Greatest Common Factor of 951/698, 8086/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 951/698, 8086/738

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 951/698,8086/738

Given fractions are 951/698,8086/738

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 951,8086

Greatest Common Factor of Numerators i.e. GCF of 951,8086 is 1 .

LCM of Denominators means LCM of 698,738 as per the given fractions.

LCM of 698,738 is 257562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 951,8086

GCF of Fractions 951/698,8086/738 is 1/257562

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

Greatest Common Factor of 951,8086 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,8086 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 8086

List of positive integer factors of 8086 that divides 8086 without a remainder.

1,2,13,26,311,622,4043,8086

Greatest Common Factor

We found the factors 951,8086 . The biggest common factor number is the GCF number.
So the greatest common factor 951,8086 is 1.

Lets's calculate LCM of 698,738

2 698, 738
349, 369

∴ So the LCM of the given numbers is 2 x 349 x 369 = 257562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257562

Therefore, the GCF of Fractions 951/698,8086/738 is 1/257562

Least Common Multiple of 698,738 with GCF Formula

Least Common Multiple of 698,738 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 698,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,738) = 2

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

GCF(698,738) x common factors =2 x 1 = 2

LCM(698,738) = ( 698 × 738 ) / 2

LCM(698,738) = 515124 / 2

LCM(698,738) = 257562


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 951/698, 8086/738

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 951/698, 8086/738?

Answer: GCF of Numerators as per given numbers 951/698, 8086/738 is

GCF of Numerators i.e. for 951,8086 is 1

LCM of denominators i.e. for 698,738 is 257562.

Thus, GCF of Fractions is 1/257562.Finally, GCF of Fractions for 951/698, 8086/738 is 1/257562.