Greatest Common Factor of 3966/957, 4273/8357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3966/957, 4273/8357

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 3966/957,4273/8357

Given fractions are 3966/957,4273/8357

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 3966,4273

Greatest Common Factor of Numerators i.e. GCF of 3966,4273 is 1 .

LCM of Denominators means LCM of 957,8357 as per the given fractions.

LCM of 957,8357 is 7997649 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3966,4273

GCF of Fractions 3966/957,4273/8357 is 1/7997649

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

Greatest Common Factor of 3966,4273 By Matching Biggest Common Factor Method

Greatest Common Factor of 3966,4273 By Matching Biggest Common Factor Method

Factors of 3966

List of positive integer factors of 3966 that divides 3966 without a remainder.

1,2,3,6,661,1322,1983,3966

Factors of 4273

List of positive integer factors of 4273 that divides 4273 without a remainder.

1,4273

Greatest Common Factor

We found the factors 3966,4273 . The biggest common factor number is the GCF number.
So the greatest common factor 3966,4273 is 1.

Lets's calculate LCM of 957,8357

Given numbers has no common factors except 1. So, there LCM is their product i.e 7997649

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7997649

Therefore, the GCF of Fractions 3966/957,4273/8357 is 1/7997649

Least Common Multiple of 957,8357 with GCF Formula

Least Common Multiple of 957,8357 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 957,8357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,8357) = 1

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

GCF(957,8357) x common factors =1 x 1 = 1

LCM(957,8357) = ( 957 × 8357 ) / 1

LCM(957,8357) = 7997649 / 1

LCM(957,8357) = 7997649


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 3966/957, 4273/8357

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 3966/957, 4273/8357?

Answer: GCF of Numerators as per given numbers 3966/957, 4273/8357 is

GCF of Numerators i.e. for 3966,4273 is 1

LCM of denominators i.e. for 957,8357 is 7997649.

Thus, GCF of Fractions is 1/7997649.Finally, GCF of Fractions for 3966/957, 4273/8357 is 1/7997649.