Greatest Common Factor of 58/150, 4205/3532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/150, 4205/3532

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 58/150,4205/3532

Given fractions are 58/150,4205/3532

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 58,4205

Greatest Common Factor of Numerators i.e. GCF of 58,4205 is 29 .

LCM of Denominators means LCM of 150,3532 as per the given fractions.

LCM of 150,3532 is 264900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,4205

GCF of Fractions 58/150,4205/3532 is 29/264900

29 58, 4205
2, 145

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 58,4205 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,4205 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 4205

List of positive integer factors of 4205 that divides 4205 without a remainder.

1,5,29,145,841,4205

Greatest Common Factor

We found the factors 58,4205 . The biggest common factor number is the GCF number.
So the greatest common factor 58,4205 is 29.

Lets's calculate LCM of 150,3532

2 150, 3532
75, 1766

∴ So the LCM of the given numbers is 2 x 75 x 1766 = 264900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/264900

Therefore, the GCF of Fractions 58/150,4205/3532 is 29/264900

Least Common Multiple of 150,3532 with GCF Formula

Least Common Multiple of 150,3532 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 150,3532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,3532) = 2

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

GCF(150,3532) x common factors =2 x 1 = 2

LCM(150,3532) = ( 150 × 3532 ) / 2

LCM(150,3532) = 529800 / 2

LCM(150,3532) = 264900


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 58/150, 4205/3532

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 58/150, 4205/3532?

Answer: GCF of Numerators as per given numbers 58/150, 4205/3532 is

GCF of Numerators i.e. for 58,4205 is 29

LCM of denominators i.e. for 150,3532 is 264900.

Thus, GCF of Fractions is 29/264900.Finally, GCF of Fractions for 58/150, 4205/3532 is 29/264900.