Greatest Common Factor of 26/49, 66/25, 75/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/49, 66/25, 75/777

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 26/49,66/25,75/777

Given fractions are 26/49,66/25,75/777

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 26,66,75

Greatest Common Factor of Numerators i.e. GCF of 26,66,75 is 1 .

LCM of Denominators means LCM of 49,25,777 as per the given fractions.

LCM of 49,25,777 is 135975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,66,75

GCF of Fractions 26/49,66/25,75/777 is 1/135975

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

Greatest Common Factor of 26,66,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,66,75 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Greatest Common Factor

We found the factors 26,66,75 . The biggest common factor number is the GCF number.
So the greatest common factor 26,66,75 is 1.

Lets's calculate LCM of 49,25,777

7 49, 25, 777
7, 25, 111

∴ So the LCM of the given numbers is 7 x 7 x 25 x 111 = 135975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135975

Therefore, the GCF of Fractions 26/49,66/25,75/777 is 1/135975

Least Common Multiple of 49,25,777 with GCF Formula

Least Common Multiple of 49,25,777 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 49,25,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,25,777) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,25,777) x common factors =1 x 7 = 7

LCM(49,25,777) = ( 49 × 25 × 777 ) / 7

LCM(49,25,777) = 951825 / 7

LCM(49,25,777) = 135975


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 26/49, 66/25, 75/777

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 26/49, 66/25, 75/777?

Answer: GCF of Numerators as per given numbers 26/49, 66/25, 75/777 is

GCF of Numerators i.e. for 26,66,75 is 1

LCM of denominators i.e. for 49,25,777 is 135975.

Thus, GCF of Fractions is 1/135975.Finally, GCF of Fractions for 26/49, 66/25, 75/777 is 1/135975.