Greatest Common Factor of 6645/563, 1465/1901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6645/563, 1465/1901

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 6645/563,1465/1901

Given fractions are 6645/563,1465/1901

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 6645,1465

Greatest Common Factor of Numerators i.e. GCF of 6645,1465 is 5 .

LCM of Denominators means LCM of 563,1901 as per the given fractions.

LCM of 563,1901 is 1070263 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6645,1465

GCF of Fractions 6645/563,1465/1901 is 5/1070263

5 6645, 1465
1329, 293

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

Greatest Common Factor of 6645,1465 By Matching Biggest Common Factor Method

Greatest Common Factor of 6645,1465 By Matching Biggest Common Factor Method

Factors of 6645

List of positive integer factors of 6645 that divides 6645 without a remainder.

1,3,5,15,443,1329,2215,6645

Factors of 1465

List of positive integer factors of 1465 that divides 1465 without a remainder.

1,5,293,1465

Greatest Common Factor

We found the factors 6645,1465 . The biggest common factor number is the GCF number.
So the greatest common factor 6645,1465 is 5.

Lets's calculate LCM of 563,1901

Given numbers has no common factors except 1. So, there LCM is their product i.e 1070263

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1070263

Therefore, the GCF of Fractions 6645/563,1465/1901 is 5/1070263

Least Common Multiple of 563,1901 with GCF Formula

Least Common Multiple of 563,1901 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 563,1901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,1901) = 1

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

GCF(563,1901) x common factors =1 x 1 = 1

LCM(563,1901) = ( 563 × 1901 ) / 1

LCM(563,1901) = 1070263 / 1

LCM(563,1901) = 1070263


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 6645/563, 1465/1901

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 6645/563, 1465/1901?

Answer: GCF of Numerators as per given numbers 6645/563, 1465/1901 is

GCF of Numerators i.e. for 6645,1465 is 5

LCM of denominators i.e. for 563,1901 is 1070263.

Thus, GCF of Fractions is 5/1070263.Finally, GCF of Fractions for 6645/563, 1465/1901 is 5/1070263.