Greatest Common Factor of 8470/607, 5985/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8470/607, 5985/199

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 8470/607,5985/199

Given fractions are 8470/607,5985/199

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 8470,5985

Greatest Common Factor of Numerators i.e. GCF of 8470,5985 is 35 .

LCM of Denominators means LCM of 607,199 as per the given fractions.

LCM of 607,199 is 120793 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8470,5985

GCF of Fractions 8470/607,5985/199 is 35/120793

5 8470, 5985
7 1694, 1197
242, 171

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

Greatest Common Factor of 8470,5985 By Matching Biggest Common Factor Method

Greatest Common Factor of 8470,5985 By Matching Biggest Common Factor Method

Factors of 8470

List of positive integer factors of 8470 that divides 8470 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470

Factors of 5985

List of positive integer factors of 5985 that divides 5985 without a remainder.

1,3,5,7,9,15,19,21,35,45,57,63,95,105,133,171,285,315,399,665,855,1197,1995,5985

Greatest Common Factor

We found the factors 8470,5985 . The biggest common factor number is the GCF number.
So the greatest common factor 8470,5985 is 35.

Lets's calculate LCM of 607,199

Given numbers has no common factors except 1. So, there LCM is their product i.e 120793

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/120793

Therefore, the GCF of Fractions 8470/607,5985/199 is 35/120793

Least Common Multiple of 607,199 with GCF Formula

Least Common Multiple of 607,199 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 607,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,199) = 1

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

GCF(607,199) x common factors =1 x 1 = 1

LCM(607,199) = ( 607 × 199 ) / 1

LCM(607,199) = 120793 / 1

LCM(607,199) = 120793


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 8470/607, 5985/199

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 8470/607, 5985/199?

Answer: GCF of Numerators as per given numbers 8470/607, 5985/199 is

GCF of Numerators i.e. for 8470,5985 is 35

LCM of denominators i.e. for 607,199 is 120793.

Thus, GCF of Fractions is 35/120793.Finally, GCF of Fractions for 8470/607, 5985/199 is 35/120793.