Greatest Common Factor of 1409/825, 6643/7505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1409/825, 6643/7505

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 1409/825,6643/7505

Given fractions are 1409/825,6643/7505

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 1409,6643

Greatest Common Factor of Numerators i.e. GCF of 1409,6643 is 1 .

LCM of Denominators means LCM of 825,7505 as per the given fractions.

LCM of 825,7505 is 1238325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1409,6643

GCF of Fractions 1409/825,6643/7505 is 1/1238325

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

Greatest Common Factor of 1409,6643 By Matching Biggest Common Factor Method

Greatest Common Factor of 1409,6643 By Matching Biggest Common Factor Method

Factors of 1409

List of positive integer factors of 1409 that divides 1409 without a remainder.

1,1409

Factors of 6643

List of positive integer factors of 6643 that divides 6643 without a remainder.

1,7,13,73,91,511,949,6643

Greatest Common Factor

We found the factors 1409,6643 . The biggest common factor number is the GCF number.
So the greatest common factor 1409,6643 is 1.

Lets's calculate LCM of 825,7505

5 825, 7505
165, 1501

∴ So the LCM of the given numbers is 5 x 165 x 1501 = 1238325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1238325

Therefore, the GCF of Fractions 1409/825,6643/7505 is 1/1238325

Least Common Multiple of 825,7505 with GCF Formula

Least Common Multiple of 825,7505 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 825,7505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,7505) = 5

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

GCF(825,7505) x common factors =5 x 1 = 5

LCM(825,7505) = ( 825 × 7505 ) / 5

LCM(825,7505) = 6191625 / 5

LCM(825,7505) = 1238325


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 1409/825, 6643/7505

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 1409/825, 6643/7505?

Answer: GCF of Numerators as per given numbers 1409/825, 6643/7505 is

GCF of Numerators i.e. for 1409,6643 is 1

LCM of denominators i.e. for 825,7505 is 1238325.

Thus, GCF of Fractions is 1/1238325.Finally, GCF of Fractions for 1409/825, 6643/7505 is 1/1238325.