Greatest Common Factor of 1064/251, 5858/9295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1064/251, 5858/9295

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 1064/251,5858/9295

Given fractions are 1064/251,5858/9295

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 1064,5858

Greatest Common Factor of Numerators i.e. GCF of 1064,5858 is 2 .

LCM of Denominators means LCM of 251,9295 as per the given fractions.

LCM of 251,9295 is 2333045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1064,5858

GCF of Fractions 1064/251,5858/9295 is 2/2333045

2 1064, 5858
532, 2929

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1064,5858 By Matching Biggest Common Factor Method

Greatest Common Factor of 1064,5858 By Matching Biggest Common Factor Method

Factors of 1064

List of positive integer factors of 1064 that divides 1064 without a remainder.

1,2,4,7,8,14,19,28,38,56,76,133,152,266,532,1064

Factors of 5858

List of positive integer factors of 5858 that divides 5858 without a remainder.

1,2,29,58,101,202,2929,5858

Greatest Common Factor

We found the factors 1064,5858 . The biggest common factor number is the GCF number.
So the greatest common factor 1064,5858 is 2.

Lets's calculate LCM of 251,9295

Given numbers has no common factors except 1. So, there LCM is their product i.e 2333045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2333045

Therefore, the GCF of Fractions 1064/251,5858/9295 is 2/2333045

Least Common Multiple of 251,9295 with GCF Formula

Least Common Multiple of 251,9295 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 251,9295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,9295) = 1

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

GCF(251,9295) x common factors =1 x 1 = 1

LCM(251,9295) = ( 251 × 9295 ) / 1

LCM(251,9295) = 2333045 / 1

LCM(251,9295) = 2333045


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 1064/251, 5858/9295

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 1064/251, 5858/9295?

Answer: GCF of Numerators as per given numbers 1064/251, 5858/9295 is

GCF of Numerators i.e. for 1064,5858 is 2

LCM of denominators i.e. for 251,9295 is 2333045.

Thus, GCF of Fractions is 2/2333045.Finally, GCF of Fractions for 1064/251, 5858/9295 is 2/2333045.