Greatest Common Factor of 983/72, 114/66, 517/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 983/72, 114/66, 517/628

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 983/72,114/66,517/628

Given fractions are 983/72,114/66,517/628

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 983,114,517

Greatest Common Factor of Numerators i.e. GCF of 983,114,517 is 1 .

LCM of Denominators means LCM of 72,66,628 as per the given fractions.

LCM of 72,66,628 is 124344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 983,114,517

GCF of Fractions 983/72,114/66,517/628 is 1/124344

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 983,114,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,114,517 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 983,114,517 . The biggest common factor number is the GCF number.
So the greatest common factor 983,114,517 is 1.

Lets's calculate LCM of 72,66,628

2 72, 66, 628
2 36, 33, 314
3 18, 33, 157
6, 11, 157

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 11 x 157 = 124344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124344

Therefore, the GCF of Fractions 983/72,114/66,517/628 is 1/124344

Least Common Multiple of 72,66,628 with GCF Formula

Least Common Multiple of 72,66,628 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 72,66,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,66,628) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(72,66,628) x common factors =2 x 12 = 24

LCM(72,66,628) = ( 72 × 66 × 628 ) / 24

LCM(72,66,628) = 2984256 / 24

LCM(72,66,628) = 124344


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 983/72, 114/66, 517/628

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 983/72, 114/66, 517/628?

Answer: GCF of Numerators as per given numbers 983/72, 114/66, 517/628 is

GCF of Numerators i.e. for 983,114,517 is 1

LCM of denominators i.e. for 72,66,628 is 124344.

Thus, GCF of Fractions is 1/124344.Finally, GCF of Fractions for 983/72, 114/66, 517/628 is 1/124344.