Greatest Common Factor of 426/971, 258/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 426/971, 258/865

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 426/971,258/865

Given fractions are 426/971,258/865

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 426,258

Greatest Common Factor of Numerators i.e. GCF of 426,258 is 6 .

LCM of Denominators means LCM of 971,865 as per the given fractions.

LCM of 971,865 is 839915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 426,258

GCF of Fractions 426/971,258/865 is 6/839915

2 426, 258
3 213, 129
71, 43

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 426,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,258 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 426,258 . The biggest common factor number is the GCF number.
So the greatest common factor 426,258 is 6.

Lets's calculate LCM of 971,865

Given numbers has no common factors except 1. So, there LCM is their product i.e 839915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/839915

Therefore, the GCF of Fractions 426/971,258/865 is 6/839915

Least Common Multiple of 971,865 with GCF Formula

Least Common Multiple of 971,865 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 971,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,865) = 1

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

GCF(971,865) x common factors =1 x 1 = 1

LCM(971,865) = ( 971 × 865 ) / 1

LCM(971,865) = 839915 / 1

LCM(971,865) = 839915


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 426/971, 258/865

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 426/971, 258/865?

Answer: GCF of Numerators as per given numbers 426/971, 258/865 is

GCF of Numerators i.e. for 426,258 is 6

LCM of denominators i.e. for 971,865 is 839915.

Thus, GCF of Fractions is 6/839915.Finally, GCF of Fractions for 426/971, 258/865 is 6/839915.