Greatest Common Factor of 36/77, 99/38, 214/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/77, 99/38, 214/24

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 36/77,99/38,214/24

Given fractions are 36/77,99/38,214/24

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 36,99,214

Greatest Common Factor of Numerators i.e. GCF of 36,99,214 is 1 .

LCM of Denominators means LCM of 77,38,24 as per the given fractions.

LCM of 77,38,24 is 35112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,99,214

GCF of Fractions 36/77,99/38,214/24 is 1/35112

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

Greatest Common Factor of 36,99,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,99,214 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 36,99,214 . The biggest common factor number is the GCF number.
So the greatest common factor 36,99,214 is 1.

Lets's calculate LCM of 77,38,24

2 77, 38, 24
77, 19, 12

∴ So the LCM of the given numbers is 2 x 77 x 19 x 12 = 35112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35112

Therefore, the GCF of Fractions 36/77,99/38,214/24 is 1/35112

Least Common Multiple of 77,38,24 with GCF Formula

Least Common Multiple of 77,38,24 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 77,38,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,38,24) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(77,38,24) x common factors =1 x 2 = 2

LCM(77,38,24) = ( 77 × 38 × 24 ) / 2

LCM(77,38,24) = 70224 / 2

LCM(77,38,24) = 35112


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 36/77, 99/38, 214/24

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 36/77, 99/38, 214/24?

Answer: GCF of Numerators as per given numbers 36/77, 99/38, 214/24 is

GCF of Numerators i.e. for 36,99,214 is 1

LCM of denominators i.e. for 77,38,24 is 35112.

Thus, GCF of Fractions is 1/35112.Finally, GCF of Fractions for 36/77, 99/38, 214/24 is 1/35112.