Greatest Common Factor of 1643/743, 2245/9490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1643/743, 2245/9490

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 1643/743,2245/9490

Given fractions are 1643/743,2245/9490

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 1643,2245

Greatest Common Factor of Numerators i.e. GCF of 1643,2245 is 1 .

LCM of Denominators means LCM of 743,9490 as per the given fractions.

LCM of 743,9490 is 7051070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1643,2245

GCF of Fractions 1643/743,2245/9490 is 1/7051070

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

Greatest Common Factor of 1643,2245 By Matching Biggest Common Factor Method

Greatest Common Factor of 1643,2245 By Matching Biggest Common Factor Method

Factors of 1643

List of positive integer factors of 1643 that divides 1643 without a remainder.

1,31,53,1643

Factors of 2245

List of positive integer factors of 2245 that divides 2245 without a remainder.

1,5,449,2245

Greatest Common Factor

We found the factors 1643,2245 . The biggest common factor number is the GCF number.
So the greatest common factor 1643,2245 is 1.

Lets's calculate LCM of 743,9490

Given numbers has no common factors except 1. So, there LCM is their product i.e 7051070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7051070

Therefore, the GCF of Fractions 1643/743,2245/9490 is 1/7051070

Least Common Multiple of 743,9490 with GCF Formula

Least Common Multiple of 743,9490 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 743,9490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,9490) = 1

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

GCF(743,9490) x common factors =1 x 1 = 1

LCM(743,9490) = ( 743 × 9490 ) / 1

LCM(743,9490) = 7051070 / 1

LCM(743,9490) = 7051070


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 1643/743, 2245/9490

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 1643/743, 2245/9490?

Answer: GCF of Numerators as per given numbers 1643/743, 2245/9490 is

GCF of Numerators i.e. for 1643,2245 is 1

LCM of denominators i.e. for 743,9490 is 7051070.

Thus, GCF of Fractions is 1/7051070.Finally, GCF of Fractions for 1643/743, 2245/9490 is 1/7051070.