Greatest Common Factor of 213/966, 2898/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 213/966, 2898/641

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 213/966,2898/641

Given fractions are 213/966,2898/641

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 213,2898

Greatest Common Factor of Numerators i.e. GCF of 213,2898 is 3 .

LCM of Denominators means LCM of 966,641 as per the given fractions.

LCM of 966,641 is 619206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 213,2898

GCF of Fractions 213/966,2898/641 is 3/619206

3 213, 2898
71, 966

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 213,2898 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,2898 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 2898

List of positive integer factors of 2898 that divides 2898 without a remainder.

1,2,3,6,7,9,14,18,21,23,42,46,63,69,126,138,161,207,322,414,483,966,1449,2898

Greatest Common Factor

We found the factors 213,2898 . The biggest common factor number is the GCF number.
So the greatest common factor 213,2898 is 3.

Lets's calculate LCM of 966,641

Given numbers has no common factors except 1. So, there LCM is their product i.e 619206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/619206

Therefore, the GCF of Fractions 213/966,2898/641 is 3/619206

Least Common Multiple of 966,641 with GCF Formula

Least Common Multiple of 966,641 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 966,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,641) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(966,641) x common factors =1 x 1 = 1

LCM(966,641) = ( 966 × 641 ) / 1

LCM(966,641) = 619206 / 1

LCM(966,641) = 619206


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 213/966, 2898/641

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 213/966, 2898/641?

Answer: GCF of Numerators as per given numbers 213/966, 2898/641 is

GCF of Numerators i.e. for 213,2898 is 3

LCM of denominators i.e. for 966,641 is 619206.

Thus, GCF of Fractions is 3/619206.Finally, GCF of Fractions for 213/966, 2898/641 is 3/619206.