Greatest Common Factor of 86/376, 70/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/376, 70/289

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 86/376,70/289

Given fractions are 86/376,70/289

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 86,70

Greatest Common Factor of Numerators i.e. GCF of 86,70 is 2 .

LCM of Denominators means LCM of 376,289 as per the given fractions.

LCM of 376,289 is 108664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,70

GCF of Fractions 86/376,70/289 is 2/108664

2 86, 70
43, 35

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

Greatest Common Factor of 86,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,70 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Greatest Common Factor

We found the factors 86,70 . The biggest common factor number is the GCF number.
So the greatest common factor 86,70 is 2.

Lets's calculate LCM of 376,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 108664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108664

Therefore, the GCF of Fractions 86/376,70/289 is 2/108664

Least Common Multiple of 376,289 with GCF Formula

Least Common Multiple of 376,289 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 376,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,289) = 1

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

GCF(376,289) x common factors =1 x 1 = 1

LCM(376,289) = ( 376 × 289 ) / 1

LCM(376,289) = 108664 / 1

LCM(376,289) = 108664


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 86/376, 70/289

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 86/376, 70/289?

Answer: GCF of Numerators as per given numbers 86/376, 70/289 is

GCF of Numerators i.e. for 86,70 is 2

LCM of denominators i.e. for 376,289 is 108664.

Thus, GCF of Fractions is 2/108664.Finally, GCF of Fractions for 86/376, 70/289 is 2/108664.