Greatest Common Factor of 2069/698, 2321/6325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2069/698, 2321/6325

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 2069/698,2321/6325

Given fractions are 2069/698,2321/6325

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 2069,2321

Greatest Common Factor of Numerators i.e. GCF of 2069,2321 is 1 .

LCM of Denominators means LCM of 698,6325 as per the given fractions.

LCM of 698,6325 is 4414850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2069,2321

GCF of Fractions 2069/698,2321/6325 is 1/4414850

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

Greatest Common Factor of 2069,2321 By Matching Biggest Common Factor Method

Greatest Common Factor of 2069,2321 By Matching Biggest Common Factor Method

Factors of 2069

List of positive integer factors of 2069 that divides 2069 without a remainder.

1,2069

Factors of 2321

List of positive integer factors of 2321 that divides 2321 without a remainder.

1,11,211,2321

Greatest Common Factor

We found the factors 2069,2321 . The biggest common factor number is the GCF number.
So the greatest common factor 2069,2321 is 1.

Lets's calculate LCM of 698,6325

Given numbers has no common factors except 1. So, there LCM is their product i.e 4414850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4414850

Therefore, the GCF of Fractions 2069/698,2321/6325 is 1/4414850

Least Common Multiple of 698,6325 with GCF Formula

Least Common Multiple of 698,6325 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 698,6325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,6325) = 1

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

GCF(698,6325) x common factors =1 x 1 = 1

LCM(698,6325) = ( 698 × 6325 ) / 1

LCM(698,6325) = 4414850 / 1

LCM(698,6325) = 4414850


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 2069/698, 2321/6325

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 2069/698, 2321/6325?

Answer: GCF of Numerators as per given numbers 2069/698, 2321/6325 is

GCF of Numerators i.e. for 2069,2321 is 1

LCM of denominators i.e. for 698,6325 is 4414850.

Thus, GCF of Fractions is 1/4414850.Finally, GCF of Fractions for 2069/698, 2321/6325 is 1/4414850.