Greatest Common Factor of 88/29, 89/442, 744/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 88/29, 89/442, 744/282

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 88/29,89/442,744/282

Given fractions are 88/29,89/442,744/282

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 88,89,744

Greatest Common Factor of Numerators i.e. GCF of 88,89,744 is 1 .

LCM of Denominators means LCM of 29,442,282 as per the given fractions.

LCM of 29,442,282 is 1807338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,89,744

GCF of Fractions 88/29,89/442,744/282 is 1/1807338

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

Greatest Common Factor of 88,89,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,89,744 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 89

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

1,89

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 88,89,744 . The biggest common factor number is the GCF number.
So the greatest common factor 88,89,744 is 1.


Lets's calculate LCM of 29,442,282

2 29, 442, 282
29, 221, 141

∴ So the LCM of the given numbers is 2 x 29 x 221 x 141 = 1807338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1807338

Therefore, the GCF of Fractions 88/29,89/442,744/282 is 1/1807338

Least Common Multiple of 29,442,282 with GCF Formula

Least Common Multiple of 29,442,282 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 29,442,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,442,282) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(29,442,282) x common factors =1 x 2 = 2

LCM(29,442,282) = ( 29 × 442 × 282 ) / 2

LCM(29,442,282) = 3614676 / 2

LCM(29,442,282) = 1807338


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 88/29, 89/442, 744/282

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 88/29, 89/442, 744/282?

Answer: GCF of Numerators as per given numbers 88/29, 89/442, 744/282 is

GCF of Numerators i.e. for 88,89,744 is 1

LCM of denominators i.e. for 29,442,282 is 1807338.

Thus, GCF of Fractions is 1/1807338.Finally, GCF of Fractions for 88/29, 89/442, 744/282 is 1/1807338.