Greatest Common Factor of 975/82, 624/95, 179/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 975/82, 624/95, 179/471

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 975/82,624/95,179/471

Given fractions are 975/82,624/95,179/471

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 975,624,179

Greatest Common Factor of Numerators i.e. GCF of 975,624,179 is 1 .

LCM of Denominators means LCM of 82,95,471 as per the given fractions.

LCM of 82,95,471 is 3669090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 975,624,179

GCF of Fractions 975/82,624/95,179/471 is 1/3669090

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

Greatest Common Factor of 975,624,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,624,179 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 975,624,179 . The biggest common factor number is the GCF number.
So the greatest common factor 975,624,179 is 1.

Lets's calculate LCM of 82,95,471

Given numbers has no common factors except 1. So, there LCM is their product i.e 3669090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3669090

Therefore, the GCF of Fractions 975/82,624/95,179/471 is 1/3669090

Least Common Multiple of 82,95,471 with GCF Formula

Least Common Multiple of 82,95,471 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 82,95,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,95,471) = 1

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

GCF(82,95,471) x common factors =1 x 1 = 1

LCM(82,95,471) = ( 82 × 95 × 471 ) / 1

LCM(82,95,471) = 3669090 / 1

LCM(82,95,471) = 3669090


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 975/82, 624/95, 179/471

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 975/82, 624/95, 179/471?

Answer: GCF of Numerators as per given numbers 975/82, 624/95, 179/471 is

GCF of Numerators i.e. for 975,624,179 is 1

LCM of denominators i.e. for 82,95,471 is 3669090.

Thus, GCF of Fractions is 1/3669090.Finally, GCF of Fractions for 975/82, 624/95, 179/471 is 1/3669090.