Greatest Common Factor of 8424/971, 2488/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8424/971, 2488/496

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 8424/971,2488/496

Given fractions are 8424/971,2488/496

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 8424,2488

Greatest Common Factor of Numerators i.e. GCF of 8424,2488 is 8 .

LCM of Denominators means LCM of 971,496 as per the given fractions.

LCM of 971,496 is 481616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8424,2488

GCF of Fractions 8424/971,2488/496 is 8/481616

2 8424, 2488
2 4212, 1244
2 2106, 622
1053, 311

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 8424,2488 By Matching Biggest Common Factor Method

Greatest Common Factor of 8424,2488 By Matching Biggest Common Factor Method

Factors of 8424

List of positive integer factors of 8424 that divides 8424 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,81,104,108,117,156,162,216,234,312,324,351,468,648,702,936,1053,1404,2106,2808,4212,8424

Factors of 2488

List of positive integer factors of 2488 that divides 2488 without a remainder.

1,2,4,8,311,622,1244,2488

Greatest Common Factor

We found the factors 8424,2488 . The biggest common factor number is the GCF number.
So the greatest common factor 8424,2488 is 8.

Lets's calculate LCM of 971,496

Given numbers has no common factors except 1. So, there LCM is their product i.e 481616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/481616

Therefore, the GCF of Fractions 8424/971,2488/496 is 8/481616

Least Common Multiple of 971,496 with GCF Formula

Least Common Multiple of 971,496 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 971,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,496) = 1

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

GCF(971,496) x common factors =1 x 1 = 1

LCM(971,496) = ( 971 × 496 ) / 1

LCM(971,496) = 481616 / 1

LCM(971,496) = 481616


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 8424/971, 2488/496

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 8424/971, 2488/496?

Answer: GCF of Numerators as per given numbers 8424/971, 2488/496 is

GCF of Numerators i.e. for 8424,2488 is 8

LCM of denominators i.e. for 971,496 is 481616.

Thus, GCF of Fractions is 8/481616.Finally, GCF of Fractions for 8424/971, 2488/496 is 8/481616.