Greatest Common Factor of 966/82, 459/37, 425/70

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 966/82, 459/37, 425/70

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 966/82,459/37,425/70

Given fractions are 966/82,459/37,425/70

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 966,459,425

Greatest Common Factor of Numerators i.e. GCF of 966,459,425 is 1 .

LCM of Denominators means LCM of 82,37,70 as per the given fractions.

LCM of 82,37,70 is 106190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 966,459,425

GCF of Fractions 966/82,459/37,425/70 is 1/106190

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

Greatest Common Factor of 966,459,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,459,425 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 966,459,425 . The biggest common factor number is the GCF number.
So the greatest common factor 966,459,425 is 1.

Lets's calculate LCM of 82,37,70

2 82, 37, 70
41, 37, 35

∴ So the LCM of the given numbers is 2 x 41 x 37 x 35 = 106190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106190

Therefore, the GCF of Fractions 966/82,459/37,425/70 is 1/106190

Least Common Multiple of 82,37,70 with GCF Formula

Least Common Multiple of 82,37,70 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 82,37,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,37,70) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,37,70) x common factors =1 x 2 = 2

LCM(82,37,70) = ( 82 × 37 × 70 ) / 2

LCM(82,37,70) = 212380 / 2

LCM(82,37,70) = 106190


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 966/82, 459/37, 425/70

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 966/82, 459/37, 425/70?

Answer: GCF of Numerators as per given numbers 966/82, 459/37, 425/70 is

GCF of Numerators i.e. for 966,459,425 is 1

LCM of denominators i.e. for 82,37,70 is 106190.

Thus, GCF of Fractions is 1/106190.Finally, GCF of Fractions for 966/82, 459/37, 425/70 is 1/106190.