Greatest Common Factor of 2602/478, 5980/1624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2602/478, 5980/1624

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 2602/478,5980/1624

Given fractions are 2602/478,5980/1624

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 2602,5980

Greatest Common Factor of Numerators i.e. GCF of 2602,5980 is 2 .

LCM of Denominators means LCM of 478,1624 as per the given fractions.

LCM of 478,1624 is 388136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2602,5980

GCF of Fractions 2602/478,5980/1624 is 2/388136

2 2602, 5980
1301, 2990

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

Greatest Common Factor of 2602,5980 By Matching Biggest Common Factor Method

Greatest Common Factor of 2602,5980 By Matching Biggest Common Factor Method

Factors of 2602

List of positive integer factors of 2602 that divides 2602 without a remainder.

1,2,1301,2602

Factors of 5980

List of positive integer factors of 5980 that divides 5980 without a remainder.

1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980

Greatest Common Factor

We found the factors 2602,5980 . The biggest common factor number is the GCF number.
So the greatest common factor 2602,5980 is 2.

Lets's calculate LCM of 478,1624

2 478, 1624
239, 812

∴ So the LCM of the given numbers is 2 x 239 x 812 = 388136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/388136

Therefore, the GCF of Fractions 2602/478,5980/1624 is 2/388136

Least Common Multiple of 478,1624 with GCF Formula

Least Common Multiple of 478,1624 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 478,1624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,1624) = 2

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

GCF(478,1624) x common factors =2 x 1 = 2

LCM(478,1624) = ( 478 × 1624 ) / 2

LCM(478,1624) = 776272 / 2

LCM(478,1624) = 388136


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 2602/478, 5980/1624

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 2602/478, 5980/1624?

Answer: GCF of Numerators as per given numbers 2602/478, 5980/1624 is

GCF of Numerators i.e. for 2602,5980 is 2

LCM of denominators i.e. for 478,1624 is 388136.

Thus, GCF of Fractions is 2/388136.Finally, GCF of Fractions for 2602/478, 5980/1624 is 2/388136.