Greatest Common Factor of 6128/847, 2824/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6128/847, 2824/889

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 6128/847,2824/889

Given fractions are 6128/847,2824/889

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 6128,2824

Greatest Common Factor of Numerators i.e. GCF of 6128,2824 is 8 .

LCM of Denominators means LCM of 847,889 as per the given fractions.

LCM of 847,889 is 107569 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6128,2824

GCF of Fractions 6128/847,2824/889 is 8/107569

2 6128, 2824
2 3064, 1412
2 1532, 706
766, 353

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

Greatest Common Factor of 6128,2824 By Matching Biggest Common Factor Method

Greatest Common Factor of 6128,2824 By Matching Biggest Common Factor Method

Factors of 6128

List of positive integer factors of 6128 that divides 6128 without a remainder.

1,2,4,8,16,383,766,1532,3064,6128

Factors of 2824

List of positive integer factors of 2824 that divides 2824 without a remainder.

1,2,4,8,353,706,1412,2824

Greatest Common Factor

We found the factors 6128,2824 . The biggest common factor number is the GCF number.
So the greatest common factor 6128,2824 is 8.

Lets's calculate LCM of 847,889

7 847, 889
121, 127

∴ So the LCM of the given numbers is 7 x 121 x 127 = 107569

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/107569

Therefore, the GCF of Fractions 6128/847,2824/889 is 8/107569

Least Common Multiple of 847,889 with GCF Formula

Least Common Multiple of 847,889 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 847,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,889) = 7

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

GCF(847,889) x common factors =7 x 1 = 7

LCM(847,889) = ( 847 × 889 ) / 7

LCM(847,889) = 752983 / 7

LCM(847,889) = 107569


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 6128/847, 2824/889

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 6128/847, 2824/889?

Answer: GCF of Numerators as per given numbers 6128/847, 2824/889 is

GCF of Numerators i.e. for 6128,2824 is 8

LCM of denominators i.e. for 847,889 is 107569.

Thus, GCF of Fractions is 8/107569.Finally, GCF of Fractions for 6128/847, 2824/889 is 8/107569.