Greatest Common Factor of 685/984, 8170/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 685/984, 8170/852

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 685/984,8170/852

Given fractions are 685/984,8170/852

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 685,8170

Greatest Common Factor of Numerators i.e. GCF of 685,8170 is 5 .

LCM of Denominators means LCM of 984,852 as per the given fractions.

LCM of 984,852 is 69864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 685,8170

GCF of Fractions 685/984,8170/852 is 5/69864

5 685, 8170
137, 1634

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 685,8170 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,8170 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 8170

List of positive integer factors of 8170 that divides 8170 without a remainder.

1,2,5,10,19,38,43,86,95,190,215,430,817,1634,4085,8170

Greatest Common Factor

We found the factors 685,8170 . The biggest common factor number is the GCF number.
So the greatest common factor 685,8170 is 5.

Lets's calculate LCM of 984,852

2 984, 852
2 492, 426
3 246, 213
82, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 82 x 71 = 69864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/69864

Therefore, the GCF of Fractions 685/984,8170/852 is 5/69864

Least Common Multiple of 984,852 with GCF Formula

Least Common Multiple of 984,852 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 984,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,852) = 12

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

GCF(984,852) x common factors =12 x 1 = 12

LCM(984,852) = ( 984 × 852 ) / 12

LCM(984,852) = 838368 / 12

LCM(984,852) = 69864


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 685/984, 8170/852

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 685/984, 8170/852?

Answer: GCF of Numerators as per given numbers 685/984, 8170/852 is

GCF of Numerators i.e. for 685,8170 is 5

LCM of denominators i.e. for 984,852 is 69864.

Thus, GCF of Fractions is 5/69864.Finally, GCF of Fractions for 685/984, 8170/852 is 5/69864.