Greatest Common Factor of 783/630, 714/347, 366/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 783/630, 714/347, 366/441

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 783/630,714/347,366/441

Given fractions are 783/630,714/347,366/441

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 783,714,366

Greatest Common Factor of Numerators i.e. GCF of 783,714,366 is 3 .

LCM of Denominators means LCM of 630,347,441 as per the given fractions.

LCM of 630,347,441 is 1530270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 783,714,366

GCF of Fractions 783/630,714/347,366/441 is 3/1530270

3 783, 714, 366
261, 238, 122

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

Greatest Common Factor of 783,714,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,714,366 By Matching Biggest Common Factor Method

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 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 783,714,366 . The biggest common factor number is the GCF number.
So the greatest common factor 783,714,366 is 3.

Lets's calculate LCM of 630,347,441

3 630, 347, 441
3 210, 347, 147
7 70, 347, 49
10, 347, 7

∴ So the LCM of the given numbers is 3 x 3 x 7 x 10 x 347 x 7 = 1530270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1530270

Therefore, the GCF of Fractions 783/630,714/347,366/441 is 3/1530270

Least Common Multiple of 630,347,441 with GCF Formula

Least Common Multiple of 630,347,441 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 630,347,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,347,441) = 1

common factors(in case of two or more numbers have common factors) = 63

GCF(630,347,441) x common factors =1 x 63 = 63

LCM(630,347,441) = ( 630 × 347 × 441 ) / 63

LCM(630,347,441) = 96407010 / 63

LCM(630,347,441) = 1530270


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 783/630, 714/347, 366/441

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 783/630, 714/347, 366/441?

Answer: GCF of Numerators as per given numbers 783/630, 714/347, 366/441 is

GCF of Numerators i.e. for 783,714,366 is 3

LCM of denominators i.e. for 630,347,441 is 1530270.

Thus, GCF of Fractions is 3/1530270.Finally, GCF of Fractions for 783/630, 714/347, 366/441 is 3/1530270.