Greatest Common Factor of 1445/413, 7412/5213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1445/413, 7412/5213

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 1445/413,7412/5213

Given fractions are 1445/413,7412/5213

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 1445,7412

Greatest Common Factor of Numerators i.e. GCF of 1445,7412 is 17 .

LCM of Denominators means LCM of 413,5213 as per the given fractions.

LCM of 413,5213 is 2152969 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1445,7412

GCF of Fractions 1445/413,7412/5213 is 17/2152969

17 1445, 7412
85, 436

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 1445,7412 By Matching Biggest Common Factor Method

Greatest Common Factor of 1445,7412 By Matching Biggest Common Factor Method

Factors of 1445

List of positive integer factors of 1445 that divides 1445 without a remainder.

1,5,17,85,289,1445

Factors of 7412

List of positive integer factors of 7412 that divides 7412 without a remainder.

1,2,4,17,34,68,109,218,436,1853,3706,7412

Greatest Common Factor

We found the factors 1445,7412 . The biggest common factor number is the GCF number.
So the greatest common factor 1445,7412 is 17.

Lets's calculate LCM of 413,5213

Given numbers has no common factors except 1. So, there LCM is their product i.e 2152969

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2152969

Therefore, the GCF of Fractions 1445/413,7412/5213 is 17/2152969

Least Common Multiple of 413,5213 with GCF Formula

Least Common Multiple of 413,5213 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 413,5213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,5213) = 1

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

GCF(413,5213) x common factors =1 x 1 = 1

LCM(413,5213) = ( 413 × 5213 ) / 1

LCM(413,5213) = 2152969 / 1

LCM(413,5213) = 2152969


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 1445/413, 7412/5213

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 1445/413, 7412/5213?

Answer: GCF of Numerators as per given numbers 1445/413, 7412/5213 is

GCF of Numerators i.e. for 1445,7412 is 17

LCM of denominators i.e. for 413,5213 is 2152969.

Thus, GCF of Fractions is 17/2152969.Finally, GCF of Fractions for 1445/413, 7412/5213 is 17/2152969.