Greatest Common Factor of 70/57, 66/76, 42/96, 14/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/57, 66/76, 42/96, 14/661

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 70/57,66/76,42/96,14/661

Given fractions are 70/57,66/76,42/96,14/661

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 70,66,42,14

Greatest Common Factor of Numerators i.e. GCF of 70,66,42,14 is 2 .

LCM of Denominators means LCM of 57,76,96,661 as per the given fractions.

LCM of 57,76,96,661 is 1205664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,66,42,14

GCF of Fractions 70/57,66/76,42/96,14/661 is 2/1205664

2 70, 66, 42, 14
35, 33, 21, 7

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

Greatest Common Factor of 70,66,42,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,66,42,14 By Matching Biggest Common Factor Method

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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Greatest Common Factor

We found the factors 70,66,42,14 . The biggest common factor number is the GCF number.
So the greatest common factor 70,66,42,14 is 2.

Lets's calculate LCM of 57,76,96,661

2 57, 76, 96, 661
2 57, 38, 48, 661
3 57, 19, 24, 661
19 19, 19, 8, 661
1, 1, 8, 661

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 1 x 8 x 661 = 1205664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1205664

Therefore, the GCF of Fractions 70/57,66/76,42/96,14/661 is 2/1205664

Least Common Multiple of 57,76,96,661 with GCF Formula

Least Common Multiple of 57,76,96,661 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 57,76,96,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,76,96,661) = 1

common factors(in case of two or more numbers have common factors) = 228

GCF(57,76,96,661) x common factors =1 x 228 = 228

LCM(57,76,96,661) = ( 57 × 76 × 96 × 661 ) / 228

LCM(57,76,96,661) = 274891392 / 228

LCM(57,76,96,661) = 1205664


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 70/57, 66/76, 42/96, 14/661

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 70/57, 66/76, 42/96, 14/661?

Answer: GCF of Numerators as per given numbers 70/57, 66/76, 42/96, 14/661 is

GCF of Numerators i.e. for 70,66,42,14 is 2

LCM of denominators i.e. for 57,76,96,661 is 1205664.

Thus, GCF of Fractions is 2/1205664.Finally, GCF of Fractions for 70/57, 66/76, 42/96, 14/661 is 2/1205664.