Greatest Common Factor of 628/427, 2261/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 628/427, 2261/409

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 628/427,2261/409

Given fractions are 628/427,2261/409

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 628,2261

Greatest Common Factor of Numerators i.e. GCF of 628,2261 is 1 .

LCM of Denominators means LCM of 427,409 as per the given fractions.

LCM of 427,409 is 174643 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 628,2261

GCF of Fractions 628/427,2261/409 is 1/174643

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

Greatest Common Factor of 628,2261 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,2261 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 2261

List of positive integer factors of 2261 that divides 2261 without a remainder.

1,7,17,19,119,133,323,2261

Greatest Common Factor

We found the factors 628,2261 . The biggest common factor number is the GCF number.
So the greatest common factor 628,2261 is 1.

Lets's calculate LCM of 427,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 174643

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174643

Therefore, the GCF of Fractions 628/427,2261/409 is 1/174643

Least Common Multiple of 427,409 with GCF Formula

Least Common Multiple of 427,409 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 427,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,409) = 1

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

GCF(427,409) x common factors =1 x 1 = 1

LCM(427,409) = ( 427 × 409 ) / 1

LCM(427,409) = 174643 / 1

LCM(427,409) = 174643


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 628/427, 2261/409

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 628/427, 2261/409?

Answer: GCF of Numerators as per given numbers 628/427, 2261/409 is

GCF of Numerators i.e. for 628,2261 is 1

LCM of denominators i.e. for 427,409 is 174643.

Thus, GCF of Fractions is 1/174643.Finally, GCF of Fractions for 628/427, 2261/409 is 1/174643.