Greatest Common Factor of 681/696, 978/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/696, 978/992

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 681/696,978/992

Given fractions are 681/696,978/992

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 681,978

Greatest Common Factor of Numerators i.e. GCF of 681,978 is 3 .

LCM of Denominators means LCM of 696,992 as per the given fractions.

LCM of 696,992 is 86304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,978

GCF of Fractions 681/696,978/992 is 3/86304

3 681, 978
227, 326

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 681,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,978 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 681,978 . The biggest common factor number is the GCF number.
So the greatest common factor 681,978 is 3.

Lets's calculate LCM of 696,992

2 696, 992
2 348, 496
2 174, 248
87, 124

∴ So the LCM of the given numbers is 2 x 2 x 2 x 87 x 124 = 86304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/86304

Therefore, the GCF of Fractions 681/696,978/992 is 3/86304

Least Common Multiple of 696,992 with GCF Formula

Least Common Multiple of 696,992 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 696,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,992) = 8

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

GCF(696,992) x common factors =8 x 1 = 8

LCM(696,992) = ( 696 × 992 ) / 8

LCM(696,992) = 690432 / 8

LCM(696,992) = 86304


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 681/696, 978/992

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 681/696, 978/992?

Answer: GCF of Numerators as per given numbers 681/696, 978/992 is

GCF of Numerators i.e. for 681,978 is 3

LCM of denominators i.e. for 696,992 is 86304.

Thus, GCF of Fractions is 3/86304.Finally, GCF of Fractions for 681/696, 978/992 is 3/86304.