Greatest Common Factor of 1715/620, 6525/4143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1715/620, 6525/4143

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 1715/620,6525/4143

Given fractions are 1715/620,6525/4143

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 1715,6525

Greatest Common Factor of Numerators i.e. GCF of 1715,6525 is 5 .

LCM of Denominators means LCM of 620,4143 as per the given fractions.

LCM of 620,4143 is 2568660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1715,6525

GCF of Fractions 1715/620,6525/4143 is 5/2568660

5 1715, 6525
343, 1305

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

Greatest Common Factor of 1715,6525 By Matching Biggest Common Factor Method

Greatest Common Factor of 1715,6525 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 6525

List of positive integer factors of 6525 that divides 6525 without a remainder.

1,3,5,9,15,25,29,45,75,87,145,225,261,435,725,1305,2175,6525

Greatest Common Factor

We found the factors 1715,6525 . The biggest common factor number is the GCF number.
So the greatest common factor 1715,6525 is 5.

Lets's calculate LCM of 620,4143

Given numbers has no common factors except 1. So, there LCM is their product i.e 2568660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2568660

Therefore, the GCF of Fractions 1715/620,6525/4143 is 5/2568660

Least Common Multiple of 620,4143 with GCF Formula

Least Common Multiple of 620,4143 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 620,4143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,4143) = 1

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

GCF(620,4143) x common factors =1 x 1 = 1

LCM(620,4143) = ( 620 × 4143 ) / 1

LCM(620,4143) = 2568660 / 1

LCM(620,4143) = 2568660


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 1715/620, 6525/4143

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 1715/620, 6525/4143?

Answer: GCF of Numerators as per given numbers 1715/620, 6525/4143 is

GCF of Numerators i.e. for 1715,6525 is 5

LCM of denominators i.e. for 620,4143 is 2568660.

Thus, GCF of Fractions is 5/2568660.Finally, GCF of Fractions for 1715/620, 6525/4143 is 5/2568660.