Greatest Common Factor of 8088/508, 2900/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8088/508, 2900/502

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 8088/508,2900/502

Given fractions are 8088/508,2900/502

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 8088,2900

Greatest Common Factor of Numerators i.e. GCF of 8088,2900 is 4 .

LCM of Denominators means LCM of 508,502 as per the given fractions.

LCM of 508,502 is 127508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8088,2900

GCF of Fractions 8088/508,2900/502 is 4/127508

2 8088, 2900
2 4044, 1450
2022, 725

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

Greatest Common Factor of 8088,2900 By Matching Biggest Common Factor Method

Greatest Common Factor of 8088,2900 By Matching Biggest Common Factor Method

Factors of 8088

List of positive integer factors of 8088 that divides 8088 without a remainder.

1,2,3,4,6,8,12,24,337,674,1011,1348,2022,2696,4044,8088

Factors of 2900

List of positive integer factors of 2900 that divides 2900 without a remainder.

1,2,4,5,10,20,25,29,50,58,100,116,145,290,580,725,1450,2900

Greatest Common Factor

We found the factors 8088,2900 . The biggest common factor number is the GCF number.
So the greatest common factor 8088,2900 is 4.

Lets's calculate LCM of 508,502

2 508, 502
254, 251

∴ So the LCM of the given numbers is 2 x 254 x 251 = 127508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/127508

Therefore, the GCF of Fractions 8088/508,2900/502 is 4/127508

Least Common Multiple of 508,502 with GCF Formula

Least Common Multiple of 508,502 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 508,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,502) = 2

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

GCF(508,502) x common factors =2 x 1 = 2

LCM(508,502) = ( 508 × 502 ) / 2

LCM(508,502) = 255016 / 2

LCM(508,502) = 127508


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 8088/508, 2900/502

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 8088/508, 2900/502?

Answer: GCF of Numerators as per given numbers 8088/508, 2900/502 is

GCF of Numerators i.e. for 8088,2900 is 4

LCM of denominators i.e. for 508,502 is 127508.

Thus, GCF of Fractions is 4/127508.Finally, GCF of Fractions for 8088/508, 2900/502 is 4/127508.