Greatest Common Factor of 1428/962, 7872/6508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1428/962, 7872/6508

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 1428/962,7872/6508

Given fractions are 1428/962,7872/6508

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 1428,7872

Greatest Common Factor of Numerators i.e. GCF of 1428,7872 is 12 .

LCM of Denominators means LCM of 962,6508 as per the given fractions.

LCM of 962,6508 is 3130348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1428,7872

GCF of Fractions 1428/962,7872/6508 is 12/3130348

2 1428, 7872
2 714, 3936
3 357, 1968
119, 656

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 1428,7872 By Matching Biggest Common Factor Method

Greatest Common Factor of 1428,7872 By Matching Biggest Common Factor Method

Factors of 1428

List of positive integer factors of 1428 that divides 1428 without a remainder.

1,2,3,4,6,7,12,14,17,21,28,34,42,51,68,84,102,119,204,238,357,476,714,1428

Factors of 7872

List of positive integer factors of 7872 that divides 7872 without a remainder.

1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872

Greatest Common Factor

We found the factors 1428,7872 . The biggest common factor number is the GCF number.
So the greatest common factor 1428,7872 is 12.

Lets's calculate LCM of 962,6508

2 962, 6508
481, 3254

∴ So the LCM of the given numbers is 2 x 481 x 3254 = 3130348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3130348

Therefore, the GCF of Fractions 1428/962,7872/6508 is 12/3130348

Least Common Multiple of 962,6508 with GCF Formula

Least Common Multiple of 962,6508 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 962,6508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,6508) = 2

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

GCF(962,6508) x common factors =2 x 1 = 2

LCM(962,6508) = ( 962 × 6508 ) / 2

LCM(962,6508) = 6260696 / 2

LCM(962,6508) = 3130348


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 1428/962, 7872/6508

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 1428/962, 7872/6508?

Answer: GCF of Numerators as per given numbers 1428/962, 7872/6508 is

GCF of Numerators i.e. for 1428,7872 is 12

LCM of denominators i.e. for 962,6508 is 3130348.

Thus, GCF of Fractions is 12/3130348.Finally, GCF of Fractions for 1428/962, 7872/6508 is 12/3130348.