Greatest Common Factor of 697/97, 220/82, 726/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 697/97, 220/82, 726/761

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 697/97,220/82,726/761

Given fractions are 697/97,220/82,726/761

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 697,220,726

Greatest Common Factor of Numerators i.e. GCF of 697,220,726 is 1 .

LCM of Denominators means LCM of 97,82,761 as per the given fractions.

LCM of 97,82,761 is 6052994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 697,220,726

GCF of Fractions 697/97,220/82,726/761 is 1/6052994

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

Greatest Common Factor of 697,220,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,220,726 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

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 697,220,726 . The biggest common factor number is the GCF number.
So the greatest common factor 697,220,726 is 1.

Lets's calculate LCM of 97,82,761

Given numbers has no common factors except 1. So, there LCM is their product i.e 6052994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6052994

Therefore, the GCF of Fractions 697/97,220/82,726/761 is 1/6052994

Least Common Multiple of 97,82,761 with GCF Formula

Least Common Multiple of 97,82,761 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 97,82,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,82,761) = 1

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

GCF(97,82,761) x common factors =1 x 1 = 1

LCM(97,82,761) = ( 97 × 82 × 761 ) / 1

LCM(97,82,761) = 6052994 / 1

LCM(97,82,761) = 6052994


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 697/97, 220/82, 726/761

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 697/97, 220/82, 726/761?

Answer: GCF of Numerators as per given numbers 697/97, 220/82, 726/761 is

GCF of Numerators i.e. for 697,220,726 is 1

LCM of denominators i.e. for 97,82,761 is 6052994.

Thus, GCF of Fractions is 1/6052994.Finally, GCF of Fractions for 697/97, 220/82, 726/761 is 1/6052994.