Greatest Common Factor of 51/78, 81/147, 363/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/78, 81/147, 363/763

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 51/78,81/147,363/763

Given fractions are 51/78,81/147,363/763

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 51,81,363

Greatest Common Factor of Numerators i.e. GCF of 51,81,363 is 3 .

LCM of Denominators means LCM of 78,147,763 as per the given fractions.

LCM of 78,147,763 is 416598 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,81,363

GCF of Fractions 51/78,81/147,363/763 is 3/416598

3 51, 81, 363
17, 27, 121

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

Greatest Common Factor of 51,81,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,81,363 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 51,81,363 . The biggest common factor number is the GCF number.
So the greatest common factor 51,81,363 is 3.

Lets's calculate LCM of 78,147,763

3 78, 147, 763
7 26, 49, 763
26, 7, 109

∴ So the LCM of the given numbers is 3 x 7 x 26 x 7 x 109 = 416598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/416598

Therefore, the GCF of Fractions 51/78,81/147,363/763 is 3/416598

Least Common Multiple of 78,147,763 with GCF Formula

Least Common Multiple of 78,147,763 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 78,147,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,147,763) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(78,147,763) x common factors =1 x 21 = 21

LCM(78,147,763) = ( 78 × 147 × 763 ) / 21

LCM(78,147,763) = 8748558 / 21

LCM(78,147,763) = 416598


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 51/78, 81/147, 363/763

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 51/78, 81/147, 363/763?

Answer: GCF of Numerators as per given numbers 51/78, 81/147, 363/763 is

GCF of Numerators i.e. for 51,81,363 is 3

LCM of denominators i.e. for 78,147,763 is 416598.

Thus, GCF of Fractions is 3/416598.Finally, GCF of Fractions for 51/78, 81/147, 363/763 is 3/416598.