Greatest Common Factor of 69/79, 178/99, 177/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/79, 178/99, 177/539

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 69/79,178/99,177/539

Given fractions are 69/79,178/99,177/539

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 69,178,177

Greatest Common Factor of Numerators i.e. GCF of 69,178,177 is 1 .

LCM of Denominators means LCM of 79,99,539 as per the given fractions.

LCM of 79,99,539 is 383229 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,178,177

GCF of Fractions 69/79,178/99,177/539 is 1/383229

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

Greatest Common Factor of 69,178,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,178,177 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 178

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

1,2,89,178

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 69,178,177 . The biggest common factor number is the GCF number.
So the greatest common factor 69,178,177 is 1.

Lets's calculate LCM of 79,99,539

11 79, 99, 539
79, 9, 49

∴ So the LCM of the given numbers is 11 x 79 x 9 x 49 = 383229

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/383229

Therefore, the GCF of Fractions 69/79,178/99,177/539 is 1/383229

Least Common Multiple of 79,99,539 with GCF Formula

Least Common Multiple of 79,99,539 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 79,99,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,99,539) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(79,99,539) x common factors =1 x 11 = 11

LCM(79,99,539) = ( 79 × 99 × 539 ) / 11

LCM(79,99,539) = 4215519 / 11

LCM(79,99,539) = 383229


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 69/79, 178/99, 177/539

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 69/79, 178/99, 177/539?

Answer: GCF of Numerators as per given numbers 69/79, 178/99, 177/539 is

GCF of Numerators i.e. for 69,178,177 is 1

LCM of denominators i.e. for 79,99,539 is 383229.

Thus, GCF of Fractions is 1/383229.Finally, GCF of Fractions for 69/79, 178/99, 177/539 is 1/383229.