Greatest Common Factor of 4992/349, 8204/5518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4992/349, 8204/5518

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 4992/349,8204/5518

Given fractions are 4992/349,8204/5518

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 4992,8204

Greatest Common Factor of Numerators i.e. GCF of 4992,8204 is 4 .

LCM of Denominators means LCM of 349,5518 as per the given fractions.

LCM of 349,5518 is 1925782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4992,8204

GCF of Fractions 4992/349,8204/5518 is 4/1925782

2 4992, 8204
2 2496, 4102
1248, 2051

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4992,8204 By Matching Biggest Common Factor Method

Greatest Common Factor of 4992,8204 By Matching Biggest Common Factor Method

Factors of 4992

List of positive integer factors of 4992 that divides 4992 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,312,384,416,624,832,1248,1664,2496,4992

Factors of 8204

List of positive integer factors of 8204 that divides 8204 without a remainder.

1,2,4,7,14,28,293,586,1172,2051,4102,8204

Greatest Common Factor

We found the factors 4992,8204 . The biggest common factor number is the GCF number.
So the greatest common factor 4992,8204 is 4.

Lets's calculate LCM of 349,5518

Given numbers has no common factors except 1. So, there LCM is their product i.e 1925782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1925782

Therefore, the GCF of Fractions 4992/349,8204/5518 is 4/1925782

Least Common Multiple of 349,5518 with GCF Formula

Least Common Multiple of 349,5518 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 349,5518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,5518) = 1

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

GCF(349,5518) x common factors =1 x 1 = 1

LCM(349,5518) = ( 349 × 5518 ) / 1

LCM(349,5518) = 1925782 / 1

LCM(349,5518) = 1925782


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 4992/349, 8204/5518

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 4992/349, 8204/5518?

Answer: GCF of Numerators as per given numbers 4992/349, 8204/5518 is

GCF of Numerators i.e. for 4992,8204 is 4

LCM of denominators i.e. for 349,5518 is 1925782.

Thus, GCF of Fractions is 4/1925782.Finally, GCF of Fractions for 4992/349, 8204/5518 is 4/1925782.