Greatest Common Factor of 6/96, 89/25, 70/422, 169/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/96, 89/25, 70/422, 169/402

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 6/96,89/25,70/422,169/402

Given fractions are 6/96,89/25,70/422,169/402

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 6,89,70,169

Greatest Common Factor of Numerators i.e. GCF of 6,89,70,169 is 1 .

LCM of Denominators means LCM of 96,25,422,402 as per the given fractions.

LCM of 96,25,422,402 is 33928800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,89,70,169

GCF of Fractions 6/96,89/25,70/422,169/402 is 1/33928800

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

Greatest Common Factor of 6,89,70,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,89,70,169 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

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 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 6,89,70,169 . The biggest common factor number is the GCF number.
So the greatest common factor 6,89,70,169 is 1.

Lets's calculate LCM of 96,25,422,402

2 96, 25, 422, 402
3 48, 25, 211, 201
16, 25, 211, 67

∴ So the LCM of the given numbers is 2 x 3 x 16 x 25 x 211 x 67 = 33928800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33928800

Therefore, the GCF of Fractions 6/96,89/25,70/422,169/402 is 1/33928800

Least Common Multiple of 96,25,422,402 with GCF Formula

Least Common Multiple of 96,25,422,402 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 96,25,422,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,25,422,402) = 1

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

GCF(96,25,422,402) x common factors =1 x 12 = 12

LCM(96,25,422,402) = ( 96 × 25 × 422 × 402 ) / 12

LCM(96,25,422,402) = 407145600 / 12

LCM(96,25,422,402) = 33928800


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 6/96, 89/25, 70/422, 169/402

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 6/96, 89/25, 70/422, 169/402?

Answer: GCF of Numerators as per given numbers 6/96, 89/25, 70/422, 169/402 is

GCF of Numerators i.e. for 6,89,70,169 is 1

LCM of denominators i.e. for 96,25,422,402 is 33928800.

Thus, GCF of Fractions is 1/33928800.Finally, GCF of Fractions for 6/96, 89/25, 70/422, 169/402 is 1/33928800.