Greatest Common Factor of 1160/86, 6490/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1160/86, 6490/594

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 1160/86,6490/594

Given fractions are 1160/86,6490/594

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 1160,6490

Greatest Common Factor of Numerators i.e. GCF of 1160,6490 is 10 .

LCM of Denominators means LCM of 86,594 as per the given fractions.

LCM of 86,594 is 25542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1160,6490

GCF of Fractions 1160/86,6490/594 is 10/25542

2 1160, 6490
5 580, 3245
116, 649

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

Greatest Common Factor of 1160,6490 By Matching Biggest Common Factor Method

Greatest Common Factor of 1160,6490 By Matching Biggest Common Factor Method

Factors of 1160

List of positive integer factors of 1160 that divides 1160 without a remainder.

1,2,4,5,8,10,20,29,40,58,116,145,232,290,580,1160

Factors of 6490

List of positive integer factors of 6490 that divides 6490 without a remainder.

1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490

Greatest Common Factor

We found the factors 1160,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 1160,6490 is 10.

Lets's calculate LCM of 86,594

2 86, 594
43, 297

∴ So the LCM of the given numbers is 2 x 43 x 297 = 25542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/25542

Therefore, the GCF of Fractions 1160/86,6490/594 is 10/25542

Least Common Multiple of 86,594 with GCF Formula

Least Common Multiple of 86,594 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 86,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,594) = 2

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

GCF(86,594) x common factors =2 x 1 = 2

LCM(86,594) = ( 86 × 594 ) / 2

LCM(86,594) = 51084 / 2

LCM(86,594) = 25542


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 1160/86, 6490/594

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 1160/86, 6490/594?

Answer: GCF of Numerators as per given numbers 1160/86, 6490/594 is

GCF of Numerators i.e. for 1160,6490 is 10

LCM of denominators i.e. for 86,594 is 25542.

Thus, GCF of Fractions is 10/25542.Finally, GCF of Fractions for 1160/86, 6490/594 is 10/25542.