Greatest Common Factor of 1684/506, 9878/5628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1684/506, 9878/5628

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 1684/506,9878/5628

Given fractions are 1684/506,9878/5628

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 1684,9878

Greatest Common Factor of Numerators i.e. GCF of 1684,9878 is 2 .

LCM of Denominators means LCM of 506,5628 as per the given fractions.

LCM of 506,5628 is 1423884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1684,9878

GCF of Fractions 1684/506,9878/5628 is 2/1423884

2 1684, 9878
842, 4939

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

Greatest Common Factor of 1684,9878 By Matching Biggest Common Factor Method

Greatest Common Factor of 1684,9878 By Matching Biggest Common Factor Method

Factors of 1684

List of positive integer factors of 1684 that divides 1684 without a remainder.

1,2,4,421,842,1684

Factors of 9878

List of positive integer factors of 9878 that divides 9878 without a remainder.

1,2,11,22,449,898,4939,9878

Greatest Common Factor

We found the factors 1684,9878 . The biggest common factor number is the GCF number.
So the greatest common factor 1684,9878 is 2.

Lets's calculate LCM of 506,5628

2 506, 5628
253, 2814

∴ So the LCM of the given numbers is 2 x 253 x 2814 = 1423884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1423884

Therefore, the GCF of Fractions 1684/506,9878/5628 is 2/1423884

Least Common Multiple of 506,5628 with GCF Formula

Least Common Multiple of 506,5628 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 506,5628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,5628) = 2

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

GCF(506,5628) x common factors =2 x 1 = 2

LCM(506,5628) = ( 506 × 5628 ) / 2

LCM(506,5628) = 2847768 / 2

LCM(506,5628) = 1423884


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 1684/506, 9878/5628

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 1684/506, 9878/5628?

Answer: GCF of Numerators as per given numbers 1684/506, 9878/5628 is

GCF of Numerators i.e. for 1684,9878 is 2

LCM of denominators i.e. for 506,5628 is 1423884.

Thus, GCF of Fractions is 2/1423884.Finally, GCF of Fractions for 1684/506, 9878/5628 is 2/1423884.