Greatest Common Factor of 547/201, 783/663, 312/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 547/201, 783/663, 312/960

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 547/201,783/663,312/960

Given fractions are 547/201,783/663,312/960

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 547,783,312

Greatest Common Factor of Numerators i.e. GCF of 547,783,312 is 1 .

LCM of Denominators means LCM of 201,663,960 as per the given fractions.

LCM of 201,663,960 is 14214720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 547,783,312

GCF of Fractions 547/201,783/663,312/960 is 1/14214720

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

Greatest Common Factor of 547,783,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,783,312 By Matching Biggest Common Factor Method

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 547,783,312 . The biggest common factor number is the GCF number.
So the greatest common factor 547,783,312 is 1.

Lets's calculate LCM of 201,663,960

3 201, 663, 960
67, 221, 320

∴ So the LCM of the given numbers is 3 x 67 x 221 x 320 = 14214720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14214720

Therefore, the GCF of Fractions 547/201,783/663,312/960 is 1/14214720

Least Common Multiple of 201,663,960 with GCF Formula

Least Common Multiple of 201,663,960 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 201,663,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,663,960) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(201,663,960) x common factors =3 x 3 = 9

LCM(201,663,960) = ( 201 × 663 × 960 ) / 9

LCM(201,663,960) = 127932480 / 9

LCM(201,663,960) = 14214720


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 547/201, 783/663, 312/960

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 547/201, 783/663, 312/960?

Answer: GCF of Numerators as per given numbers 547/201, 783/663, 312/960 is

GCF of Numerators i.e. for 547,783,312 is 1

LCM of denominators i.e. for 201,663,960 is 14214720.

Thus, GCF of Fractions is 1/14214720.Finally, GCF of Fractions for 547/201, 783/663, 312/960 is 1/14214720.