Greatest Common Factor of 899/74, 160/8207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 899/74, 160/8207

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 899/74,160/8207

Given fractions are 899/74,160/8207

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 899,160

Greatest Common Factor of Numerators i.e. GCF of 899,160 is 1 .

LCM of Denominators means LCM of 74,8207 as per the given fractions.

LCM of 74,8207 is 607318 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 899,160

GCF of Fractions 899/74,160/8207 is 1/607318

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 899,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,160 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 899,160 . The biggest common factor number is the GCF number.
So the greatest common factor 899,160 is 1.


Lets's calculate LCM of 74,8207

Given numbers has no common factors except 1. So, there LCM is their product i.e 607318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/607318

Therefore, the GCF of Fractions 899/74,160/8207 is 1/607318

Least Common Multiple of 74,8207 with GCF Formula

Least Common Multiple of 74,8207 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 74,8207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,8207) = 1

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

GCF(74,8207) x common factors =1 x 1 = 1

LCM(74,8207) = ( 74 × 8207 ) / 1

LCM(74,8207) = 607318 / 1

LCM(74,8207) = 607318


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 899/74, 160/8207

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 899/74, 160/8207?

Answer: GCF of Numerators as per given numbers 899/74, 160/8207 is

GCF of Numerators i.e. for 899,160 is 1

LCM of denominators i.e. for 74,8207 is 607318.

Thus, GCF of Fractions is 1/607318.Finally, GCF of Fractions for 899/74, 160/8207 is 1/607318.