Greatest Common Factor of 74/355, 316/422, 135/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 74/355, 316/422, 135/105

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 74/355,316/422,135/105

Given fractions are 74/355,316/422,135/105

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 74,316,135

Greatest Common Factor of Numerators i.e. GCF of 74,316,135 is 1 .

LCM of Denominators means LCM of 355,422,105 as per the given fractions.

LCM of 355,422,105 is 3146010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 74,316,135

GCF of Fractions 74/355,316/422,135/105 is 1/3146010

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

Greatest Common Factor of 74,316,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,316,135 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 74,316,135 . The biggest common factor number is the GCF number.
So the greatest common factor 74,316,135 is 1.

Lets's calculate LCM of 355,422,105

5 355, 422, 105
71, 422, 21

∴ So the LCM of the given numbers is 5 x 71 x 422 x 21 = 3146010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3146010

Therefore, the GCF of Fractions 74/355,316/422,135/105 is 1/3146010

Least Common Multiple of 355,422,105 with GCF Formula

Least Common Multiple of 355,422,105 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 355,422,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,422,105) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(355,422,105) x common factors =1 x 5 = 5

LCM(355,422,105) = ( 355 × 422 × 105 ) / 5

LCM(355,422,105) = 15730050 / 5

LCM(355,422,105) = 3146010


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 74/355, 316/422, 135/105

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 74/355, 316/422, 135/105?

Answer: GCF of Numerators as per given numbers 74/355, 316/422, 135/105 is

GCF of Numerators i.e. for 74,316,135 is 1

LCM of denominators i.e. for 355,422,105 is 3146010.

Thus, GCF of Fractions is 1/3146010.Finally, GCF of Fractions for 74/355, 316/422, 135/105 is 1/3146010.