Greatest Common Factor of 960/5028, 310/8614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 960/5028, 310/8614

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 960/5028,310/8614

Given fractions are 960/5028,310/8614

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 960,310

Greatest Common Factor of Numerators i.e. GCF of 960,310 is 10 .

LCM of Denominators means LCM of 5028,8614 as per the given fractions.

LCM of 5028,8614 is 21655596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 960,310

GCF of Fractions 960/5028,310/8614 is 10/21655596

2 960, 310
5 480, 155
96, 31

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 960,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,310 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 960,310 . The biggest common factor number is the GCF number.
So the greatest common factor 960,310 is 10.

Lets's calculate LCM of 5028,8614

2 5028, 8614
2514, 4307

∴ So the LCM of the given numbers is 2 x 2514 x 4307 = 21655596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/21655596

Therefore, the GCF of Fractions 960/5028,310/8614 is 10/21655596

Least Common Multiple of 5028,8614 with GCF Formula

Least Common Multiple of 5028,8614 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 5028,8614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5028,8614) = 2

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

GCF(5028,8614) x common factors =2 x 1 = 2

LCM(5028,8614) = ( 5028 × 8614 ) / 2

LCM(5028,8614) = 43311192 / 2

LCM(5028,8614) = 21655596


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 960/5028, 310/8614

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 960/5028, 310/8614?

Answer: GCF of Numerators as per given numbers 960/5028, 310/8614 is

GCF of Numerators i.e. for 960,310 is 10

LCM of denominators i.e. for 5028,8614 is 21655596.

Thus, GCF of Fractions is 10/21655596.Finally, GCF of Fractions for 960/5028, 310/8614 is 10/21655596.