Greatest Common Factor of 35/74, 34/22, 13/67, 88/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/74, 34/22, 13/67, 88/284

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 35/74,34/22,13/67,88/284

Given fractions are 35/74,34/22,13/67,88/284

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 35,34,13,88

Greatest Common Factor of Numerators i.e. GCF of 35,34,13,88 is 1 .

LCM of Denominators means LCM of 74,22,67,284 as per the given fractions.

LCM of 74,22,67,284 is 7744396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,34,13,88

GCF of Fractions 35/74,34/22,13/67,88/284 is 1/7744396

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

Greatest Common Factor of 35,34,13,88 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,34,13,88 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Greatest Common Factor

We found the factors 35,34,13,88 . The biggest common factor number is the GCF number.
So the greatest common factor 35,34,13,88 is 1.

Lets's calculate LCM of 74,22,67,284

2 74, 22, 67, 284
37, 11, 67, 142

∴ So the LCM of the given numbers is 2 x 37 x 11 x 67 x 142 = 7744396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7744396

Therefore, the GCF of Fractions 35/74,34/22,13/67,88/284 is 1/7744396

Least Common Multiple of 74,22,67,284 with GCF Formula

Least Common Multiple of 74,22,67,284 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 74,22,67,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,22,67,284) = 1

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

GCF(74,22,67,284) x common factors =1 x 4 = 4

LCM(74,22,67,284) = ( 74 × 22 × 67 × 284 ) / 4

LCM(74,22,67,284) = 30977584 / 4

LCM(74,22,67,284) = 7744396


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 35/74, 34/22, 13/67, 88/284

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 35/74, 34/22, 13/67, 88/284?

Answer: GCF of Numerators as per given numbers 35/74, 34/22, 13/67, 88/284 is

GCF of Numerators i.e. for 35,34,13,88 is 1

LCM of denominators i.e. for 74,22,67,284 is 7744396.

Thus, GCF of Fractions is 1/7744396.Finally, GCF of Fractions for 35/74, 34/22, 13/67, 88/284 is 1/7744396.