Greatest Common Factor of 6991/283, 1785/9888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6991/283, 1785/9888

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 6991/283,1785/9888

Given fractions are 6991/283,1785/9888

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 6991,1785

Greatest Common Factor of Numerators i.e. GCF of 6991,1785 is 1 .

LCM of Denominators means LCM of 283,9888 as per the given fractions.

LCM of 283,9888 is 2798304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6991,1785

GCF of Fractions 6991/283,1785/9888 is 1/2798304

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

Greatest Common Factor of 6991,1785 By Matching Biggest Common Factor Method

Greatest Common Factor of 6991,1785 By Matching Biggest Common Factor Method

Factors of 6991

List of positive integer factors of 6991 that divides 6991 without a remainder.

1,6991

Factors of 1785

List of positive integer factors of 1785 that divides 1785 without a remainder.

1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785

Greatest Common Factor

We found the factors 6991,1785 . The biggest common factor number is the GCF number.
So the greatest common factor 6991,1785 is 1.

Lets's calculate LCM of 283,9888

Given numbers has no common factors except 1. So, there LCM is their product i.e 2798304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2798304

Therefore, the GCF of Fractions 6991/283,1785/9888 is 1/2798304

Least Common Multiple of 283,9888 with GCF Formula

Least Common Multiple of 283,9888 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 283,9888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,9888) = 1

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

GCF(283,9888) x common factors =1 x 1 = 1

LCM(283,9888) = ( 283 × 9888 ) / 1

LCM(283,9888) = 2798304 / 1

LCM(283,9888) = 2798304


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 6991/283, 1785/9888

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 6991/283, 1785/9888?

Answer: GCF of Numerators as per given numbers 6991/283, 1785/9888 is

GCF of Numerators i.e. for 6991,1785 is 1

LCM of denominators i.e. for 283,9888 is 2798304.

Thus, GCF of Fractions is 1/2798304.Finally, GCF of Fractions for 6991/283, 1785/9888 is 1/2798304.