Greatest Common Factor of 658/497, 3200/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 658/497, 3200/128

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 658/497,3200/128

Given fractions are 658/497,3200/128

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 658,3200

Greatest Common Factor of Numerators i.e. GCF of 658,3200 is 2 .

LCM of Denominators means LCM of 497,128 as per the given fractions.

LCM of 497,128 is 63616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 658,3200

GCF of Fractions 658/497,3200/128 is 2/63616

2 658, 3200
329, 1600

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 658,3200 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,3200 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 3200

List of positive integer factors of 3200 that divides 3200 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,320,400,640,800,1600,3200

Greatest Common Factor

We found the factors 658,3200 . The biggest common factor number is the GCF number.
So the greatest common factor 658,3200 is 2.

Lets's calculate LCM of 497,128

Given numbers has no common factors except 1. So, there LCM is their product i.e 63616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63616

Therefore, the GCF of Fractions 658/497,3200/128 is 2/63616

Least Common Multiple of 497,128 with GCF Formula

Least Common Multiple of 497,128 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 497,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,128) = 1

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

GCF(497,128) x common factors =1 x 1 = 1

LCM(497,128) = ( 497 × 128 ) / 1

LCM(497,128) = 63616 / 1

LCM(497,128) = 63616


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 658/497, 3200/128

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 658/497, 3200/128?

Answer: GCF of Numerators as per given numbers 658/497, 3200/128 is

GCF of Numerators i.e. for 658,3200 is 2

LCM of denominators i.e. for 497,128 is 63616.

Thus, GCF of Fractions is 2/63616.Finally, GCF of Fractions for 658/497, 3200/128 is 2/63616.