Greatest Common Factor of 2465/890, 3221/7551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2465/890, 3221/7551

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 2465/890,3221/7551

Given fractions are 2465/890,3221/7551

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 2465,3221

Greatest Common Factor of Numerators i.e. GCF of 2465,3221 is 1 .

LCM of Denominators means LCM of 890,7551 as per the given fractions.

LCM of 890,7551 is 6720390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2465,3221

GCF of Fractions 2465/890,3221/7551 is 1/6720390

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

Greatest Common Factor of 2465,3221 By Matching Biggest Common Factor Method

Greatest Common Factor of 2465,3221 By Matching Biggest Common Factor Method

Factors of 2465

List of positive integer factors of 2465 that divides 2465 without a remainder.

1,5,17,29,85,145,493,2465

Factors of 3221

List of positive integer factors of 3221 that divides 3221 without a remainder.

1,3221

Greatest Common Factor

We found the factors 2465,3221 . The biggest common factor number is the GCF number.
So the greatest common factor 2465,3221 is 1.

Lets's calculate LCM of 890,7551

Given numbers has no common factors except 1. So, there LCM is their product i.e 6720390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6720390

Therefore, the GCF of Fractions 2465/890,3221/7551 is 1/6720390

Least Common Multiple of 890,7551 with GCF Formula

Least Common Multiple of 890,7551 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 890,7551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,7551) = 1

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

GCF(890,7551) x common factors =1 x 1 = 1

LCM(890,7551) = ( 890 × 7551 ) / 1

LCM(890,7551) = 6720390 / 1

LCM(890,7551) = 6720390


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 2465/890, 3221/7551

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 2465/890, 3221/7551?

Answer: GCF of Numerators as per given numbers 2465/890, 3221/7551 is

GCF of Numerators i.e. for 2465,3221 is 1

LCM of denominators i.e. for 890,7551 is 6720390.

Thus, GCF of Fractions is 1/6720390.Finally, GCF of Fractions for 2465/890, 3221/7551 is 1/6720390.