Greatest Common Factor of 7525/22, 1727/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7525/22, 1727/801

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 7525/22,1727/801

Given fractions are 7525/22,1727/801

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 7525,1727

Greatest Common Factor of Numerators i.e. GCF of 7525,1727 is 1 .

LCM of Denominators means LCM of 22,801 as per the given fractions.

LCM of 22,801 is 17622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7525,1727

GCF of Fractions 7525/22,1727/801 is 1/17622

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

Greatest Common Factor of 7525,1727 By Matching Biggest Common Factor Method

Greatest Common Factor of 7525,1727 By Matching Biggest Common Factor Method

Factors of 7525

List of positive integer factors of 7525 that divides 7525 without a remainder.

1,5,7,25,35,43,175,215,301,1075,1505,7525

Factors of 1727

List of positive integer factors of 1727 that divides 1727 without a remainder.

1,11,157,1727

Greatest Common Factor

We found the factors 7525,1727 . The biggest common factor number is the GCF number.
So the greatest common factor 7525,1727 is 1.

Lets's calculate LCM of 22,801

Given numbers has no common factors except 1. So, there LCM is their product i.e 17622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17622

Therefore, the GCF of Fractions 7525/22,1727/801 is 1/17622

Least Common Multiple of 22,801 with GCF Formula

Least Common Multiple of 22,801 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 22,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,801) = 1

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

GCF(22,801) x common factors =1 x 1 = 1

LCM(22,801) = ( 22 × 801 ) / 1

LCM(22,801) = 17622 / 1

LCM(22,801) = 17622


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 7525/22, 1727/801

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 7525/22, 1727/801?

Answer: GCF of Numerators as per given numbers 7525/22, 1727/801 is

GCF of Numerators i.e. for 7525,1727 is 1

LCM of denominators i.e. for 22,801 is 17622.

Thus, GCF of Fractions is 1/17622.Finally, GCF of Fractions for 7525/22, 1727/801 is 1/17622.