Greatest Common Factor of 8/94, 70/12, 66/362, 165/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/94, 70/12, 66/362, 165/981

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 8/94,70/12,66/362,165/981

Given fractions are 8/94,70/12,66/362,165/981

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 8,70,66,165

Greatest Common Factor of Numerators i.e. GCF of 8,70,66,165 is 1 .

LCM of Denominators means LCM of 94,12,362,981 as per the given fractions.

LCM of 94,12,362,981 is 33381468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,70,66,165

GCF of Fractions 8/94,70/12,66/362,165/981 is 1/33381468

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

Greatest Common Factor of 8,70,66,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,70,66,165 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 8,70,66,165 . The biggest common factor number is the GCF number.
So the greatest common factor 8,70,66,165 is 1.

Lets's calculate LCM of 94,12,362,981

2 94, 12, 362, 981
3 47, 6, 181, 981
47, 2, 181, 327

∴ So the LCM of the given numbers is 2 x 3 x 47 x 2 x 181 x 327 = 33381468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33381468

Therefore, the GCF of Fractions 8/94,70/12,66/362,165/981 is 1/33381468

Least Common Multiple of 94,12,362,981 with GCF Formula

Least Common Multiple of 94,12,362,981 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 94,12,362,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,12,362,981) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(94,12,362,981) x common factors =1 x 12 = 12

LCM(94,12,362,981) = ( 94 × 12 × 362 × 981 ) / 12

LCM(94,12,362,981) = 400577616 / 12

LCM(94,12,362,981) = 33381468


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 8/94, 70/12, 66/362, 165/981

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 8/94, 70/12, 66/362, 165/981?

Answer: GCF of Numerators as per given numbers 8/94, 70/12, 66/362, 165/981 is

GCF of Numerators i.e. for 8,70,66,165 is 1

LCM of denominators i.e. for 94,12,362,981 is 33381468.

Thus, GCF of Fractions is 1/33381468.Finally, GCF of Fractions for 8/94, 70/12, 66/362, 165/981 is 1/33381468.