Greatest Common Factor of 66/695, 25/208, 129/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/695, 25/208, 129/831

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 66/695,25/208,129/831

Given fractions are 66/695,25/208,129/831

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 66,25,129

Greatest Common Factor of Numerators i.e. GCF of 66,25,129 is 1 .

LCM of Denominators means LCM of 695,208,831 as per the given fractions.

LCM of 695,208,831 is 120129360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,25,129

GCF of Fractions 66/695,25/208,129/831 is 1/120129360

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

Greatest Common Factor of 66,25,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,25,129 By Matching Biggest Common Factor Method

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 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 66,25,129 . The biggest common factor number is the GCF number.
So the greatest common factor 66,25,129 is 1.

Lets's calculate LCM of 695,208,831

Given numbers has no common factors except 1. So, there LCM is their product i.e 120129360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120129360

Therefore, the GCF of Fractions 66/695,25/208,129/831 is 1/120129360

Least Common Multiple of 695,208,831 with GCF Formula

Least Common Multiple of 695,208,831 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 695,208,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,208,831) = 1

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

GCF(695,208,831) x common factors =1 x 1 = 1

LCM(695,208,831) = ( 695 × 208 × 831 ) / 1

LCM(695,208,831) = 120129360 / 1

LCM(695,208,831) = 120129360


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 66/695, 25/208, 129/831

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 66/695, 25/208, 129/831?

Answer: GCF of Numerators as per given numbers 66/695, 25/208, 129/831 is

GCF of Numerators i.e. for 66,25,129 is 1

LCM of denominators i.e. for 695,208,831 is 120129360.

Thus, GCF of Fractions is 1/120129360.Finally, GCF of Fractions for 66/695, 25/208, 129/831 is 1/120129360.