Greatest Common Factor of 8424/640, 1668/6316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8424/640, 1668/6316

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 8424/640,1668/6316

Given fractions are 8424/640,1668/6316

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 8424,1668

Greatest Common Factor of Numerators i.e. GCF of 8424,1668 is 12 .

LCM of Denominators means LCM of 640,6316 as per the given fractions.

LCM of 640,6316 is 1010560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8424,1668

GCF of Fractions 8424/640,1668/6316 is 12/1010560

2 8424, 1668
2 4212, 834
3 2106, 417
702, 139

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 8424,1668 By Matching Biggest Common Factor Method

Greatest Common Factor of 8424,1668 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 1668

List of positive integer factors of 1668 that divides 1668 without a remainder.

1,2,3,4,6,12,139,278,417,556,834,1668

Greatest Common Factor

We found the factors 8424,1668 . The biggest common factor number is the GCF number.
So the greatest common factor 8424,1668 is 12.

Lets's calculate LCM of 640,6316

2 640, 6316
2 320, 3158
160, 1579

∴ So the LCM of the given numbers is 2 x 2 x 160 x 1579 = 1010560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1010560

Therefore, the GCF of Fractions 8424/640,1668/6316 is 12/1010560

Least Common Multiple of 640,6316 with GCF Formula

Least Common Multiple of 640,6316 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 640,6316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,6316) = 4

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

GCF(640,6316) x common factors =4 x 1 = 4

LCM(640,6316) = ( 640 × 6316 ) / 4

LCM(640,6316) = 4042240 / 4

LCM(640,6316) = 1010560


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 8424/640, 1668/6316

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 8424/640, 1668/6316?

Answer: GCF of Numerators as per given numbers 8424/640, 1668/6316 is

GCF of Numerators i.e. for 8424,1668 is 12

LCM of denominators i.e. for 640,6316 is 1010560.

Thus, GCF of Fractions is 12/1010560.Finally, GCF of Fractions for 8424/640, 1668/6316 is 12/1010560.