Greatest Common Factor of 87/30, 27/42, 237/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/30, 27/42, 237/202

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 87/30,27/42,237/202

Given fractions are 87/30,27/42,237/202

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 87,27,237

Greatest Common Factor of Numerators i.e. GCF of 87,27,237 is 3 .

LCM of Denominators means LCM of 30,42,202 as per the given fractions.

LCM of 30,42,202 is 21210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,27,237

GCF of Fractions 87/30,27/42,237/202 is 3/21210

3 87, 27, 237
29, 9, 79

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

Greatest Common Factor of 87,27,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,27,237 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 87,27,237 . The biggest common factor number is the GCF number.
So the greatest common factor 87,27,237 is 3.

Lets's calculate LCM of 30,42,202

2 30, 42, 202
3 15, 21, 101
5, 7, 101

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 101 = 21210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/21210

Therefore, the GCF of Fractions 87/30,27/42,237/202 is 3/21210

Least Common Multiple of 30,42,202 with GCF Formula

Least Common Multiple of 30,42,202 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 30,42,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,42,202) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(30,42,202) x common factors =2 x 6 = 12

LCM(30,42,202) = ( 30 × 42 × 202 ) / 12

LCM(30,42,202) = 254520 / 12

LCM(30,42,202) = 21210


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 87/30, 27/42, 237/202

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 87/30, 27/42, 237/202?

Answer: GCF of Numerators as per given numbers 87/30, 27/42, 237/202 is

GCF of Numerators i.e. for 87,27,237 is 3

LCM of denominators i.e. for 30,42,202 is 21210.

Thus, GCF of Fractions is 3/21210.Finally, GCF of Fractions for 87/30, 27/42, 237/202 is 3/21210.