Greatest Common Factor of 5164/68, 2990/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5164/68, 2990/960

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 5164/68,2990/960

Given fractions are 5164/68,2990/960

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 5164,2990

Greatest Common Factor of Numerators i.e. GCF of 5164,2990 is 2 .

LCM of Denominators means LCM of 68,960 as per the given fractions.

LCM of 68,960 is 16320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5164,2990

GCF of Fractions 5164/68,2990/960 is 2/16320

2 5164, 2990
2582, 1495

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

Greatest Common Factor of 5164,2990 By Matching Biggest Common Factor Method

Greatest Common Factor of 5164,2990 By Matching Biggest Common Factor Method

Factors of 5164

List of positive integer factors of 5164 that divides 5164 without a remainder.

1,2,4,1291,2582,5164

Factors of 2990

List of positive integer factors of 2990 that divides 2990 without a remainder.

1,2,5,10,13,23,26,46,65,115,130,230,299,598,1495,2990

Greatest Common Factor

We found the factors 5164,2990 . The biggest common factor number is the GCF number.
So the greatest common factor 5164,2990 is 2.

Lets's calculate LCM of 68,960

2 68, 960
2 34, 480
17, 240

∴ So the LCM of the given numbers is 2 x 2 x 17 x 240 = 16320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16320

Therefore, the GCF of Fractions 5164/68,2990/960 is 2/16320

Least Common Multiple of 68,960 with GCF Formula

Least Common Multiple of 68,960 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 68,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,960) = 4

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

GCF(68,960) x common factors =4 x 1 = 4

LCM(68,960) = ( 68 × 960 ) / 4

LCM(68,960) = 65280 / 4

LCM(68,960) = 16320


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 5164/68, 2990/960

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 5164/68, 2990/960?

Answer: GCF of Numerators as per given numbers 5164/68, 2990/960 is

GCF of Numerators i.e. for 5164,2990 is 2

LCM of denominators i.e. for 68,960 is 16320.

Thus, GCF of Fractions is 2/16320.Finally, GCF of Fractions for 5164/68, 2990/960 is 2/16320.