Greatest Common Factor of 3143/175, 9577/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3143/175, 9577/527

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 3143/175,9577/527

Given fractions are 3143/175,9577/527

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 3143,9577

Greatest Common Factor of Numerators i.e. GCF of 3143,9577 is 1 .

LCM of Denominators means LCM of 175,527 as per the given fractions.

LCM of 175,527 is 92225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3143,9577

GCF of Fractions 3143/175,9577/527 is 1/92225

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

Greatest Common Factor of 3143,9577 By Matching Biggest Common Factor Method

Greatest Common Factor of 3143,9577 By Matching Biggest Common Factor Method

Factors of 3143

List of positive integer factors of 3143 that divides 3143 without a remainder.

1,7,449,3143

Factors of 9577

List of positive integer factors of 9577 that divides 9577 without a remainder.

1,61,157,9577

Greatest Common Factor

We found the factors 3143,9577 . The biggest common factor number is the GCF number.
So the greatest common factor 3143,9577 is 1.

Lets's calculate LCM of 175,527

Given numbers has no common factors except 1. So, there LCM is their product i.e 92225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92225

Therefore, the GCF of Fractions 3143/175,9577/527 is 1/92225

Least Common Multiple of 175,527 with GCF Formula

Least Common Multiple of 175,527 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 175,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,527) = 1

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

GCF(175,527) x common factors =1 x 1 = 1

LCM(175,527) = ( 175 × 527 ) / 1

LCM(175,527) = 92225 / 1

LCM(175,527) = 92225


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 3143/175, 9577/527

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 3143/175, 9577/527?

Answer: GCF of Numerators as per given numbers 3143/175, 9577/527 is

GCF of Numerators i.e. for 3143,9577 is 1

LCM of denominators i.e. for 175,527 is 92225.

Thus, GCF of Fractions is 1/92225.Finally, GCF of Fractions for 3143/175, 9577/527 is 1/92225.