Greatest Common Factor of 9406/822, 7638/5028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9406/822, 7638/5028

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 9406/822,7638/5028

Given fractions are 9406/822,7638/5028

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 9406,7638

Greatest Common Factor of Numerators i.e. GCF of 9406,7638 is 2 .

LCM of Denominators means LCM of 822,5028 as per the given fractions.

LCM of 822,5028 is 688836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9406,7638

GCF of Fractions 9406/822,7638/5028 is 2/688836

2 9406, 7638
4703, 3819

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

Greatest Common Factor of 9406,7638 By Matching Biggest Common Factor Method

Greatest Common Factor of 9406,7638 By Matching Biggest Common Factor Method

Factors of 9406

List of positive integer factors of 9406 that divides 9406 without a remainder.

1,2,4703,9406

Factors of 7638

List of positive integer factors of 7638 that divides 7638 without a remainder.

1,2,3,6,19,38,57,67,114,134,201,402,1273,2546,3819,7638

Greatest Common Factor

We found the factors 9406,7638 . The biggest common factor number is the GCF number.
So the greatest common factor 9406,7638 is 2.

Lets's calculate LCM of 822,5028

2 822, 5028
3 411, 2514
137, 838

∴ So the LCM of the given numbers is 2 x 3 x 137 x 838 = 688836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/688836

Therefore, the GCF of Fractions 9406/822,7638/5028 is 2/688836

Least Common Multiple of 822,5028 with GCF Formula

Least Common Multiple of 822,5028 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 822,5028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,5028) = 6

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

GCF(822,5028) x common factors =6 x 1 = 6

LCM(822,5028) = ( 822 × 5028 ) / 6

LCM(822,5028) = 4133016 / 6

LCM(822,5028) = 688836


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 9406/822, 7638/5028

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 9406/822, 7638/5028?

Answer: GCF of Numerators as per given numbers 9406/822, 7638/5028 is

GCF of Numerators i.e. for 9406,7638 is 2

LCM of denominators i.e. for 822,5028 is 688836.

Thus, GCF of Fractions is 2/688836.Finally, GCF of Fractions for 9406/822, 7638/5028 is 2/688836.