Greatest Common Factor of 1725/61, 9610/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1725/61, 9610/739

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 1725/61,9610/739

Given fractions are 1725/61,9610/739

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 1725,9610

Greatest Common Factor of Numerators i.e. GCF of 1725,9610 is 5 .

LCM of Denominators means LCM of 61,739 as per the given fractions.

LCM of 61,739 is 45079 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1725,9610

GCF of Fractions 1725/61,9610/739 is 5/45079

5 1725, 9610
345, 1922

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1725,9610 By Matching Biggest Common Factor Method

Greatest Common Factor of 1725,9610 By Matching Biggest Common Factor Method

Factors of 1725

List of positive integer factors of 1725 that divides 1725 without a remainder.

1,3,5,15,23,25,69,75,115,345,575,1725

Factors of 9610

List of positive integer factors of 9610 that divides 9610 without a remainder.

1,2,5,10,31,62,155,310,961,1922,4805,9610

Greatest Common Factor

We found the factors 1725,9610 . The biggest common factor number is the GCF number.
So the greatest common factor 1725,9610 is 5.

Lets's calculate LCM of 61,739

Given numbers has no common factors except 1. So, there LCM is their product i.e 45079

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/45079

Therefore, the GCF of Fractions 1725/61,9610/739 is 5/45079

Least Common Multiple of 61,739 with GCF Formula

Least Common Multiple of 61,739 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 61,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,739) = 1

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

GCF(61,739) x common factors =1 x 1 = 1

LCM(61,739) = ( 61 × 739 ) / 1

LCM(61,739) = 45079 / 1

LCM(61,739) = 45079


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 1725/61, 9610/739

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 1725/61, 9610/739?

Answer: GCF of Numerators as per given numbers 1725/61, 9610/739 is

GCF of Numerators i.e. for 1725,9610 is 5

LCM of denominators i.e. for 61,739 is 45079.

Thus, GCF of Fractions is 5/45079.Finally, GCF of Fractions for 1725/61, 9610/739 is 5/45079.