Greatest Common Factor of 88/18, 72/92, 323/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/18, 72/92, 323/271

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 88/18,72/92,323/271

Given fractions are 88/18,72/92,323/271

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 88,72,323

Greatest Common Factor of Numerators i.e. GCF of 88,72,323 is 1 .

LCM of Denominators means LCM of 18,92,271 as per the given fractions.

LCM of 18,92,271 is 224388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,72,323

GCF of Fractions 88/18,72/92,323/271 is 1/224388

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

Greatest Common Factor of 88,72,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,72,323 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 88,72,323 . The biggest common factor number is the GCF number.
So the greatest common factor 88,72,323 is 1.

Lets's calculate LCM of 18,92,271

2 18, 92, 271
9, 46, 271

∴ So the LCM of the given numbers is 2 x 9 x 46 x 271 = 224388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224388

Therefore, the GCF of Fractions 88/18,72/92,323/271 is 1/224388

Least Common Multiple of 18,92,271 with GCF Formula

Least Common Multiple of 18,92,271 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 18,92,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,92,271) = 1

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

GCF(18,92,271) x common factors =1 x 2 = 2

LCM(18,92,271) = ( 18 × 92 × 271 ) / 2

LCM(18,92,271) = 448776 / 2

LCM(18,92,271) = 224388


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 88/18, 72/92, 323/271

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 88/18, 72/92, 323/271?

Answer: GCF of Numerators as per given numbers 88/18, 72/92, 323/271 is

GCF of Numerators i.e. for 88,72,323 is 1

LCM of denominators i.e. for 18,92,271 is 224388.

Thus, GCF of Fractions is 1/224388.Finally, GCF of Fractions for 88/18, 72/92, 323/271 is 1/224388.