Greatest Common Factor of 3269/622, 2575/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3269/622, 2575/688

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 3269/622,2575/688

Given fractions are 3269/622,2575/688

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 3269,2575

Greatest Common Factor of Numerators i.e. GCF of 3269,2575 is 1 .

LCM of Denominators means LCM of 622,688 as per the given fractions.

LCM of 622,688 is 213968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3269,2575

GCF of Fractions 3269/622,2575/688 is 1/213968

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

Greatest Common Factor of 3269,2575 By Matching Biggest Common Factor Method

Greatest Common Factor of 3269,2575 By Matching Biggest Common Factor Method

Factors of 3269

List of positive integer factors of 3269 that divides 3269 without a remainder.

1,7,467,3269

Factors of 2575

List of positive integer factors of 2575 that divides 2575 without a remainder.

1,5,25,103,515,2575

Greatest Common Factor

We found the factors 3269,2575 . The biggest common factor number is the GCF number.
So the greatest common factor 3269,2575 is 1.

Lets's calculate LCM of 622,688

2 622, 688
311, 344

∴ So the LCM of the given numbers is 2 x 311 x 344 = 213968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213968

Therefore, the GCF of Fractions 3269/622,2575/688 is 1/213968

Least Common Multiple of 622,688 with GCF Formula

Least Common Multiple of 622,688 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 622,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,688) = 2

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

GCF(622,688) x common factors =2 x 1 = 2

LCM(622,688) = ( 622 × 688 ) / 2

LCM(622,688) = 427936 / 2

LCM(622,688) = 213968


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 3269/622, 2575/688

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 3269/622, 2575/688?

Answer: GCF of Numerators as per given numbers 3269/622, 2575/688 is

GCF of Numerators i.e. for 3269,2575 is 1

LCM of denominators i.e. for 622,688 is 213968.

Thus, GCF of Fractions is 1/213968.Finally, GCF of Fractions for 3269/622, 2575/688 is 1/213968.