Greatest Common Factor of 686/77, 178/5579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/77, 178/5579

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 686/77,178/5579

Given fractions are 686/77,178/5579

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 686,178

Greatest Common Factor of Numerators i.e. GCF of 686,178 is 2 .

LCM of Denominators means LCM of 77,5579 as per the given fractions.

LCM of 77,5579 is 61369 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,178

GCF of Fractions 686/77,178/5579 is 2/61369

2 686, 178
343, 89

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

Greatest Common Factor of 686,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,178 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 178

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

1,2,89,178

Greatest Common Factor

We found the factors 686,178 . The biggest common factor number is the GCF number.
So the greatest common factor 686,178 is 2.

Lets's calculate LCM of 77,5579

7 77, 5579
11, 797

∴ So the LCM of the given numbers is 7 x 11 x 797 = 61369

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61369

Therefore, the GCF of Fractions 686/77,178/5579 is 2/61369

Least Common Multiple of 77,5579 with GCF Formula

Least Common Multiple of 77,5579 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 77,5579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,5579) = 7

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

GCF(77,5579) x common factors =7 x 1 = 7

LCM(77,5579) = ( 77 × 5579 ) / 7

LCM(77,5579) = 429583 / 7

LCM(77,5579) = 61369


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 686/77, 178/5579

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 686/77, 178/5579?

Answer: GCF of Numerators as per given numbers 686/77, 178/5579 is

GCF of Numerators i.e. for 686,178 is 2

LCM of denominators i.e. for 77,5579 is 61369.

Thus, GCF of Fractions is 2/61369.Finally, GCF of Fractions for 686/77, 178/5579 is 2/61369.