Greatest Common Factor of 709/72, 159/88, 296/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 709/72, 159/88, 296/402

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 709/72,159/88,296/402

Given fractions are 709/72,159/88,296/402

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 709,159,296

Greatest Common Factor of Numerators i.e. GCF of 709,159,296 is 1 .

LCM of Denominators means LCM of 72,88,402 as per the given fractions.

LCM of 72,88,402 is 53064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 709,159,296

GCF of Fractions 709/72,159/88,296/402 is 1/53064

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

Greatest Common Factor of 709,159,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,159,296 By Matching Biggest Common Factor Method

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 709,159,296 . The biggest common factor number is the GCF number.
So the greatest common factor 709,159,296 is 1.

Lets's calculate LCM of 72,88,402

2 72, 88, 402
2 36, 44, 201
2 18, 22, 201
3 9, 11, 201
3, 11, 67

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 11 x 67 = 53064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53064

Therefore, the GCF of Fractions 709/72,159/88,296/402 is 1/53064

Least Common Multiple of 72,88,402 with GCF Formula

Least Common Multiple of 72,88,402 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 72,88,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,88,402) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(72,88,402) x common factors =2 x 24 = 48

LCM(72,88,402) = ( 72 × 88 × 402 ) / 48

LCM(72,88,402) = 2547072 / 48

LCM(72,88,402) = 53064


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 709/72, 159/88, 296/402

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 709/72, 159/88, 296/402?

Answer: GCF of Numerators as per given numbers 709/72, 159/88, 296/402 is

GCF of Numerators i.e. for 709,159,296 is 1

LCM of denominators i.e. for 72,88,402 is 53064.

Thus, GCF of Fractions is 1/53064.Finally, GCF of Fractions for 709/72, 159/88, 296/402 is 1/53064.