Greatest Common Factor of 638/559, 464/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 638/559, 464/139

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 638/559,464/139

Given fractions are 638/559,464/139

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 638,464

Greatest Common Factor of Numerators i.e. GCF of 638,464 is 58 .

LCM of Denominators means LCM of 559,139 as per the given fractions.

LCM of 559,139 is 77701 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 638,464

GCF of Fractions 638/559,464/139 is 58/77701

2 638, 464
29 319, 232
11, 8

∴ So the GCF of the given numbers is 2 x 29 = 58

Greatest Common Factor of 638,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,464 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 638,464 . The biggest common factor number is the GCF number.
So the greatest common factor 638,464 is 58.

Lets's calculate LCM of 559,139

Given numbers has no common factors except 1. So, there LCM is their product i.e 77701

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/77701

Therefore, the GCF of Fractions 638/559,464/139 is 58/77701

Least Common Multiple of 559,139 with GCF Formula

Least Common Multiple of 559,139 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 559,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,139) = 1

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

GCF(559,139) x common factors =1 x 1 = 1

LCM(559,139) = ( 559 × 139 ) / 1

LCM(559,139) = 77701 / 1

LCM(559,139) = 77701


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 638/559, 464/139

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 638/559, 464/139?

Answer: GCF of Numerators as per given numbers 638/559, 464/139 is

GCF of Numerators i.e. for 638,464 is 58

LCM of denominators i.e. for 559,139 is 77701.

Thus, GCF of Fractions is 58/77701.Finally, GCF of Fractions for 638/559, 464/139 is 58/77701.