Greatest Common Factor of 1490/685, 5802/1316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1490/685, 5802/1316

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 1490/685,5802/1316

Given fractions are 1490/685,5802/1316

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 1490,5802

Greatest Common Factor of Numerators i.e. GCF of 1490,5802 is 2 .

LCM of Denominators means LCM of 685,1316 as per the given fractions.

LCM of 685,1316 is 901460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1490,5802

GCF of Fractions 1490/685,5802/1316 is 2/901460

2 1490, 5802
745, 2901

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1490,5802 By Matching Biggest Common Factor Method

Greatest Common Factor of 1490,5802 By Matching Biggest Common Factor Method

Factors of 1490

List of positive integer factors of 1490 that divides 1490 without a remainder.

1,2,5,10,149,298,745,1490

Factors of 5802

List of positive integer factors of 5802 that divides 5802 without a remainder.

1,2,3,6,967,1934,2901,5802

Greatest Common Factor

We found the factors 1490,5802 . The biggest common factor number is the GCF number.
So the greatest common factor 1490,5802 is 2.

Lets's calculate LCM of 685,1316

Given numbers has no common factors except 1. So, there LCM is their product i.e 901460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/901460

Therefore, the GCF of Fractions 1490/685,5802/1316 is 2/901460

Least Common Multiple of 685,1316 with GCF Formula

Least Common Multiple of 685,1316 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 685,1316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,1316) = 1

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

GCF(685,1316) x common factors =1 x 1 = 1

LCM(685,1316) = ( 685 × 1316 ) / 1

LCM(685,1316) = 901460 / 1

LCM(685,1316) = 901460


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 1490/685, 5802/1316

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 1490/685, 5802/1316?

Answer: GCF of Numerators as per given numbers 1490/685, 5802/1316 is

GCF of Numerators i.e. for 1490,5802 is 2

LCM of denominators i.e. for 685,1316 is 901460.

Thus, GCF of Fractions is 2/901460.Finally, GCF of Fractions for 1490/685, 5802/1316 is 2/901460.