Greatest Common Factor of 665/39, 490/8789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 665/39, 490/8789

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 665/39,490/8789

Given fractions are 665/39,490/8789

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 665,490

Greatest Common Factor of Numerators i.e. GCF of 665,490 is 35 .

LCM of Denominators means LCM of 39,8789 as per the given fractions.

LCM of 39,8789 is 342771 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 665,490

GCF of Fractions 665/39,490/8789 is 35/342771

5 665, 490
7 133, 98
19, 14

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 665,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,490 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 665,490 . The biggest common factor number is the GCF number.
So the greatest common factor 665,490 is 35.

Lets's calculate LCM of 39,8789

Given numbers has no common factors except 1. So, there LCM is their product i.e 342771

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/342771

Therefore, the GCF of Fractions 665/39,490/8789 is 35/342771

Least Common Multiple of 39,8789 with GCF Formula

Least Common Multiple of 39,8789 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 39,8789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,8789) = 1

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

GCF(39,8789) x common factors =1 x 1 = 1

LCM(39,8789) = ( 39 × 8789 ) / 1

LCM(39,8789) = 342771 / 1

LCM(39,8789) = 342771


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 665/39, 490/8789

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 665/39, 490/8789?

Answer: GCF of Numerators as per given numbers 665/39, 490/8789 is

GCF of Numerators i.e. for 665,490 is 35

LCM of denominators i.e. for 39,8789 is 342771.

Thus, GCF of Fractions is 35/342771.Finally, GCF of Fractions for 665/39, 490/8789 is 35/342771.