Greatest Common Factor of 88/35, 56/66, 74/82, 224/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/35, 56/66, 74/82, 224/12

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 88/35,56/66,74/82,224/12

Given fractions are 88/35,56/66,74/82,224/12

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 88,56,74,224

Greatest Common Factor of Numerators i.e. GCF of 88,56,74,224 is 2 .

LCM of Denominators means LCM of 35,66,82,12 as per the given fractions.

LCM of 35,66,82,12 is 189420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,56,74,224

GCF of Fractions 88/35,56/66,74/82,224/12 is 2/189420

2 88, 56, 74, 224
44, 28, 37, 112

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

Greatest Common Factor of 88,56,74,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,56,74,224 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 88,56,74,224 . The biggest common factor number is the GCF number.
So the greatest common factor 88,56,74,224 is 2.

Lets's calculate LCM of 35,66,82,12

2 35, 66, 82, 12
3 35, 33, 41, 6
35, 11, 41, 2

∴ So the LCM of the given numbers is 2 x 3 x 35 x 11 x 41 x 2 = 189420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/189420

Therefore, the GCF of Fractions 88/35,56/66,74/82,224/12 is 2/189420

Least Common Multiple of 35,66,82,12 with GCF Formula

Least Common Multiple of 35,66,82,12 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 35,66,82,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,66,82,12) = 1

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

GCF(35,66,82,12) x common factors =1 x 12 = 12

LCM(35,66,82,12) = ( 35 × 66 × 82 × 12 ) / 12

LCM(35,66,82,12) = 2273040 / 12

LCM(35,66,82,12) = 189420


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 88/35, 56/66, 74/82, 224/12

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 88/35, 56/66, 74/82, 224/12?

Answer: GCF of Numerators as per given numbers 88/35, 56/66, 74/82, 224/12 is

GCF of Numerators i.e. for 88,56,74,224 is 2

LCM of denominators i.e. for 35,66,82,12 is 189420.

Thus, GCF of Fractions is 2/189420.Finally, GCF of Fractions for 88/35, 56/66, 74/82, 224/12 is 2/189420.