Greatest Common Factor of 88/74, 326/76, 407/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/74, 326/76, 407/128

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 88/74,326/76,407/128

Given fractions are 88/74,326/76,407/128

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 88,326,407

Greatest Common Factor of Numerators i.e. GCF of 88,326,407 is 1 .

LCM of Denominators means LCM of 74,76,128 as per the given fractions.

LCM of 74,76,128 is 89984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,326,407

GCF of Fractions 88/74,326/76,407/128 is 1/89984

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

Greatest Common Factor of 88,326,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,326,407 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 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 88,326,407 . The biggest common factor number is the GCF number.
So the greatest common factor 88,326,407 is 1.

Lets's calculate LCM of 74,76,128

2 74, 76, 128
2 37, 38, 64
37, 19, 32

∴ So the LCM of the given numbers is 2 x 2 x 37 x 19 x 32 = 89984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89984

Therefore, the GCF of Fractions 88/74,326/76,407/128 is 1/89984

Least Common Multiple of 74,76,128 with GCF Formula

Least Common Multiple of 74,76,128 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 74,76,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,76,128) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(74,76,128) x common factors =2 x 4 = 8

LCM(74,76,128) = ( 74 × 76 × 128 ) / 8

LCM(74,76,128) = 719872 / 8

LCM(74,76,128) = 89984


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 88/74, 326/76, 407/128

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 88/74, 326/76, 407/128?

Answer: GCF of Numerators as per given numbers 88/74, 326/76, 407/128 is

GCF of Numerators i.e. for 88,326,407 is 1

LCM of denominators i.e. for 74,76,128 is 89984.

Thus, GCF of Fractions is 1/89984.Finally, GCF of Fractions for 88/74, 326/76, 407/128 is 1/89984.