Greatest Common Factor of 414/681, 956/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 414/681, 956/679

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 414/681,956/679

Given fractions are 414/681,956/679

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 414,956

Greatest Common Factor of Numerators i.e. GCF of 414,956 is 2 .

LCM of Denominators means LCM of 681,679 as per the given fractions.

LCM of 681,679 is 462399 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 414,956

GCF of Fractions 414/681,956/679 is 2/462399

2 414, 956
207, 478

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

Greatest Common Factor of 414,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,956 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 414,956 . The biggest common factor number is the GCF number.
So the greatest common factor 414,956 is 2.

Lets's calculate LCM of 681,679

Given numbers has no common factors except 1. So, there LCM is their product i.e 462399

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/462399

Therefore, the GCF of Fractions 414/681,956/679 is 2/462399

Least Common Multiple of 681,679 with GCF Formula

Least Common Multiple of 681,679 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 681,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,679) = 1

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

GCF(681,679) x common factors =1 x 1 = 1

LCM(681,679) = ( 681 × 679 ) / 1

LCM(681,679) = 462399 / 1

LCM(681,679) = 462399


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 414/681, 956/679

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 414/681, 956/679?

Answer: GCF of Numerators as per given numbers 414/681, 956/679 is

GCF of Numerators i.e. for 414,956 is 2

LCM of denominators i.e. for 681,679 is 462399.

Thus, GCF of Fractions is 2/462399.Finally, GCF of Fractions for 414/681, 956/679 is 2/462399.