Greatest Common Factor of 66/975, 12/345, 649/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/975, 12/345, 649/107

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 66/975,12/345,649/107

Given fractions are 66/975,12/345,649/107

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 66,12,649

Greatest Common Factor of Numerators i.e. GCF of 66,12,649 is 1 .

LCM of Denominators means LCM of 975,345,107 as per the given fractions.

LCM of 975,345,107 is 2399475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,12,649

GCF of Fractions 66/975,12/345,649/107 is 1/2399475

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

Greatest Common Factor of 66,12,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,12,649 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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 66,12,649 . The biggest common factor number is the GCF number.
So the greatest common factor 66,12,649 is 1.

Lets's calculate LCM of 975,345,107

3 975, 345, 107
5 325, 115, 107
65, 23, 107

∴ So the LCM of the given numbers is 3 x 5 x 65 x 23 x 107 = 2399475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2399475

Therefore, the GCF of Fractions 66/975,12/345,649/107 is 1/2399475

Least Common Multiple of 975,345,107 with GCF Formula

Least Common Multiple of 975,345,107 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 975,345,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,345,107) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(975,345,107) x common factors =1 x 15 = 15

LCM(975,345,107) = ( 975 × 345 × 107 ) / 15

LCM(975,345,107) = 35992125 / 15

LCM(975,345,107) = 2399475


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 66/975, 12/345, 649/107

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 66/975, 12/345, 649/107?

Answer: GCF of Numerators as per given numbers 66/975, 12/345, 649/107 is

GCF of Numerators i.e. for 66,12,649 is 1

LCM of denominators i.e. for 975,345,107 is 2399475.

Thus, GCF of Fractions is 1/2399475.Finally, GCF of Fractions for 66/975, 12/345, 649/107 is 1/2399475.