Greatest Common Factor of 181/979, 525/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 181/979, 525/560

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 181/979,525/560

Given fractions are 181/979,525/560

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 181,525

Greatest Common Factor of Numerators i.e. GCF of 181,525 is 1 .

LCM of Denominators means LCM of 979,560 as per the given fractions.

LCM of 979,560 is 548240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 181,525

GCF of Fractions 181/979,525/560 is 1/548240

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

Greatest Common Factor of 181,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 181,525 By Matching Biggest Common Factor Method

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 181,525 . The biggest common factor number is the GCF number.
So the greatest common factor 181,525 is 1.


Lets's calculate LCM of 979,560

Given numbers has no common factors except 1. So, there LCM is their product i.e 548240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/548240

Therefore, the GCF of Fractions 181/979,525/560 is 1/548240

Least Common Multiple of 979,560 with GCF Formula

Least Common Multiple of 979,560 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 979,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,560) = 1

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

GCF(979,560) x common factors =1 x 1 = 1

LCM(979,560) = ( 979 × 560 ) / 1

LCM(979,560) = 548240 / 1

LCM(979,560) = 548240


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 181/979, 525/560

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 181/979, 525/560?

Answer: GCF of Numerators as per given numbers 181/979, 525/560 is

GCF of Numerators i.e. for 181,525 is 1

LCM of denominators i.e. for 979,560 is 548240.

Thus, GCF of Fractions is 1/548240.Finally, GCF of Fractions for 181/979, 525/560 is 1/548240.