Greatest Common Factor of 6075/661, 4968/4645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6075/661, 4968/4645

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 6075/661,4968/4645

Given fractions are 6075/661,4968/4645

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 6075,4968

Greatest Common Factor of Numerators i.e. GCF of 6075,4968 is 27 .

LCM of Denominators means LCM of 661,4645 as per the given fractions.

LCM of 661,4645 is 3070345 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6075,4968

GCF of Fractions 6075/661,4968/4645 is 27/3070345

3 6075, 4968
3 2025, 1656
3 675, 552
225, 184

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 6075,4968 By Matching Biggest Common Factor Method

Greatest Common Factor of 6075,4968 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 4968

List of positive integer factors of 4968 that divides 4968 without a remainder.

1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968

Greatest Common Factor

We found the factors 6075,4968 . The biggest common factor number is the GCF number.
So the greatest common factor 6075,4968 is 27.

Lets's calculate LCM of 661,4645

Given numbers has no common factors except 1. So, there LCM is their product i.e 3070345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/3070345

Therefore, the GCF of Fractions 6075/661,4968/4645 is 27/3070345

Least Common Multiple of 661,4645 with GCF Formula

Least Common Multiple of 661,4645 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 661,4645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,4645) = 1

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

GCF(661,4645) x common factors =1 x 1 = 1

LCM(661,4645) = ( 661 × 4645 ) / 1

LCM(661,4645) = 3070345 / 1

LCM(661,4645) = 3070345


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 6075/661, 4968/4645

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 6075/661, 4968/4645?

Answer: GCF of Numerators as per given numbers 6075/661, 4968/4645 is

GCF of Numerators i.e. for 6075,4968 is 27

LCM of denominators i.e. for 661,4645 is 3070345.

Thus, GCF of Fractions is 27/3070345.Finally, GCF of Fractions for 6075/661, 4968/4645 is 27/3070345.