Greatest Common Factor of 396/961, 517/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/961, 517/117

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 396/961,517/117

Given fractions are 396/961,517/117

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 396,517

Greatest Common Factor of Numerators i.e. GCF of 396,517 is 11 .

LCM of Denominators means LCM of 961,117 as per the given fractions.

LCM of 961,117 is 112437 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,517

GCF of Fractions 396/961,517/117 is 11/112437

11 396, 517
36, 47

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 396,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,517 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 396,517 . The biggest common factor number is the GCF number.
So the greatest common factor 396,517 is 11.

Lets's calculate LCM of 961,117

Given numbers has no common factors except 1. So, there LCM is their product i.e 112437

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/112437

Therefore, the GCF of Fractions 396/961,517/117 is 11/112437

Least Common Multiple of 961,117 with GCF Formula

Least Common Multiple of 961,117 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 961,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,117) = 1

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

GCF(961,117) x common factors =1 x 1 = 1

LCM(961,117) = ( 961 × 117 ) / 1

LCM(961,117) = 112437 / 1

LCM(961,117) = 112437


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 396/961, 517/117

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 396/961, 517/117?

Answer: GCF of Numerators as per given numbers 396/961, 517/117 is

GCF of Numerators i.e. for 396,517 is 11

LCM of denominators i.e. for 961,117 is 112437.

Thus, GCF of Fractions is 11/112437.Finally, GCF of Fractions for 396/961, 517/117 is 11/112437.