Greatest Common Factor of 1/12, 51/69, 78/168, 631/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/12, 51/69, 78/168, 631/817

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 1/12,51/69,78/168,631/817

Given fractions are 1/12,51/69,78/168,631/817

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 1,51,78,631

Greatest Common Factor of Numerators i.e. GCF of 1,51,78,631 is 1 .

LCM of Denominators means LCM of 12,69,168,817 as per the given fractions.

LCM of 12,69,168,817 is 3156888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,51,78,631

GCF of Fractions 1/12,51/69,78/168,631/817 is 1/3156888

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

Greatest Common Factor of 1,51,78,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,51,78,631 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 51

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

1,3,17,51

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 1,51,78,631 . The biggest common factor number is the GCF number.
So the greatest common factor 1,51,78,631 is 1.

Lets's calculate LCM of 12,69,168,817

2 12, 69, 168, 817
2 6, 69, 84, 817
3 3, 69, 42, 817
1, 23, 14, 817

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 23 x 14 x 817 = 3156888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3156888

Therefore, the GCF of Fractions 1/12,51/69,78/168,631/817 is 1/3156888

Least Common Multiple of 12,69,168,817 with GCF Formula

Least Common Multiple of 12,69,168,817 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 12,69,168,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,69,168,817) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(12,69,168,817) x common factors =1 x 36 = 36

LCM(12,69,168,817) = ( 12 × 69 × 168 × 817 ) / 36

LCM(12,69,168,817) = 113647968 / 36

LCM(12,69,168,817) = 3156888


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1/12, 51/69, 78/168, 631/817

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 1/12, 51/69, 78/168, 631/817?

Answer: GCF of Numerators as per given numbers 1/12, 51/69, 78/168, 631/817 is

GCF of Numerators i.e. for 1,51,78,631 is 1

LCM of denominators i.e. for 12,69,168,817 is 3156888.

Thus, GCF of Fractions is 1/3156888.Finally, GCF of Fractions for 1/12, 51/69, 78/168, 631/817 is 1/3156888.