Greatest Common Factor of 657/16, 200/90, 898/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/16, 200/90, 898/64

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 657/16,200/90,898/64

Given fractions are 657/16,200/90,898/64

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 657,200,898

Greatest Common Factor of Numerators i.e. GCF of 657,200,898 is 1 .

LCM of Denominators means LCM of 16,90,64 as per the given fractions.

LCM of 16,90,64 is 2880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,200,898

GCF of Fractions 657/16,200/90,898/64 is 1/2880

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

Greatest Common Factor of 657,200,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,200,898 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 657,200,898 . The biggest common factor number is the GCF number.
So the greatest common factor 657,200,898 is 1.

Lets's calculate LCM of 16,90,64

2 16, 90, 64
2 8, 45, 32
2 4, 45, 16
2 2, 45, 8
1, 45, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 45 x 4 = 2880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2880

Therefore, the GCF of Fractions 657/16,200/90,898/64 is 1/2880

Least Common Multiple of 16,90,64 with GCF Formula

Least Common Multiple of 16,90,64 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 16,90,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,90,64) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(16,90,64) x common factors =2 x 16 = 32

LCM(16,90,64) = ( 16 × 90 × 64 ) / 32

LCM(16,90,64) = 92160 / 32

LCM(16,90,64) = 2880


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 657/16, 200/90, 898/64

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 657/16, 200/90, 898/64?

Answer: GCF of Numerators as per given numbers 657/16, 200/90, 898/64 is

GCF of Numerators i.e. for 657,200,898 is 1

LCM of denominators i.e. for 16,90,64 is 2880.

Thus, GCF of Fractions is 1/2880.Finally, GCF of Fractions for 657/16, 200/90, 898/64 is 1/2880.