Greatest Common Factor of 6075/63, 6390/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6075/63, 6390/683

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 6075/63,6390/683

Given fractions are 6075/63,6390/683

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 6075,6390

Greatest Common Factor of Numerators i.e. GCF of 6075,6390 is 45 .

LCM of Denominators means LCM of 63,683 as per the given fractions.

LCM of 63,683 is 43029 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6075,6390

GCF of Fractions 6075/63,6390/683 is 45/43029

3 6075, 6390
3 2025, 2130
5 675, 710
135, 142

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Greatest Common Factor of 6075,6390 By Matching Biggest Common Factor Method

Greatest Common Factor of 6075,6390 By Matching Biggest Common Factor Method

Factors of 6075

List of positive integer factors of 6075 that divides 6075 without a remainder.

1,3,5,9,15,25,27,45,75,81,135,225,243,405,675,1215,2025,6075

Factors of 6390

List of positive integer factors of 6390 that divides 6390 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390

Greatest Common Factor

We found the factors 6075,6390 . The biggest common factor number is the GCF number.
So the greatest common factor 6075,6390 is 45.

Lets's calculate LCM of 63,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 43029

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/43029

Therefore, the GCF of Fractions 6075/63,6390/683 is 45/43029

Least Common Multiple of 63,683 with GCF Formula

Least Common Multiple of 63,683 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 63,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,683) = 1

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

GCF(63,683) x common factors =1 x 1 = 1

LCM(63,683) = ( 63 × 683 ) / 1

LCM(63,683) = 43029 / 1

LCM(63,683) = 43029


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 6075/63, 6390/683

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 6075/63, 6390/683?

Answer: GCF of Numerators as per given numbers 6075/63, 6390/683 is

GCF of Numerators i.e. for 6075,6390 is 45

LCM of denominators i.e. for 63,683 is 43029.

Thus, GCF of Fractions is 45/43029.Finally, GCF of Fractions for 6075/63, 6390/683 is 45/43029.