Greatest Common Factor of 5772/907, 1642/8626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5772/907, 1642/8626

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 5772/907,1642/8626

Given fractions are 5772/907,1642/8626

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 5772,1642

Greatest Common Factor of Numerators i.e. GCF of 5772,1642 is 2 .

LCM of Denominators means LCM of 907,8626 as per the given fractions.

LCM of 907,8626 is 7823782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5772,1642

GCF of Fractions 5772/907,1642/8626 is 2/7823782

2 5772, 1642
2886, 821

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

Greatest Common Factor of 5772,1642 By Matching Biggest Common Factor Method

Greatest Common Factor of 5772,1642 By Matching Biggest Common Factor Method

Factors of 5772

List of positive integer factors of 5772 that divides 5772 without a remainder.

1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772

Factors of 1642

List of positive integer factors of 1642 that divides 1642 without a remainder.

1,2,821,1642

Greatest Common Factor

We found the factors 5772,1642 . The biggest common factor number is the GCF number.
So the greatest common factor 5772,1642 is 2.

Lets's calculate LCM of 907,8626

Given numbers has no common factors except 1. So, there LCM is their product i.e 7823782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7823782

Therefore, the GCF of Fractions 5772/907,1642/8626 is 2/7823782

Least Common Multiple of 907,8626 with GCF Formula

Least Common Multiple of 907,8626 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 907,8626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,8626) = 1

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

GCF(907,8626) x common factors =1 x 1 = 1

LCM(907,8626) = ( 907 × 8626 ) / 1

LCM(907,8626) = 7823782 / 1

LCM(907,8626) = 7823782


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 5772/907, 1642/8626

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 5772/907, 1642/8626?

Answer: GCF of Numerators as per given numbers 5772/907, 1642/8626 is

GCF of Numerators i.e. for 5772,1642 is 2

LCM of denominators i.e. for 907,8626 is 7823782.

Thus, GCF of Fractions is 2/7823782.Finally, GCF of Fractions for 5772/907, 1642/8626 is 2/7823782.