Greatest Common Factor of 704/464, 2132/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 704/464, 2132/268

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 704/464,2132/268

Given fractions are 704/464,2132/268

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 704,2132

Greatest Common Factor of Numerators i.e. GCF of 704,2132 is 4 .

LCM of Denominators means LCM of 464,268 as per the given fractions.

LCM of 464,268 is 31088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 704,2132

GCF of Fractions 704/464,2132/268 is 4/31088

2 704, 2132
2 352, 1066
176, 533

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 704,2132 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,2132 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 2132

List of positive integer factors of 2132 that divides 2132 without a remainder.

1,2,4,13,26,41,52,82,164,533,1066,2132

Greatest Common Factor

We found the factors 704,2132 . The biggest common factor number is the GCF number.
So the greatest common factor 704,2132 is 4.

Lets's calculate LCM of 464,268

2 464, 268
2 232, 134
116, 67

∴ So the LCM of the given numbers is 2 x 2 x 116 x 67 = 31088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/31088

Therefore, the GCF of Fractions 704/464,2132/268 is 4/31088

Least Common Multiple of 464,268 with GCF Formula

Least Common Multiple of 464,268 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 464,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,268) = 4

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

GCF(464,268) x common factors =4 x 1 = 4

LCM(464,268) = ( 464 × 268 ) / 4

LCM(464,268) = 124352 / 4

LCM(464,268) = 31088


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 704/464, 2132/268

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 704/464, 2132/268?

Answer: GCF of Numerators as per given numbers 704/464, 2132/268 is

GCF of Numerators i.e. for 704,2132 is 4

LCM of denominators i.e. for 464,268 is 31088.

Thus, GCF of Fractions is 4/31088.Finally, GCF of Fractions for 704/464, 2132/268 is 4/31088.