Greatest Common Factor of 356/71, 684/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 356/71, 684/829

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 356/71,684/829

Given fractions are 356/71,684/829

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 356,684

Greatest Common Factor of Numerators i.e. GCF of 356,684 is 4 .

LCM of Denominators means LCM of 71,829 as per the given fractions.

LCM of 71,829 is 58859 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 356,684

GCF of Fractions 356/71,684/829 is 4/58859

2 356, 684
2 178, 342
89, 171

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 356,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,684 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 356,684 . The biggest common factor number is the GCF number.
So the greatest common factor 356,684 is 4.

Lets's calculate LCM of 71,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 58859

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/58859

Therefore, the GCF of Fractions 356/71,684/829 is 4/58859

Least Common Multiple of 71,829 with GCF Formula

Least Common Multiple of 71,829 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 71,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,829) = 1

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

GCF(71,829) x common factors =1 x 1 = 1

LCM(71,829) = ( 71 × 829 ) / 1

LCM(71,829) = 58859 / 1

LCM(71,829) = 58859


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 356/71, 684/829

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 356/71, 684/829?

Answer: GCF of Numerators as per given numbers 356/71, 684/829 is

GCF of Numerators i.e. for 356,684 is 4

LCM of denominators i.e. for 71,829 is 58859.

Thus, GCF of Fractions is 4/58859.Finally, GCF of Fractions for 356/71, 684/829 is 4/58859.