Greatest Common Factor of 7064/642, 9859/1052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7064/642, 9859/1052

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 7064/642,9859/1052

Given fractions are 7064/642,9859/1052

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 7064,9859

Greatest Common Factor of Numerators i.e. GCF of 7064,9859 is 1 .

LCM of Denominators means LCM of 642,1052 as per the given fractions.

LCM of 642,1052 is 337692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7064,9859

GCF of Fractions 7064/642,9859/1052 is 1/337692

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7064,9859 By Matching Biggest Common Factor Method

Greatest Common Factor of 7064,9859 By Matching Biggest Common Factor Method

Factors of 7064

List of positive integer factors of 7064 that divides 7064 without a remainder.

1,2,4,8,883,1766,3532,7064

Factors of 9859

List of positive integer factors of 9859 that divides 9859 without a remainder.

1,9859

Greatest Common Factor

We found the factors 7064,9859 . The biggest common factor number is the GCF number.
So the greatest common factor 7064,9859 is 1.

Lets's calculate LCM of 642,1052

2 642, 1052
321, 526

∴ So the LCM of the given numbers is 2 x 321 x 526 = 337692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337692

Therefore, the GCF of Fractions 7064/642,9859/1052 is 1/337692

Least Common Multiple of 642,1052 with GCF Formula

Least Common Multiple of 642,1052 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 642,1052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,1052) = 2

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

GCF(642,1052) x common factors =2 x 1 = 2

LCM(642,1052) = ( 642 × 1052 ) / 2

LCM(642,1052) = 675384 / 2

LCM(642,1052) = 337692


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 7064/642, 9859/1052

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 7064/642, 9859/1052?

Answer: GCF of Numerators as per given numbers 7064/642, 9859/1052 is

GCF of Numerators i.e. for 7064,9859 is 1

LCM of denominators i.e. for 642,1052 is 337692.

Thus, GCF of Fractions is 1/337692.Finally, GCF of Fractions for 7064/642, 9859/1052 is 1/337692.