Greatest Common Factor of 925/26, 544/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 925/26, 544/561

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 925/26,544/561

Given fractions are 925/26,544/561

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 925,544

Greatest Common Factor of Numerators i.e. GCF of 925,544 is 1 .

LCM of Denominators means LCM of 26,561 as per the given fractions.

LCM of 26,561 is 14586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 925,544

GCF of Fractions 925/26,544/561 is 1/14586

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

Greatest Common Factor of 925,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 925,544 By Matching Biggest Common Factor Method

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 925,544 . The biggest common factor number is the GCF number.
So the greatest common factor 925,544 is 1.

Lets's calculate LCM of 26,561

Given numbers has no common factors except 1. So, there LCM is their product i.e 14586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14586

Therefore, the GCF of Fractions 925/26,544/561 is 1/14586

Least Common Multiple of 26,561 with GCF Formula

Least Common Multiple of 26,561 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 26,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,561) = 1

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

GCF(26,561) x common factors =1 x 1 = 1

LCM(26,561) = ( 26 × 561 ) / 1

LCM(26,561) = 14586 / 1

LCM(26,561) = 14586


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 925/26, 544/561

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 925/26, 544/561?

Answer: GCF of Numerators as per given numbers 925/26, 544/561 is

GCF of Numerators i.e. for 925,544 is 1

LCM of denominators i.e. for 26,561 is 14586.

Thus, GCF of Fractions is 1/14586.Finally, GCF of Fractions for 925/26, 544/561 is 1/14586.