Greatest Common Factor of 132/52, 196/52, 807/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 132/52, 196/52, 807/596

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 132/52,196/52,807/596

Given fractions are 132/52,196/52,807/596

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 132,196,807

Greatest Common Factor of Numerators i.e. GCF of 132,196,807 is 1 .

LCM of Denominators means LCM of 52,52,596 as per the given fractions.

LCM of 52,52,596 is 7748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 132,196,807

GCF of Fractions 132/52,196/52,807/596 is 1/7748

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

Greatest Common Factor of 132,196,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,196,807 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 132,196,807 . The biggest common factor number is the GCF number.
So the greatest common factor 132,196,807 is 1.

Lets's calculate LCM of 52,52,596

2 52, 52, 596
2 26, 26, 298
13 13, 13, 149
1, 1, 149

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 1 x 149 = 7748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7748

Therefore, the GCF of Fractions 132/52,196/52,807/596 is 1/7748

Least Common Multiple of 52,52,596 with GCF Formula

Least Common Multiple of 52,52,596 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 52,52,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,52,596) = 4

common factors(in case of two or more numbers have common factors) = 52

GCF(52,52,596) x common factors =4 x 52 = 208

LCM(52,52,596) = ( 52 × 52 × 596 ) / 208

LCM(52,52,596) = 1611584 / 208

LCM(52,52,596) = 7748


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 132/52, 196/52, 807/596

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 132/52, 196/52, 807/596?

Answer: GCF of Numerators as per given numbers 132/52, 196/52, 807/596 is

GCF of Numerators i.e. for 132,196,807 is 1

LCM of denominators i.e. for 52,52,596 is 7748.

Thus, GCF of Fractions is 1/7748.Finally, GCF of Fractions for 132/52, 196/52, 807/596 is 1/7748.