Greatest Common Factor of 2496/502, 3419/8822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2496/502, 3419/8822

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 2496/502,3419/8822

Given fractions are 2496/502,3419/8822

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 2496,3419

Greatest Common Factor of Numerators i.e. GCF of 2496,3419 is 13 .

LCM of Denominators means LCM of 502,8822 as per the given fractions.

LCM of 502,8822 is 2214322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2496,3419

GCF of Fractions 2496/502,3419/8822 is 13/2214322

13 2496, 3419
192, 263

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 2496,3419 By Matching Biggest Common Factor Method

Greatest Common Factor of 2496,3419 By Matching Biggest Common Factor Method

Factors of 2496

List of positive integer factors of 2496 that divides 2496 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496

Factors of 3419

List of positive integer factors of 3419 that divides 3419 without a remainder.

1,13,263,3419

Greatest Common Factor

We found the factors 2496,3419 . The biggest common factor number is the GCF number.
So the greatest common factor 2496,3419 is 13.

Lets's calculate LCM of 502,8822

2 502, 8822
251, 4411

∴ So the LCM of the given numbers is 2 x 251 x 4411 = 2214322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2214322

Therefore, the GCF of Fractions 2496/502,3419/8822 is 13/2214322

Least Common Multiple of 502,8822 with GCF Formula

Least Common Multiple of 502,8822 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 502,8822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,8822) = 2

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

GCF(502,8822) x common factors =2 x 1 = 2

LCM(502,8822) = ( 502 × 8822 ) / 2

LCM(502,8822) = 4428644 / 2

LCM(502,8822) = 2214322


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 2496/502, 3419/8822

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 2496/502, 3419/8822?

Answer: GCF of Numerators as per given numbers 2496/502, 3419/8822 is

GCF of Numerators i.e. for 2496,3419 is 13

LCM of denominators i.e. for 502,8822 is 2214322.

Thus, GCF of Fractions is 13/2214322.Finally, GCF of Fractions for 2496/502, 3419/8822 is 13/2214322.