Greatest Common Factor of 720/93, 382/78, 935/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 720/93, 382/78, 935/772

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 720/93,382/78,935/772

Given fractions are 720/93,382/78,935/772

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 720,382,935

Greatest Common Factor of Numerators i.e. GCF of 720,382,935 is 1 .

LCM of Denominators means LCM of 93,78,772 as per the given fractions.

LCM of 93,78,772 is 933348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 720,382,935

GCF of Fractions 720/93,382/78,935/772 is 1/933348

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

Greatest Common Factor of 720,382,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,382,935 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 720,382,935 . The biggest common factor number is the GCF number.
So the greatest common factor 720,382,935 is 1.

Lets's calculate LCM of 93,78,772

2 93, 78, 772
3 93, 39, 386
31, 13, 386

∴ So the LCM of the given numbers is 2 x 3 x 31 x 13 x 386 = 933348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/933348

Therefore, the GCF of Fractions 720/93,382/78,935/772 is 1/933348

Least Common Multiple of 93,78,772 with GCF Formula

Least Common Multiple of 93,78,772 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 93,78,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,78,772) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(93,78,772) x common factors =1 x 6 = 6

LCM(93,78,772) = ( 93 × 78 × 772 ) / 6

LCM(93,78,772) = 5600088 / 6

LCM(93,78,772) = 933348


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 720/93, 382/78, 935/772

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 720/93, 382/78, 935/772?

Answer: GCF of Numerators as per given numbers 720/93, 382/78, 935/772 is

GCF of Numerators i.e. for 720,382,935 is 1

LCM of denominators i.e. for 93,78,772 is 933348.

Thus, GCF of Fractions is 1/933348.Finally, GCF of Fractions for 720/93, 382/78, 935/772 is 1/933348.