Greatest Common Factor of 852/30, 741/37, 537/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 852/30, 741/37, 537/201

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 852/30,741/37,537/201

Given fractions are 852/30,741/37,537/201

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 852,741,537

Greatest Common Factor of Numerators i.e. GCF of 852,741,537 is 3 .

LCM of Denominators means LCM of 30,37,201 as per the given fractions.

LCM of 30,37,201 is 74370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 852,741,537

GCF of Fractions 852/30,741/37,537/201 is 3/74370

3 852, 741, 537
284, 247, 179

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 852,741,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,741,537 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 852,741,537 . The biggest common factor number is the GCF number.
So the greatest common factor 852,741,537 is 3.

Lets's calculate LCM of 30,37,201

3 30, 37, 201
10, 37, 67

∴ So the LCM of the given numbers is 3 x 10 x 37 x 67 = 74370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/74370

Therefore, the GCF of Fractions 852/30,741/37,537/201 is 3/74370

Least Common Multiple of 30,37,201 with GCF Formula

Least Common Multiple of 30,37,201 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 30,37,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,37,201) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(30,37,201) x common factors =1 x 3 = 3

LCM(30,37,201) = ( 30 × 37 × 201 ) / 3

LCM(30,37,201) = 223110 / 3

LCM(30,37,201) = 74370


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 852/30, 741/37, 537/201

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 852/30, 741/37, 537/201?

Answer: GCF of Numerators as per given numbers 852/30, 741/37, 537/201 is

GCF of Numerators i.e. for 852,741,537 is 3

LCM of denominators i.e. for 30,37,201 is 74370.

Thus, GCF of Fractions is 3/74370.Finally, GCF of Fractions for 852/30, 741/37, 537/201 is 3/74370.