Greatest Common Factor of 177/686, 4779/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 177/686, 4779/414

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 177/686,4779/414

Given fractions are 177/686,4779/414

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 177,4779

Greatest Common Factor of Numerators i.e. GCF of 177,4779 is 177 .

LCM of Denominators means LCM of 686,414 as per the given fractions.

LCM of 686,414 is 142002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 177,4779

GCF of Fractions 177/686,4779/414 is 177/142002

3 177, 4779
59 59, 1593
1, 27

∴ So the GCF of the given numbers is 3 x 59 = 177

Greatest Common Factor of 177,4779 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,4779 By Matching Biggest Common Factor Method

Factors of 177

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

1,3,59,177

Factors of 4779

List of positive integer factors of 4779 that divides 4779 without a remainder.

1,3,9,27,59,81,177,531,1593,4779

Greatest Common Factor

We found the factors 177,4779 . The biggest common factor number is the GCF number.
So the greatest common factor 177,4779 is 177.

Lets's calculate LCM of 686,414

2 686, 414
343, 207

∴ So the LCM of the given numbers is 2 x 343 x 207 = 142002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 177/142002

Therefore, the GCF of Fractions 177/686,4779/414 is 177/142002

Least Common Multiple of 686,414 with GCF Formula

Least Common Multiple of 686,414 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 686,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,414) = 2

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

GCF(686,414) x common factors =2 x 1 = 2

LCM(686,414) = ( 686 × 414 ) / 2

LCM(686,414) = 284004 / 2

LCM(686,414) = 142002


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 177/686, 4779/414

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 177/686, 4779/414?

Answer: GCF of Numerators as per given numbers 177/686, 4779/414 is

GCF of Numerators i.e. for 177,4779 is 177

LCM of denominators i.e. for 686,414 is 142002.

Thus, GCF of Fractions is 177/142002.Finally, GCF of Fractions for 177/686, 4779/414 is 177/142002.