Greatest Common Factor of 3575/74, 4406/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3575/74, 4406/150

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 3575/74,4406/150

Given fractions are 3575/74,4406/150

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 3575,4406

Greatest Common Factor of Numerators i.e. GCF of 3575,4406 is 1 .

LCM of Denominators means LCM of 74,150 as per the given fractions.

LCM of 74,150 is 5550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3575,4406

GCF of Fractions 3575/74,4406/150 is 1/5550

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

Greatest Common Factor of 3575,4406 By Matching Biggest Common Factor Method

Greatest Common Factor of 3575,4406 By Matching Biggest Common Factor Method

Factors of 3575

List of positive integer factors of 3575 that divides 3575 without a remainder.

1,5,11,13,25,55,65,143,275,325,715,3575

Factors of 4406

List of positive integer factors of 4406 that divides 4406 without a remainder.

1,2,2203,4406

Greatest Common Factor

We found the factors 3575,4406 . The biggest common factor number is the GCF number.
So the greatest common factor 3575,4406 is 1.

Lets's calculate LCM of 74,150

2 74, 150
37, 75

∴ So the LCM of the given numbers is 2 x 37 x 75 = 5550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5550

Therefore, the GCF of Fractions 3575/74,4406/150 is 1/5550

Least Common Multiple of 74,150 with GCF Formula

Least Common Multiple of 74,150 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 74,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,150) = 2

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

GCF(74,150) x common factors =2 x 1 = 2

LCM(74,150) = ( 74 × 150 ) / 2

LCM(74,150) = 11100 / 2

LCM(74,150) = 5550


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 3575/74, 4406/150

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 3575/74, 4406/150?

Answer: GCF of Numerators as per given numbers 3575/74, 4406/150 is

GCF of Numerators i.e. for 3575,4406 is 1

LCM of denominators i.e. for 74,150 is 5550.

Thus, GCF of Fractions is 1/5550.Finally, GCF of Fractions for 3575/74, 4406/150 is 1/5550.