Greatest Common Factor of 732/93, 778/53, 646/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 732/93, 778/53, 646/219

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 732/93,778/53,646/219

Given fractions are 732/93,778/53,646/219

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 732,778,646

Greatest Common Factor of Numerators i.e. GCF of 732,778,646 is 2 .

LCM of Denominators means LCM of 93,53,219 as per the given fractions.

LCM of 93,53,219 is 359817 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 732,778,646

GCF of Fractions 732/93,778/53,646/219 is 2/359817

2 732, 778, 646
366, 389, 323

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 732,778,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,778,646 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 732,778,646 . The biggest common factor number is the GCF number.
So the greatest common factor 732,778,646 is 2.

Lets's calculate LCM of 93,53,219

3 93, 53, 219
31, 53, 73

∴ So the LCM of the given numbers is 3 x 31 x 53 x 73 = 359817

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/359817

Therefore, the GCF of Fractions 732/93,778/53,646/219 is 2/359817

Least Common Multiple of 93,53,219 with GCF Formula

Least Common Multiple of 93,53,219 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 93,53,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,53,219) = 1

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

GCF(93,53,219) x common factors =1 x 3 = 3

LCM(93,53,219) = ( 93 × 53 × 219 ) / 3

LCM(93,53,219) = 1079451 / 3

LCM(93,53,219) = 359817


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 732/93, 778/53, 646/219

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 732/93, 778/53, 646/219?

Answer: GCF of Numerators as per given numbers 732/93, 778/53, 646/219 is

GCF of Numerators i.e. for 732,778,646 is 2

LCM of denominators i.e. for 93,53,219 is 359817.

Thus, GCF of Fractions is 2/359817.Finally, GCF of Fractions for 732/93, 778/53, 646/219 is 2/359817.