Greatest Common Factor of 8028/352, 7598/9762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8028/352, 7598/9762

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 8028/352,7598/9762

Given fractions are 8028/352,7598/9762

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 8028,7598

Greatest Common Factor of Numerators i.e. GCF of 8028,7598 is 2 .

LCM of Denominators means LCM of 352,9762 as per the given fractions.

LCM of 352,9762 is 1718112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8028,7598

GCF of Fractions 8028/352,7598/9762 is 2/1718112

2 8028, 7598
4014, 3799

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

Greatest Common Factor of 8028,7598 By Matching Biggest Common Factor Method

Greatest Common Factor of 8028,7598 By Matching Biggest Common Factor Method

Factors of 8028

List of positive integer factors of 8028 that divides 8028 without a remainder.

1,2,3,4,6,9,12,18,36,223,446,669,892,1338,2007,2676,4014,8028

Factors of 7598

List of positive integer factors of 7598 that divides 7598 without a remainder.

1,2,29,58,131,262,3799,7598

Greatest Common Factor

We found the factors 8028,7598 . The biggest common factor number is the GCF number.
So the greatest common factor 8028,7598 is 2.

Lets's calculate LCM of 352,9762

2 352, 9762
176, 4881

∴ So the LCM of the given numbers is 2 x 176 x 4881 = 1718112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1718112

Therefore, the GCF of Fractions 8028/352,7598/9762 is 2/1718112

Least Common Multiple of 352,9762 with GCF Formula

Least Common Multiple of 352,9762 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 352,9762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,9762) = 2

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

GCF(352,9762) x common factors =2 x 1 = 2

LCM(352,9762) = ( 352 × 9762 ) / 2

LCM(352,9762) = 3436224 / 2

LCM(352,9762) = 1718112


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8028/352, 7598/9762

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 8028/352, 7598/9762?

Answer: GCF of Numerators as per given numbers 8028/352, 7598/9762 is

GCF of Numerators i.e. for 8028,7598 is 2

LCM of denominators i.e. for 352,9762 is 1718112.

Thus, GCF of Fractions is 2/1718112.Finally, GCF of Fractions for 8028/352, 7598/9762 is 2/1718112.