Greatest Common Factor of 178/58, 829/54, 695/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 178/58, 829/54, 695/720

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 178/58,829/54,695/720

Given fractions are 178/58,829/54,695/720

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 178,829,695

Greatest Common Factor of Numerators i.e. GCF of 178,829,695 is 1 .

LCM of Denominators means LCM of 58,54,720 as per the given fractions.

LCM of 58,54,720 is 62640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 178,829,695

GCF of Fractions 178/58,829/54,695/720 is 1/62640

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

Greatest Common Factor of 178,829,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,829,695 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 178,829,695 . The biggest common factor number is the GCF number.
So the greatest common factor 178,829,695 is 1.

Lets's calculate LCM of 58,54,720

2 58, 54, 720
3 29, 27, 360
3 29, 9, 120
29, 3, 40

∴ So the LCM of the given numbers is 2 x 3 x 3 x 29 x 3 x 40 = 62640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62640

Therefore, the GCF of Fractions 178/58,829/54,695/720 is 1/62640

Least Common Multiple of 58,54,720 with GCF Formula

Least Common Multiple of 58,54,720 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 58,54,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,54,720) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(58,54,720) x common factors =2 x 18 = 36

LCM(58,54,720) = ( 58 × 54 × 720 ) / 36

LCM(58,54,720) = 2255040 / 36

LCM(58,54,720) = 62640


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 178/58, 829/54, 695/720

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 178/58, 829/54, 695/720?

Answer: GCF of Numerators as per given numbers 178/58, 829/54, 695/720 is

GCF of Numerators i.e. for 178,829,695 is 1

LCM of denominators i.e. for 58,54,720 is 62640.

Thus, GCF of Fractions is 1/62640.Finally, GCF of Fractions for 178/58, 829/54, 695/720 is 1/62640.