Greatest Common Factor of 2810/28, 8429/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2810/28, 8429/375

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 2810/28,8429/375

Given fractions are 2810/28,8429/375

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 2810,8429

Greatest Common Factor of Numerators i.e. GCF of 2810,8429 is 1 .

LCM of Denominators means LCM of 28,375 as per the given fractions.

LCM of 28,375 is 10500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2810,8429

GCF of Fractions 2810/28,8429/375 is 1/10500

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

Greatest Common Factor of 2810,8429 By Matching Biggest Common Factor Method

Greatest Common Factor of 2810,8429 By Matching Biggest Common Factor Method

Factors of 2810

List of positive integer factors of 2810 that divides 2810 without a remainder.

1,2,5,10,281,562,1405,2810

Factors of 8429

List of positive integer factors of 8429 that divides 8429 without a remainder.

1,8429

Greatest Common Factor

We found the factors 2810,8429 . The biggest common factor number is the GCF number.
So the greatest common factor 2810,8429 is 1.

Lets's calculate LCM of 28,375

Given numbers has no common factors except 1. So, there LCM is their product i.e 10500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10500

Therefore, the GCF of Fractions 2810/28,8429/375 is 1/10500

Least Common Multiple of 28,375 with GCF Formula

Least Common Multiple of 28,375 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 28,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,375) = 1

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

GCF(28,375) x common factors =1 x 1 = 1

LCM(28,375) = ( 28 × 375 ) / 1

LCM(28,375) = 10500 / 1

LCM(28,375) = 10500


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 2810/28, 8429/375

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 2810/28, 8429/375?

Answer: GCF of Numerators as per given numbers 2810/28, 8429/375 is

GCF of Numerators i.e. for 2810,8429 is 1

LCM of denominators i.e. for 28,375 is 10500.

Thus, GCF of Fractions is 1/10500.Finally, GCF of Fractions for 2810/28, 8429/375 is 1/10500.