Greatest Common Factor of 457/45, 895/11, 219/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 457/45, 895/11, 219/199

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 457/45,895/11,219/199

Given fractions are 457/45,895/11,219/199

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 457,895,219

Greatest Common Factor of Numerators i.e. GCF of 457,895,219 is 1 .

LCM of Denominators means LCM of 45,11,199 as per the given fractions.

LCM of 45,11,199 is 98505 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 457,895,219

GCF of Fractions 457/45,895/11,219/199 is 1/98505

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

Greatest Common Factor of 457,895,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,895,219 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 457,895,219 . The biggest common factor number is the GCF number.
So the greatest common factor 457,895,219 is 1.

Lets's calculate LCM of 45,11,199

Given numbers has no common factors except 1. So, there LCM is their product i.e 98505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98505

Therefore, the GCF of Fractions 457/45,895/11,219/199 is 1/98505

Least Common Multiple of 45,11,199 with GCF Formula

Least Common Multiple of 45,11,199 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 45,11,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,11,199) = 1

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

GCF(45,11,199) x common factors =1 x 1 = 1

LCM(45,11,199) = ( 45 × 11 × 199 ) / 1

LCM(45,11,199) = 98505 / 1

LCM(45,11,199) = 98505


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 457/45, 895/11, 219/199

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 457/45, 895/11, 219/199?

Answer: GCF of Numerators as per given numbers 457/45, 895/11, 219/199 is

GCF of Numerators i.e. for 457,895,219 is 1

LCM of denominators i.e. for 45,11,199 is 98505.

Thus, GCF of Fractions is 1/98505.Finally, GCF of Fractions for 457/45, 895/11, 219/199 is 1/98505.