Greatest Common Factor of 2569/142, 8240/6505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2569/142, 8240/6505

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 2569/142,8240/6505

Given fractions are 2569/142,8240/6505

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 2569,8240

Greatest Common Factor of Numerators i.e. GCF of 2569,8240 is 1 .

LCM of Denominators means LCM of 142,6505 as per the given fractions.

LCM of 142,6505 is 923710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2569,8240

GCF of Fractions 2569/142,8240/6505 is 1/923710

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2569,8240 By Matching Biggest Common Factor Method

Greatest Common Factor of 2569,8240 By Matching Biggest Common Factor Method

Factors of 2569

List of positive integer factors of 2569 that divides 2569 without a remainder.

1,7,367,2569

Factors of 8240

List of positive integer factors of 8240 that divides 8240 without a remainder.

1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240

Greatest Common Factor

We found the factors 2569,8240 . The biggest common factor number is the GCF number.
So the greatest common factor 2569,8240 is 1.

Lets's calculate LCM of 142,6505

Given numbers has no common factors except 1. So, there LCM is their product i.e 923710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/923710

Therefore, the GCF of Fractions 2569/142,8240/6505 is 1/923710

Least Common Multiple of 142,6505 with GCF Formula

Least Common Multiple of 142,6505 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 142,6505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,6505) = 1

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

GCF(142,6505) x common factors =1 x 1 = 1

LCM(142,6505) = ( 142 × 6505 ) / 1

LCM(142,6505) = 923710 / 1

LCM(142,6505) = 923710


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 2569/142, 8240/6505

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 2569/142, 8240/6505?

Answer: GCF of Numerators as per given numbers 2569/142, 8240/6505 is

GCF of Numerators i.e. for 2569,8240 is 1

LCM of denominators i.e. for 142,6505 is 923710.

Thus, GCF of Fractions is 1/923710.Finally, GCF of Fractions for 2569/142, 8240/6505 is 1/923710.