Greatest Common Factor of 9772/365, 9571/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9772/365, 9571/275

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 9772/365,9571/275

Given fractions are 9772/365,9571/275

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 9772,9571

Greatest Common Factor of Numerators i.e. GCF of 9772,9571 is 1 .

LCM of Denominators means LCM of 365,275 as per the given fractions.

LCM of 365,275 is 20075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9772,9571

GCF of Fractions 9772/365,9571/275 is 1/20075

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

Greatest Common Factor of 9772,9571 By Matching Biggest Common Factor Method

Greatest Common Factor of 9772,9571 By Matching Biggest Common Factor Method

Factors of 9772

List of positive integer factors of 9772 that divides 9772 without a remainder.

1,2,4,7,14,28,349,698,1396,2443,4886,9772

Factors of 9571

List of positive integer factors of 9571 that divides 9571 without a remainder.

1,17,563,9571

Greatest Common Factor

We found the factors 9772,9571 . The biggest common factor number is the GCF number.
So the greatest common factor 9772,9571 is 1.

Lets's calculate LCM of 365,275

5 365, 275
73, 55

∴ So the LCM of the given numbers is 5 x 73 x 55 = 20075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20075

Therefore, the GCF of Fractions 9772/365,9571/275 is 1/20075

Least Common Multiple of 365,275 with GCF Formula

Least Common Multiple of 365,275 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 365,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,275) = 5

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

GCF(365,275) x common factors =5 x 1 = 5

LCM(365,275) = ( 365 × 275 ) / 5

LCM(365,275) = 100375 / 5

LCM(365,275) = 20075


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 9772/365, 9571/275

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 9772/365, 9571/275?

Answer: GCF of Numerators as per given numbers 9772/365, 9571/275 is

GCF of Numerators i.e. for 9772,9571 is 1

LCM of denominators i.e. for 365,275 is 20075.

Thus, GCF of Fractions is 1/20075.Finally, GCF of Fractions for 9772/365, 9571/275 is 1/20075.