Greatest Common Factor of 69/99, 797/51, 100/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/99, 797/51, 100/238

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 69/99,797/51,100/238

Given fractions are 69/99,797/51,100/238

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 69,797,100

Greatest Common Factor of Numerators i.e. GCF of 69,797,100 is 1 .

LCM of Denominators means LCM of 99,51,238 as per the given fractions.

LCM of 99,51,238 is 23562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,797,100

GCF of Fractions 69/99,797/51,100/238 is 1/23562

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

Greatest Common Factor of 69,797,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,797,100 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 69,797,100 . The biggest common factor number is the GCF number.
So the greatest common factor 69,797,100 is 1.

Lets's calculate LCM of 99,51,238

3 99, 51, 238
17 33, 17, 238
33, 1, 14

∴ So the LCM of the given numbers is 3 x 17 x 33 x 1 x 14 = 23562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23562

Therefore, the GCF of Fractions 69/99,797/51,100/238 is 1/23562

Least Common Multiple of 99,51,238 with GCF Formula

Least Common Multiple of 99,51,238 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 99,51,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,51,238) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(99,51,238) x common factors =1 x 51 = 51

LCM(99,51,238) = ( 99 × 51 × 238 ) / 51

LCM(99,51,238) = 1201662 / 51

LCM(99,51,238) = 23562


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 69/99, 797/51, 100/238

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 69/99, 797/51, 100/238?

Answer: GCF of Numerators as per given numbers 69/99, 797/51, 100/238 is

GCF of Numerators i.e. for 69,797,100 is 1

LCM of denominators i.e. for 99,51,238 is 23562.

Thus, GCF of Fractions is 1/23562.Finally, GCF of Fractions for 69/99, 797/51, 100/238 is 1/23562.