Greatest Common Factor of 299/843, 920/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 299/843, 920/949

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 299/843,920/949

Given fractions are 299/843,920/949

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 299,920

Greatest Common Factor of Numerators i.e. GCF of 299,920 is 23 .

LCM of Denominators means LCM of 843,949 as per the given fractions.

LCM of 843,949 is 800007 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 299,920

GCF of Fractions 299/843,920/949 is 23/800007

23 299, 920
13, 40

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 299,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,920 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 299,920 . The biggest common factor number is the GCF number.
So the greatest common factor 299,920 is 23.

Lets's calculate LCM of 843,949

Given numbers has no common factors except 1. So, there LCM is their product i.e 800007

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/800007

Therefore, the GCF of Fractions 299/843,920/949 is 23/800007

Least Common Multiple of 843,949 with GCF Formula

Least Common Multiple of 843,949 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 843,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,949) = 1

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

GCF(843,949) x common factors =1 x 1 = 1

LCM(843,949) = ( 843 × 949 ) / 1

LCM(843,949) = 800007 / 1

LCM(843,949) = 800007


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 299/843, 920/949

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 299/843, 920/949?

Answer: GCF of Numerators as per given numbers 299/843, 920/949 is

GCF of Numerators i.e. for 299,920 is 23

LCM of denominators i.e. for 843,949 is 800007.

Thus, GCF of Fractions is 23/800007.Finally, GCF of Fractions for 299/843, 920/949 is 23/800007.