Greatest Common Factor of 96/67, 74/74, 458/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/67, 74/74, 458/271

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 96/67,74/74,458/271

Given fractions are 96/67,74/74,458/271

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 96,74,458

Greatest Common Factor of Numerators i.e. GCF of 96,74,458 is 2 .

LCM of Denominators means LCM of 67,74,271 as per the given fractions.

LCM of 67,74,271 is 1343618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,74,458

GCF of Fractions 96/67,74/74,458/271 is 2/1343618

2 96, 74, 458
48, 37, 229

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

Greatest Common Factor of 96,74,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,74,458 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 96,74,458 . The biggest common factor number is the GCF number.
So the greatest common factor 96,74,458 is 2.

Lets's calculate LCM of 67,74,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 1343618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1343618

Therefore, the GCF of Fractions 96/67,74/74,458/271 is 2/1343618

Least Common Multiple of 67,74,271 with GCF Formula

Least Common Multiple of 67,74,271 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 67,74,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,74,271) = 1

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

GCF(67,74,271) x common factors =1 x 1 = 1

LCM(67,74,271) = ( 67 × 74 × 271 ) / 1

LCM(67,74,271) = 1343618 / 1

LCM(67,74,271) = 1343618


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 96/67, 74/74, 458/271

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 96/67, 74/74, 458/271?

Answer: GCF of Numerators as per given numbers 96/67, 74/74, 458/271 is

GCF of Numerators i.e. for 96,74,458 is 2

LCM of denominators i.e. for 67,74,271 is 1343618.

Thus, GCF of Fractions is 2/1343618.Finally, GCF of Fractions for 96/67, 74/74, 458/271 is 2/1343618.