Greatest Common Factor of 775/88, 455/66, 997/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 775/88, 455/66, 997/198

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 775/88,455/66,997/198

Given fractions are 775/88,455/66,997/198

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 775,455,997

Greatest Common Factor of Numerators i.e. GCF of 775,455,997 is 1 .

LCM of Denominators means LCM of 88,66,198 as per the given fractions.

LCM of 88,66,198 is 792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 775,455,997

GCF of Fractions 775/88,455/66,997/198 is 1/792

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

Greatest Common Factor of 775,455,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,455,997 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 775,455,997 . The biggest common factor number is the GCF number.
So the greatest common factor 775,455,997 is 1.

Lets's calculate LCM of 88,66,198

2 88, 66, 198
3 44, 33, 99
11 44, 11, 33
4, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 11 x 4 x 1 x 3 = 792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/792

Therefore, the GCF of Fractions 775/88,455/66,997/198 is 1/792

Least Common Multiple of 88,66,198 with GCF Formula

Least Common Multiple of 88,66,198 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 88,66,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,66,198) = 22

common factors(in case of two or more numbers have common factors) = 66

GCF(88,66,198) x common factors =22 x 66 = 1452

LCM(88,66,198) = ( 88 × 66 × 198 ) / 1452

LCM(88,66,198) = 1149984 / 1452

LCM(88,66,198) = 792


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 775/88, 455/66, 997/198

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 775/88, 455/66, 997/198?

Answer: GCF of Numerators as per given numbers 775/88, 455/66, 997/198 is

GCF of Numerators i.e. for 775,455,997 is 1

LCM of denominators i.e. for 88,66,198 is 792.

Thus, GCF of Fractions is 1/792.Finally, GCF of Fractions for 775/88, 455/66, 997/198 is 1/792.