Greatest Common Factor of 1715/778, 3225/1739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1715/778, 3225/1739

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 1715/778,3225/1739

Given fractions are 1715/778,3225/1739

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 1715,3225

Greatest Common Factor of Numerators i.e. GCF of 1715,3225 is 5 .

LCM of Denominators means LCM of 778,1739 as per the given fractions.

LCM of 778,1739 is 1352942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1715,3225

GCF of Fractions 1715/778,3225/1739 is 5/1352942

5 1715, 3225
343, 645

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

Greatest Common Factor of 1715,3225 By Matching Biggest Common Factor Method

Greatest Common Factor of 1715,3225 By Matching Biggest Common Factor Method

Factors of 1715

List of positive integer factors of 1715 that divides 1715 without a remainder.

1,5,7,35,49,245,343,1715

Factors of 3225

List of positive integer factors of 3225 that divides 3225 without a remainder.

1,3,5,15,25,43,75,129,215,645,1075,3225

Greatest Common Factor

We found the factors 1715,3225 . The biggest common factor number is the GCF number.
So the greatest common factor 1715,3225 is 5.

Lets's calculate LCM of 778,1739

Given numbers has no common factors except 1. So, there LCM is their product i.e 1352942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1352942

Therefore, the GCF of Fractions 1715/778,3225/1739 is 5/1352942

Least Common Multiple of 778,1739 with GCF Formula

Least Common Multiple of 778,1739 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 778,1739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,1739) = 1

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

GCF(778,1739) x common factors =1 x 1 = 1

LCM(778,1739) = ( 778 × 1739 ) / 1

LCM(778,1739) = 1352942 / 1

LCM(778,1739) = 1352942


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 1715/778, 3225/1739

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 1715/778, 3225/1739?

Answer: GCF of Numerators as per given numbers 1715/778, 3225/1739 is

GCF of Numerators i.e. for 1715,3225 is 5

LCM of denominators i.e. for 778,1739 is 1352942.

Thus, GCF of Fractions is 5/1352942.Finally, GCF of Fractions for 1715/778, 3225/1739 is 5/1352942.