Greatest Common Factor of 39/86, 27/53, 207/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/86, 27/53, 207/402

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 39/86,27/53,207/402

Given fractions are 39/86,27/53,207/402

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 39,27,207

Greatest Common Factor of Numerators i.e. GCF of 39,27,207 is 3 .

LCM of Denominators means LCM of 86,53,402 as per the given fractions.

LCM of 86,53,402 is 916158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,27,207

GCF of Fractions 39/86,27/53,207/402 is 3/916158

3 39, 27, 207
13, 9, 69

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

Greatest Common Factor of 39,27,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,27,207 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 27

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

1,3,9,27

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 39,27,207 . The biggest common factor number is the GCF number.
So the greatest common factor 39,27,207 is 3.

Lets's calculate LCM of 86,53,402

2 86, 53, 402
43, 53, 201

∴ So the LCM of the given numbers is 2 x 43 x 53 x 201 = 916158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/916158

Therefore, the GCF of Fractions 39/86,27/53,207/402 is 3/916158

Least Common Multiple of 86,53,402 with GCF Formula

Least Common Multiple of 86,53,402 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 86,53,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,53,402) = 1

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

GCF(86,53,402) x common factors =1 x 2 = 2

LCM(86,53,402) = ( 86 × 53 × 402 ) / 2

LCM(86,53,402) = 1832316 / 2

LCM(86,53,402) = 916158


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 39/86, 27/53, 207/402

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 39/86, 27/53, 207/402?

Answer: GCF of Numerators as per given numbers 39/86, 27/53, 207/402 is

GCF of Numerators i.e. for 39,27,207 is 3

LCM of denominators i.e. for 86,53,402 is 916158.

Thus, GCF of Fractions is 3/916158.Finally, GCF of Fractions for 39/86, 27/53, 207/402 is 3/916158.