Greatest Common Factor of 6952/626, 6812/1565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6952/626, 6812/1565

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 6952/626,6812/1565

Given fractions are 6952/626,6812/1565

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 6952,6812

Greatest Common Factor of Numerators i.e. GCF of 6952,6812 is 4 .

LCM of Denominators means LCM of 626,1565 as per the given fractions.

LCM of 626,1565 is 3130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6952,6812

GCF of Fractions 6952/626,6812/1565 is 4/3130

2 6952, 6812
2 3476, 3406
1738, 1703

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6952,6812 By Matching Biggest Common Factor Method

Greatest Common Factor of 6952,6812 By Matching Biggest Common Factor Method

Factors of 6952

List of positive integer factors of 6952 that divides 6952 without a remainder.

1,2,4,8,11,22,44,79,88,158,316,632,869,1738,3476,6952

Factors of 6812

List of positive integer factors of 6812 that divides 6812 without a remainder.

1,2,4,13,26,52,131,262,524,1703,3406,6812

Greatest Common Factor

We found the factors 6952,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 6952,6812 is 4.

Lets's calculate LCM of 626,1565

313 626, 1565
2, 5

∴ So the LCM of the given numbers is 313 x 2 x 5 = 3130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3130

Therefore, the GCF of Fractions 6952/626,6812/1565 is 4/3130

Least Common Multiple of 626,1565 with GCF Formula

Least Common Multiple of 626,1565 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 626,1565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,1565) = 313

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

GCF(626,1565) x common factors =313 x 1 = 313

LCM(626,1565) = ( 626 × 1565 ) / 313

LCM(626,1565) = 979690 / 313

LCM(626,1565) = 3130


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 6952/626, 6812/1565

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 6952/626, 6812/1565?

Answer: GCF of Numerators as per given numbers 6952/626, 6812/1565 is

GCF of Numerators i.e. for 6952,6812 is 4

LCM of denominators i.e. for 626,1565 is 3130.

Thus, GCF of Fractions is 4/3130.Finally, GCF of Fractions for 6952/626, 6812/1565 is 4/3130.