Greatest Common Factor of 968/67, 360/15, 726/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 968/67, 360/15, 726/953

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 968/67,360/15,726/953

Given fractions are 968/67,360/15,726/953

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 968,360,726

Greatest Common Factor of Numerators i.e. GCF of 968,360,726 is 2 .

LCM of Denominators means LCM of 67,15,953 as per the given fractions.

LCM of 67,15,953 is 957765 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 968,360,726

GCF of Fractions 968/67,360/15,726/953 is 2/957765

2 968, 360, 726
484, 180, 363

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

Greatest Common Factor of 968,360,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,360,726 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

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

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 968,360,726 . The biggest common factor number is the GCF number.
So the greatest common factor 968,360,726 is 2.

Lets's calculate LCM of 67,15,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 957765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/957765

Therefore, the GCF of Fractions 968/67,360/15,726/953 is 2/957765

Least Common Multiple of 67,15,953 with GCF Formula

Least Common Multiple of 67,15,953 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 67,15,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,15,953) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(67,15,953) x common factors =1 x 1 = 1

LCM(67,15,953) = ( 67 × 15 × 953 ) / 1

LCM(67,15,953) = 957765 / 1

LCM(67,15,953) = 957765


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 968/67, 360/15, 726/953

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 968/67, 360/15, 726/953?

Answer: GCF of Numerators as per given numbers 968/67, 360/15, 726/953 is

GCF of Numerators i.e. for 968,360,726 is 2

LCM of denominators i.e. for 67,15,953 is 957765.

Thus, GCF of Fractions is 2/957765.Finally, GCF of Fractions for 968/67, 360/15, 726/953 is 2/957765.