Greatest Common Factor of 75/352, 155/776, 158/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/352, 155/776, 158/634

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 75/352,155/776,158/634

Given fractions are 75/352,155/776,158/634

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 75,155,158

Greatest Common Factor of Numerators i.e. GCF of 75,155,158 is 1 .

LCM of Denominators means LCM of 352,776,634 as per the given fractions.

LCM of 352,776,634 is 10823648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,155,158

GCF of Fractions 75/352,155/776,158/634 is 1/10823648

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

Greatest Common Factor of 75,155,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,155,158 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 75,155,158 . The biggest common factor number is the GCF number.
So the greatest common factor 75,155,158 is 1.

Lets's calculate LCM of 352,776,634

2 352, 776, 634
2 176, 388, 317
2 88, 194, 317
44, 97, 317

∴ So the LCM of the given numbers is 2 x 2 x 2 x 44 x 97 x 317 = 10823648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10823648

Therefore, the GCF of Fractions 75/352,155/776,158/634 is 1/10823648

Least Common Multiple of 352,776,634 with GCF Formula

Least Common Multiple of 352,776,634 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 352,776,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,776,634) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(352,776,634) x common factors =2 x 8 = 16

LCM(352,776,634) = ( 352 × 776 × 634 ) / 16

LCM(352,776,634) = 173178368 / 16

LCM(352,776,634) = 10823648


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 75/352, 155/776, 158/634

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 75/352, 155/776, 158/634?

Answer: GCF of Numerators as per given numbers 75/352, 155/776, 158/634 is

GCF of Numerators i.e. for 75,155,158 is 1

LCM of denominators i.e. for 352,776,634 is 10823648.

Thus, GCF of Fractions is 1/10823648.Finally, GCF of Fractions for 75/352, 155/776, 158/634 is 1/10823648.