Greatest Common Factor of 758/714, 813/334, 360/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 758/714, 813/334, 360/133

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 758/714,813/334,360/133

Given fractions are 758/714,813/334,360/133

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 758,813,360

Greatest Common Factor of Numerators i.e. GCF of 758,813,360 is 1 .

LCM of Denominators means LCM of 714,334,133 as per the given fractions.

LCM of 714,334,133 is 2265522 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 758,813,360

GCF of Fractions 758/714,813/334,360/133 is 1/2265522

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

Greatest Common Factor of 758,813,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,813,360 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

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

Greatest Common Factor

We found the factors 758,813,360 . The biggest common factor number is the GCF number.
So the greatest common factor 758,813,360 is 1.

Lets's calculate LCM of 714,334,133

2 714, 334, 133
7 357, 167, 133
51, 167, 19

∴ So the LCM of the given numbers is 2 x 7 x 51 x 167 x 19 = 2265522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2265522

Therefore, the GCF of Fractions 758/714,813/334,360/133 is 1/2265522

Least Common Multiple of 714,334,133 with GCF Formula

Least Common Multiple of 714,334,133 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 714,334,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,334,133) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(714,334,133) x common factors =1 x 14 = 14

LCM(714,334,133) = ( 714 × 334 × 133 ) / 14

LCM(714,334,133) = 31717308 / 14

LCM(714,334,133) = 2265522


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 758/714, 813/334, 360/133

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 758/714, 813/334, 360/133?

Answer: GCF of Numerators as per given numbers 758/714, 813/334, 360/133 is

GCF of Numerators i.e. for 758,813,360 is 1

LCM of denominators i.e. for 714,334,133 is 2265522.

Thus, GCF of Fractions is 1/2265522.Finally, GCF of Fractions for 758/714, 813/334, 360/133 is 1/2265522.