Greatest Common Factor of 1390/604, 5570/3005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1390/604, 5570/3005

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 1390/604,5570/3005

Given fractions are 1390/604,5570/3005

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 1390,5570

Greatest Common Factor of Numerators i.e. GCF of 1390,5570 is 10 .

LCM of Denominators means LCM of 604,3005 as per the given fractions.

LCM of 604,3005 is 1815020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1390,5570

GCF of Fractions 1390/604,5570/3005 is 10/1815020

2 1390, 5570
5 695, 2785
139, 557

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 1390,5570 By Matching Biggest Common Factor Method

Greatest Common Factor of 1390,5570 By Matching Biggest Common Factor Method

Factors of 1390

List of positive integer factors of 1390 that divides 1390 without a remainder.

1,2,5,10,139,278,695,1390

Factors of 5570

List of positive integer factors of 5570 that divides 5570 without a remainder.

1,2,5,10,557,1114,2785,5570

Greatest Common Factor

We found the factors 1390,5570 . The biggest common factor number is the GCF number.
So the greatest common factor 1390,5570 is 10.

Lets's calculate LCM of 604,3005

Given numbers has no common factors except 1. So, there LCM is their product i.e 1815020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1815020

Therefore, the GCF of Fractions 1390/604,5570/3005 is 10/1815020

Least Common Multiple of 604,3005 with GCF Formula

Least Common Multiple of 604,3005 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 604,3005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,3005) = 1

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

GCF(604,3005) x common factors =1 x 1 = 1

LCM(604,3005) = ( 604 × 3005 ) / 1

LCM(604,3005) = 1815020 / 1

LCM(604,3005) = 1815020


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 1390/604, 5570/3005

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 1390/604, 5570/3005?

Answer: GCF of Numerators as per given numbers 1390/604, 5570/3005 is

GCF of Numerators i.e. for 1390,5570 is 10

LCM of denominators i.e. for 604,3005 is 1815020.

Thus, GCF of Fractions is 10/1815020.Finally, GCF of Fractions for 1390/604, 5570/3005 is 10/1815020.