Greatest Common Factor of 5985/548, 1568/9605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5985/548, 1568/9605

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 5985/548,1568/9605

Given fractions are 5985/548,1568/9605

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 5985,1568

Greatest Common Factor of Numerators i.e. GCF of 5985,1568 is 7 .

LCM of Denominators means LCM of 548,9605 as per the given fractions.

LCM of 548,9605 is 5263540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5985,1568

GCF of Fractions 5985/548,1568/9605 is 7/5263540

7 5985, 1568
855, 224

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5985,1568 By Matching Biggest Common Factor Method

Greatest Common Factor of 5985,1568 By Matching Biggest Common Factor Method

Factors of 5985

List of positive integer factors of 5985 that divides 5985 without a remainder.

1,3,5,7,9,15,19,21,35,45,57,63,95,105,133,171,285,315,399,665,855,1197,1995,5985

Factors of 1568

List of positive integer factors of 1568 that divides 1568 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,98,112,196,224,392,784,1568

Greatest Common Factor

We found the factors 5985,1568 . The biggest common factor number is the GCF number.
So the greatest common factor 5985,1568 is 7.

Lets's calculate LCM of 548,9605

Given numbers has no common factors except 1. So, there LCM is their product i.e 5263540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5263540

Therefore, the GCF of Fractions 5985/548,1568/9605 is 7/5263540

Least Common Multiple of 548,9605 with GCF Formula

Least Common Multiple of 548,9605 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 548,9605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,9605) = 1

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

GCF(548,9605) x common factors =1 x 1 = 1

LCM(548,9605) = ( 548 × 9605 ) / 1

LCM(548,9605) = 5263540 / 1

LCM(548,9605) = 5263540


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 5985/548, 1568/9605

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 5985/548, 1568/9605?

Answer: GCF of Numerators as per given numbers 5985/548, 1568/9605 is

GCF of Numerators i.e. for 5985,1568 is 7

LCM of denominators i.e. for 548,9605 is 5263540.

Thus, GCF of Fractions is 7/5263540.Finally, GCF of Fractions for 5985/548, 1568/9605 is 7/5263540.