Greatest Common Factor of 32/655, 62/922, 764/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/655, 62/922, 764/175

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 32/655,62/922,764/175

Given fractions are 32/655,62/922,764/175

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 32,62,764

Greatest Common Factor of Numerators i.e. GCF of 32,62,764 is 2 .

LCM of Denominators means LCM of 655,922,175 as per the given fractions.

LCM of 655,922,175 is 21136850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,62,764

GCF of Fractions 32/655,62/922,764/175 is 2/21136850

2 32, 62, 764
16, 31, 382

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

Greatest Common Factor of 32,62,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,62,764 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 32,62,764 . The biggest common factor number is the GCF number.
So the greatest common factor 32,62,764 is 2.

Lets's calculate LCM of 655,922,175

5 655, 922, 175
131, 922, 35

∴ So the LCM of the given numbers is 5 x 131 x 922 x 35 = 21136850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21136850

Therefore, the GCF of Fractions 32/655,62/922,764/175 is 2/21136850

Least Common Multiple of 655,922,175 with GCF Formula

Least Common Multiple of 655,922,175 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 655,922,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,922,175) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(655,922,175) x common factors =1 x 5 = 5

LCM(655,922,175) = ( 655 × 922 × 175 ) / 5

LCM(655,922,175) = 105684250 / 5

LCM(655,922,175) = 21136850


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 32/655, 62/922, 764/175

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 32/655, 62/922, 764/175?

Answer: GCF of Numerators as per given numbers 32/655, 62/922, 764/175 is

GCF of Numerators i.e. for 32,62,764 is 2

LCM of denominators i.e. for 655,922,175 is 21136850.

Thus, GCF of Fractions is 2/21136850.Finally, GCF of Fractions for 32/655, 62/922, 764/175 is 2/21136850.