Greatest Common Factor of 6580/699, 8785/3385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6580/699, 8785/3385

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 6580/699,8785/3385

Given fractions are 6580/699,8785/3385

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 6580,8785

Greatest Common Factor of Numerators i.e. GCF of 6580,8785 is 35 .

LCM of Denominators means LCM of 699,3385 as per the given fractions.

LCM of 699,3385 is 2366115 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6580,8785

GCF of Fractions 6580/699,8785/3385 is 35/2366115

5 6580, 8785
7 1316, 1757
188, 251

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

Greatest Common Factor of 6580,8785 By Matching Biggest Common Factor Method

Greatest Common Factor of 6580,8785 By Matching Biggest Common Factor Method

Factors of 6580

List of positive integer factors of 6580 that divides 6580 without a remainder.

1,2,4,5,7,10,14,20,28,35,47,70,94,140,188,235,329,470,658,940,1316,1645,3290,6580

Factors of 8785

List of positive integer factors of 8785 that divides 8785 without a remainder.

1,5,7,35,251,1255,1757,8785

Greatest Common Factor

We found the factors 6580,8785 . The biggest common factor number is the GCF number.
So the greatest common factor 6580,8785 is 35.

Lets's calculate LCM of 699,3385

Given numbers has no common factors except 1. So, there LCM is their product i.e 2366115

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/2366115

Therefore, the GCF of Fractions 6580/699,8785/3385 is 35/2366115

Least Common Multiple of 699,3385 with GCF Formula

Least Common Multiple of 699,3385 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 699,3385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,3385) = 1

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

GCF(699,3385) x common factors =1 x 1 = 1

LCM(699,3385) = ( 699 × 3385 ) / 1

LCM(699,3385) = 2366115 / 1

LCM(699,3385) = 2366115


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 6580/699, 8785/3385

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 6580/699, 8785/3385?

Answer: GCF of Numerators as per given numbers 6580/699, 8785/3385 is

GCF of Numerators i.e. for 6580,8785 is 35

LCM of denominators i.e. for 699,3385 is 2366115.

Thus, GCF of Fractions is 35/2366115.Finally, GCF of Fractions for 6580/699, 8785/3385 is 35/2366115.