Greatest Common Factor of 899/47, 861/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 899/47, 861/348

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 899/47,861/348

Given fractions are 899/47,861/348

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 899,861

Greatest Common Factor of Numerators i.e. GCF of 899,861 is 1 .

LCM of Denominators means LCM of 47,348 as per the given fractions.

LCM of 47,348 is 16356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 899,861

GCF of Fractions 899/47,861/348 is 1/16356

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

Greatest Common Factor of 899,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,861 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 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 899,861 . The biggest common factor number is the GCF number.
So the greatest common factor 899,861 is 1.


Lets's calculate LCM of 47,348

Given numbers has no common factors except 1. So, there LCM is their product i.e 16356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16356

Therefore, the GCF of Fractions 899/47,861/348 is 1/16356

Least Common Multiple of 47,348 with GCF Formula

Least Common Multiple of 47,348 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 47,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,348) = 1

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

GCF(47,348) x common factors =1 x 1 = 1

LCM(47,348) = ( 47 × 348 ) / 1

LCM(47,348) = 16356 / 1

LCM(47,348) = 16356


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 899/47, 861/348

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 899/47, 861/348?

Answer: GCF of Numerators as per given numbers 899/47, 861/348 is

GCF of Numerators i.e. for 899,861 is 1

LCM of denominators i.e. for 47,348 is 16356.

Thus, GCF of Fractions is 1/16356.Finally, GCF of Fractions for 899/47, 861/348 is 1/16356.