Greatest Common Factor of 982/42, 680/53, 918/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 982/42, 680/53, 918/315

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 982/42,680/53,918/315

Given fractions are 982/42,680/53,918/315

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 982,680,918

Greatest Common Factor of Numerators i.e. GCF of 982,680,918 is 2 .

LCM of Denominators means LCM of 42,53,315 as per the given fractions.

LCM of 42,53,315 is 33390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 982,680,918

GCF of Fractions 982/42,680/53,918/315 is 2/33390

2 982, 680, 918
491, 340, 459

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

Greatest Common Factor of 982,680,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,680,918 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 982,680,918 . The biggest common factor number is the GCF number.
So the greatest common factor 982,680,918 is 2.

Lets's calculate LCM of 42,53,315

3 42, 53, 315
7 14, 53, 105
2, 53, 15

∴ So the LCM of the given numbers is 3 x 7 x 2 x 53 x 15 = 33390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33390

Therefore, the GCF of Fractions 982/42,680/53,918/315 is 2/33390

Least Common Multiple of 42,53,315 with GCF Formula

Least Common Multiple of 42,53,315 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 42,53,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,53,315) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(42,53,315) x common factors =1 x 21 = 21

LCM(42,53,315) = ( 42 × 53 × 315 ) / 21

LCM(42,53,315) = 701190 / 21

LCM(42,53,315) = 33390


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 982/42, 680/53, 918/315

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 982/42, 680/53, 918/315?

Answer: GCF of Numerators as per given numbers 982/42, 680/53, 918/315 is

GCF of Numerators i.e. for 982,680,918 is 2

LCM of denominators i.e. for 42,53,315 is 33390.

Thus, GCF of Fractions is 2/33390.Finally, GCF of Fractions for 982/42, 680/53, 918/315 is 2/33390.