Methods of Finding the Greatest Common Divisor

By Ashok Kumar, B.E.

Fact-checked: February 16, 2026

Ashok Kumar, B.E.

Founder of Math Doubts

A Specialist in Mathematics, Physics, and Engineering with 14 years of experience helping students master complex concepts from basics to advanced levels with clarity and precision.

Story of Math Doubts

Methods of Finding the Greatest Common Divisor

Common factor method

Prime factor method

Division method

Ashok Kumar, B.E.

Latest Math Concepts

(a−b)² Formula Explained with Expansion, Proof, Examples & Uses

What are Factors of 2? Positive, Negative, & Factor Pairs

What is a Negative Factor of a number?

What is a Trigonometric ratio?

What is a Point in geometry?

What is a Factor in Higher mathematics?

Latest Math Questions

Evaluate ∫sec(2x) dx

Prove $\log{(1+2+3)}$ $\,=\,$ $\log{(1)}$ $+$ $\log{(2)}$ $+$ $\log{(3)}$

Evaluate $5\cos{x}$ $-$ $12\sin{x}$, if $5\sin{x}$ $+$ $12\cos{x}$ $=$ $13$

Evaluate $\displaystyle \large \lim_{x \,\to\, 0}{\normalsize \dfrac{\sqrt{1-\cos{2x}}}{x}}$

Evaluate $\dfrac{1}{\log_{2}{30}}$ $+$ $\dfrac{1}{\log_{3}{30}}$ $+$ $\dfrac{1}{\log_{5}{30}}$

Evaluate $\displaystyle \large \lim_{x \,\to\, 2}{\normalsize (x^3-5x+6)}$ by Direct substitution