Greatest Common Factor of 162/37, 261/14, 510/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 162/37, 261/14, 510/971

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 162/37,261/14,510/971

Given fractions are 162/37,261/14,510/971

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 162,261,510

Greatest Common Factor of Numerators i.e. GCF of 162,261,510 is 3 .

LCM of Denominators means LCM of 37,14,971 as per the given fractions.

LCM of 37,14,971 is 502978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 162,261,510

GCF of Fractions 162/37,261/14,510/971 is 3/502978

3 162, 261, 510
54, 87, 170

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

Greatest Common Factor of 162,261,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,261,510 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 162,261,510 . The biggest common factor number is the GCF number.
So the greatest common factor 162,261,510 is 3.

Lets's calculate LCM of 37,14,971

Given numbers has no common factors except 1. So, there LCM is their product i.e 502978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/502978

Therefore, the GCF of Fractions 162/37,261/14,510/971 is 3/502978

Least Common Multiple of 37,14,971 with GCF Formula

Least Common Multiple of 37,14,971 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 37,14,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,14,971) = 1

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

GCF(37,14,971) x common factors =1 x 1 = 1

LCM(37,14,971) = ( 37 × 14 × 971 ) / 1

LCM(37,14,971) = 502978 / 1

LCM(37,14,971) = 502978


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 162/37, 261/14, 510/971

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 162/37, 261/14, 510/971?

Answer: GCF of Numerators as per given numbers 162/37, 261/14, 510/971 is

GCF of Numerators i.e. for 162,261,510 is 3

LCM of denominators i.e. for 37,14,971 is 502978.

Thus, GCF of Fractions is 3/502978.Finally, GCF of Fractions for 162/37, 261/14, 510/971 is 3/502978.