Greatest Common Factor of 167/63, 741/38, 205/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 167/63, 741/38, 205/501

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 167/63,741/38,205/501

Given fractions are 167/63,741/38,205/501

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 167,741,205

Greatest Common Factor of Numerators i.e. GCF of 167,741,205 is 1 .

LCM of Denominators means LCM of 63,38,501 as per the given fractions.

LCM of 63,38,501 is 399798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 167,741,205

GCF of Fractions 167/63,741/38,205/501 is 1/399798

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

Greatest Common Factor of 167,741,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,741,205 By Matching Biggest Common Factor Method

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

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 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 167,741,205 . The biggest common factor number is the GCF number.
So the greatest common factor 167,741,205 is 1.

Lets's calculate LCM of 63,38,501

3 63, 38, 501
21, 38, 167

∴ So the LCM of the given numbers is 3 x 21 x 38 x 167 = 399798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/399798

Therefore, the GCF of Fractions 167/63,741/38,205/501 is 1/399798

Least Common Multiple of 63,38,501 with GCF Formula

Least Common Multiple of 63,38,501 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 63,38,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,38,501) = 1

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

GCF(63,38,501) x common factors =1 x 3 = 3

LCM(63,38,501) = ( 63 × 38 × 501 ) / 3

LCM(63,38,501) = 1199394 / 3

LCM(63,38,501) = 399798


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 167/63, 741/38, 205/501

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 167/63, 741/38, 205/501?

Answer: GCF of Numerators as per given numbers 167/63, 741/38, 205/501 is

GCF of Numerators i.e. for 167,741,205 is 1

LCM of denominators i.e. for 63,38,501 is 399798.

Thus, GCF of Fractions is 1/399798.Finally, GCF of Fractions for 167/63, 741/38, 205/501 is 1/399798.