Greatest Common Factor of 496/579, 8184/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 496/579, 8184/698

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 496/579,8184/698

Given fractions are 496/579,8184/698

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 496,8184

Greatest Common Factor of Numerators i.e. GCF of 496,8184 is 248 .

LCM of Denominators means LCM of 579,698 as per the given fractions.

LCM of 579,698 is 404142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 496,8184

GCF of Fractions 496/579,8184/698 is 248/404142

2 496, 8184
2 248, 4092
2 124, 2046
31 62, 1023
2, 33

∴ So the GCF of the given numbers is 2 x 2 x 2 x 31 = 248

Greatest Common Factor of 496,8184 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,8184 By Matching Biggest Common Factor Method

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

Factors of 8184

List of positive integer factors of 8184 that divides 8184 without a remainder.

1,2,3,4,6,8,11,12,22,24,31,33,44,62,66,88,93,124,132,186,248,264,341,372,682,744,1023,1364,2046,2728,4092,8184

Greatest Common Factor

We found the factors 496,8184 . The biggest common factor number is the GCF number.
So the greatest common factor 496,8184 is 248.

Lets's calculate LCM of 579,698

Given numbers has no common factors except 1. So, there LCM is their product i.e 404142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 248/404142

Therefore, the GCF of Fractions 496/579,8184/698 is 248/404142

Least Common Multiple of 579,698 with GCF Formula

Least Common Multiple of 579,698 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 579,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(579,698) = 1

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

GCF(579,698) x common factors =1 x 1 = 1

LCM(579,698) = ( 579 × 698 ) / 1

LCM(579,698) = 404142 / 1

LCM(579,698) = 404142


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 496/579, 8184/698

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 496/579, 8184/698?

Answer: GCF of Numerators as per given numbers 496/579, 8184/698 is

GCF of Numerators i.e. for 496,8184 is 248

LCM of denominators i.e. for 579,698 is 404142.

Thus, GCF of Fractions is 248/404142.Finally, GCF of Fractions for 496/579, 8184/698 is 248/404142.