Greatest Common Factor of 605/52, 726/93, 688/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 605/52, 726/93, 688/694

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 605/52,726/93,688/694

Given fractions are 605/52,726/93,688/694

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 605,726,688

Greatest Common Factor of Numerators i.e. GCF of 605,726,688 is 1 .

LCM of Denominators means LCM of 52,93,694 as per the given fractions.

LCM of 52,93,694 is 1678092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 605,726,688

GCF of Fractions 605/52,726/93,688/694 is 1/1678092

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

Greatest Common Factor of 605,726,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,726,688 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

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

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 605,726,688 . The biggest common factor number is the GCF number.
So the greatest common factor 605,726,688 is 1.

Lets's calculate LCM of 52,93,694

2 52, 93, 694
26, 93, 347

∴ So the LCM of the given numbers is 2 x 26 x 93 x 347 = 1678092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1678092

Therefore, the GCF of Fractions 605/52,726/93,688/694 is 1/1678092

Least Common Multiple of 52,93,694 with GCF Formula

Least Common Multiple of 52,93,694 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 52,93,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,93,694) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(52,93,694) x common factors =1 x 2 = 2

LCM(52,93,694) = ( 52 × 93 × 694 ) / 2

LCM(52,93,694) = 3356184 / 2

LCM(52,93,694) = 1678092


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 605/52, 726/93, 688/694

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 605/52, 726/93, 688/694?

Answer: GCF of Numerators as per given numbers 605/52, 726/93, 688/694 is

GCF of Numerators i.e. for 605,726,688 is 1

LCM of denominators i.e. for 52,93,694 is 1678092.

Thus, GCF of Fractions is 1/1678092.Finally, GCF of Fractions for 605/52, 726/93, 688/694 is 1/1678092.