Greatest Common Factor of 64/89, 70/74, 696/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 64/89, 70/74, 696/61

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 64/89,70/74,696/61

Given fractions are 64/89,70/74,696/61

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 64,70,696

Greatest Common Factor of Numerators i.e. GCF of 64,70,696 is 2 .

LCM of Denominators means LCM of 89,74,61 as per the given fractions.

LCM of 89,74,61 is 401746 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 64,70,696

GCF of Fractions 64/89,70/74,696/61 is 2/401746

2 64, 70, 696
32, 35, 348

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

Greatest Common Factor of 64,70,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,70,696 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

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 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 64,70,696 . The biggest common factor number is the GCF number.
So the greatest common factor 64,70,696 is 2.


Lets's calculate LCM of 89,74,61

Given numbers has no common factors except 1. So, there LCM is their product i.e 401746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/401746

Therefore, the GCF of Fractions 64/89,70/74,696/61 is 2/401746

Least Common Multiple of 89,74,61 with GCF Formula

Least Common Multiple of 89,74,61 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 89,74,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,74,61) = 1

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

GCF(89,74,61) x common factors =1 x 1 = 1

LCM(89,74,61) = ( 89 × 74 × 61 ) / 1

LCM(89,74,61) = 401746 / 1

LCM(89,74,61) = 401746


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 64/89, 70/74, 696/61

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 64/89, 70/74, 696/61?

Answer: GCF of Numerators as per given numbers 64/89, 70/74, 696/61 is

GCF of Numerators i.e. for 64,70,696 is 2

LCM of denominators i.e. for 89,74,61 is 401746.

Thus, GCF of Fractions is 2/401746.Finally, GCF of Fractions for 64/89, 70/74, 696/61 is 2/401746.