Greatest Common Factor of 1740/804, 9774/5290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1740/804, 9774/5290

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 1740/804,9774/5290

Given fractions are 1740/804,9774/5290

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 1740,9774

Greatest Common Factor of Numerators i.e. GCF of 1740,9774 is 6 .

LCM of Denominators means LCM of 804,5290 as per the given fractions.

LCM of 804,5290 is 2126580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1740,9774

GCF of Fractions 1740/804,9774/5290 is 6/2126580

2 1740, 9774
3 870, 4887
290, 1629

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1740,9774 By Matching Biggest Common Factor Method

Greatest Common Factor of 1740,9774 By Matching Biggest Common Factor Method

Factors of 1740

List of positive integer factors of 1740 that divides 1740 without a remainder.

1,2,3,4,5,6,10,12,15,20,29,30,58,60,87,116,145,174,290,348,435,580,870,1740

Factors of 9774

List of positive integer factors of 9774 that divides 9774 without a remainder.

1,2,3,6,9,18,27,54,181,362,543,1086,1629,3258,4887,9774

Greatest Common Factor

We found the factors 1740,9774 . The biggest common factor number is the GCF number.
So the greatest common factor 1740,9774 is 6.

Lets's calculate LCM of 804,5290

2 804, 5290
402, 2645

∴ So the LCM of the given numbers is 2 x 402 x 2645 = 2126580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2126580

Therefore, the GCF of Fractions 1740/804,9774/5290 is 6/2126580

Least Common Multiple of 804,5290 with GCF Formula

Least Common Multiple of 804,5290 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 804,5290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,5290) = 2

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

GCF(804,5290) x common factors =2 x 1 = 2

LCM(804,5290) = ( 804 × 5290 ) / 2

LCM(804,5290) = 4253160 / 2

LCM(804,5290) = 2126580


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 1740/804, 9774/5290

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 1740/804, 9774/5290?

Answer: GCF of Numerators as per given numbers 1740/804, 9774/5290 is

GCF of Numerators i.e. for 1740,9774 is 6

LCM of denominators i.e. for 804,5290 is 2126580.

Thus, GCF of Fractions is 6/2126580.Finally, GCF of Fractions for 1740/804, 9774/5290 is 6/2126580.