Greatest Common Factor of 9464/877, 7048/2709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9464/877, 7048/2709

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 9464/877,7048/2709

Given fractions are 9464/877,7048/2709

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 9464,7048

Greatest Common Factor of Numerators i.e. GCF of 9464,7048 is 8 .

LCM of Denominators means LCM of 877,2709 as per the given fractions.

LCM of 877,2709 is 2375793 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9464,7048

GCF of Fractions 9464/877,7048/2709 is 8/2375793

2 9464, 7048
2 4732, 3524
2 2366, 1762
1183, 881

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 9464,7048 By Matching Biggest Common Factor Method

Greatest Common Factor of 9464,7048 By Matching Biggest Common Factor Method

Factors of 9464

List of positive integer factors of 9464 that divides 9464 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464

Factors of 7048

List of positive integer factors of 7048 that divides 7048 without a remainder.

1,2,4,8,881,1762,3524,7048

Greatest Common Factor

We found the factors 9464,7048 . The biggest common factor number is the GCF number.
So the greatest common factor 9464,7048 is 8.

Lets's calculate LCM of 877,2709

Given numbers has no common factors except 1. So, there LCM is their product i.e 2375793

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2375793

Therefore, the GCF of Fractions 9464/877,7048/2709 is 8/2375793

Least Common Multiple of 877,2709 with GCF Formula

Least Common Multiple of 877,2709 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 877,2709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,2709) = 1

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

GCF(877,2709) x common factors =1 x 1 = 1

LCM(877,2709) = ( 877 × 2709 ) / 1

LCM(877,2709) = 2375793 / 1

LCM(877,2709) = 2375793


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 9464/877, 7048/2709

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 9464/877, 7048/2709?

Answer: GCF of Numerators as per given numbers 9464/877, 7048/2709 is

GCF of Numerators i.e. for 9464,7048 is 8

LCM of denominators i.e. for 877,2709 is 2375793.

Thus, GCF of Fractions is 8/2375793.Finally, GCF of Fractions for 9464/877, 7048/2709 is 8/2375793.