Greatest Common Factor of 601/836, 496/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 601/836, 496/649

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 601/836,496/649

Given fractions are 601/836,496/649

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 601,496

Greatest Common Factor of Numerators i.e. GCF of 601,496 is 1 .

LCM of Denominators means LCM of 836,649 as per the given fractions.

LCM of 836,649 is 49324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 601,496

GCF of Fractions 601/836,496/649 is 1/49324

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

Greatest Common Factor of 601,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,496 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 601,496 . The biggest common factor number is the GCF number.
So the greatest common factor 601,496 is 1.

Lets's calculate LCM of 836,649

11 836, 649
76, 59

∴ So the LCM of the given numbers is 11 x 76 x 59 = 49324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49324

Therefore, the GCF of Fractions 601/836,496/649 is 1/49324

Least Common Multiple of 836,649 with GCF Formula

Least Common Multiple of 836,649 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 836,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,649) = 11

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

GCF(836,649) x common factors =11 x 1 = 11

LCM(836,649) = ( 836 × 649 ) / 11

LCM(836,649) = 542564 / 11

LCM(836,649) = 49324


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 601/836, 496/649

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 601/836, 496/649?

Answer: GCF of Numerators as per given numbers 601/836, 496/649 is

GCF of Numerators i.e. for 601,496 is 1

LCM of denominators i.e. for 836,649 is 49324.

Thus, GCF of Fractions is 1/49324.Finally, GCF of Fractions for 601/836, 496/649 is 1/49324.