Greatest Common Factor of 9495/125, 4757/6972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9495/125, 4757/6972

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 9495/125,4757/6972

Given fractions are 9495/125,4757/6972

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 9495,4757

Greatest Common Factor of Numerators i.e. GCF of 9495,4757 is 1 .

LCM of Denominators means LCM of 125,6972 as per the given fractions.

LCM of 125,6972 is 871500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9495,4757

GCF of Fractions 9495/125,4757/6972 is 1/871500

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

Greatest Common Factor of 9495,4757 By Matching Biggest Common Factor Method

Greatest Common Factor of 9495,4757 By Matching Biggest Common Factor Method

Factors of 9495

List of positive integer factors of 9495 that divides 9495 without a remainder.

1,3,5,9,15,45,211,633,1055,1899,3165,9495

Factors of 4757

List of positive integer factors of 4757 that divides 4757 without a remainder.

1,67,71,4757

Greatest Common Factor

We found the factors 9495,4757 . The biggest common factor number is the GCF number.
So the greatest common factor 9495,4757 is 1.

Lets's calculate LCM of 125,6972

Given numbers has no common factors except 1. So, there LCM is their product i.e 871500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/871500

Therefore, the GCF of Fractions 9495/125,4757/6972 is 1/871500

Least Common Multiple of 125,6972 with GCF Formula

Least Common Multiple of 125,6972 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 125,6972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(125,6972) = 1

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

GCF(125,6972) x common factors =1 x 1 = 1

LCM(125,6972) = ( 125 × 6972 ) / 1

LCM(125,6972) = 871500 / 1

LCM(125,6972) = 871500


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 9495/125, 4757/6972

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 9495/125, 4757/6972?

Answer: GCF of Numerators as per given numbers 9495/125, 4757/6972 is

GCF of Numerators i.e. for 9495,4757 is 1

LCM of denominators i.e. for 125,6972 is 871500.

Thus, GCF of Fractions is 1/871500.Finally, GCF of Fractions for 9495/125, 4757/6972 is 1/871500.