Greatest Common Factor of 4172/150, 5668/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4172/150, 5668/595

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 4172/150,5668/595

Given fractions are 4172/150,5668/595

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 4172,5668

Greatest Common Factor of Numerators i.e. GCF of 4172,5668 is 4 .

LCM of Denominators means LCM of 150,595 as per the given fractions.

LCM of 150,595 is 17850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4172,5668

GCF of Fractions 4172/150,5668/595 is 4/17850

2 4172, 5668
2 2086, 2834
1043, 1417

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4172,5668 By Matching Biggest Common Factor Method

Greatest Common Factor of 4172,5668 By Matching Biggest Common Factor Method

Factors of 4172

List of positive integer factors of 4172 that divides 4172 without a remainder.

1,2,4,7,14,28,149,298,596,1043,2086,4172

Factors of 5668

List of positive integer factors of 5668 that divides 5668 without a remainder.

1,2,4,13,26,52,109,218,436,1417,2834,5668

Greatest Common Factor

We found the factors 4172,5668 . The biggest common factor number is the GCF number.
So the greatest common factor 4172,5668 is 4.

Lets's calculate LCM of 150,595

5 150, 595
30, 119

∴ So the LCM of the given numbers is 5 x 30 x 119 = 17850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17850

Therefore, the GCF of Fractions 4172/150,5668/595 is 4/17850

Least Common Multiple of 150,595 with GCF Formula

Least Common Multiple of 150,595 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 150,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,595) = 5

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

GCF(150,595) x common factors =5 x 1 = 5

LCM(150,595) = ( 150 × 595 ) / 5

LCM(150,595) = 89250 / 5

LCM(150,595) = 17850


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 4172/150, 5668/595

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 4172/150, 5668/595?

Answer: GCF of Numerators as per given numbers 4172/150, 5668/595 is

GCF of Numerators i.e. for 4172,5668 is 4

LCM of denominators i.e. for 150,595 is 17850.

Thus, GCF of Fractions is 4/17850.Finally, GCF of Fractions for 4172/150, 5668/595 is 4/17850.