Greatest Common Factor of 6300/839, 5586/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6300/839, 5586/355

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 6300/839,5586/355

Given fractions are 6300/839,5586/355

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 6300,5586

Greatest Common Factor of Numerators i.e. GCF of 6300,5586 is 42 .

LCM of Denominators means LCM of 839,355 as per the given fractions.

LCM of 839,355 is 297845 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6300,5586

GCF of Fractions 6300/839,5586/355 is 42/297845

2 6300, 5586
3 3150, 2793
7 1050, 931
150, 133

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 6300,5586 By Matching Biggest Common Factor Method

Greatest Common Factor of 6300,5586 By Matching Biggest Common Factor Method

Factors of 6300

List of positive integer factors of 6300 that divides 6300 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,25,28,30,35,36,42,45,50,60,63,70,75,84,90,100,105,126,140,150,175,180,210,225,252,300,315,350,420,450,525,630,700,900,1050,1260,1575,2100,3150,6300

Factors of 5586

List of positive integer factors of 5586 that divides 5586 without a remainder.

1,2,3,6,7,14,19,21,38,42,49,57,98,114,133,147,266,294,399,798,931,1862,2793,5586

Greatest Common Factor

We found the factors 6300,5586 . The biggest common factor number is the GCF number.
So the greatest common factor 6300,5586 is 42.

Lets's calculate LCM of 839,355

Given numbers has no common factors except 1. So, there LCM is their product i.e 297845

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/297845

Therefore, the GCF of Fractions 6300/839,5586/355 is 42/297845

Least Common Multiple of 839,355 with GCF Formula

Least Common Multiple of 839,355 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 839,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,355) = 1

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

GCF(839,355) x common factors =1 x 1 = 1

LCM(839,355) = ( 839 × 355 ) / 1

LCM(839,355) = 297845 / 1

LCM(839,355) = 297845


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 6300/839, 5586/355

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 6300/839, 5586/355?

Answer: GCF of Numerators as per given numbers 6300/839, 5586/355 is

GCF of Numerators i.e. for 6300,5586 is 42

LCM of denominators i.e. for 839,355 is 297845.

Thus, GCF of Fractions is 42/297845.Finally, GCF of Fractions for 6300/839, 5586/355 is 42/297845.