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GCF of 884/431, 1409/917

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 884/431, 1409/917 i.e 1/395227 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/431, 1409/917.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 884/431,1409/917?

Given fractions are 884/431,1409/917

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 884/431,1409/917, numerators are 884,1409

Denominators are 431,917

The GCF of 884,1409 is 1 .

LCM of 431,917 is 395227.

The greatest common factor of 884/431,1409/917 = [GCF of 884,1409]/[LCM of 431,917]= 1/395227

Therefore, the GCF of 884/431,1409/917 is 1/395227.

Greatest Common Factor of 884,1409

To find the highest common factor of 884,1409, we have to find the factors of both numbers and list the highest common factor.

The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

The factors of 1409 are 1, 1409

The HCF of 884,1409 is 1.

Lets's calculate GCF of 884,1409

Greatest Common Factor (GCF) of 884,1409 By Common Division

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

Greatest Common Factor of 884,1409 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,1409 By Matching Biggest Common Factor Method

Now, list down the factors of 884

:

1,2,4,13,17,26,34,52,68,221,442,884

Now, list down the factors of 1409

:

1,1409

Greatest Common Factor

We found the factors 884,1409 . The biggest common factor number is the GCF number.
So the greatest common factor 884,1409 is 1.

Lets's calculate LCM of 431,917

Lowest Common Multiple of 431,917 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 395227

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/395227

Therefore, the GCF of Fractions 884/431,1409/917 is 1/395227

Least Common Multiple of 431,917 with GCF Formula

Least Common Multiple of 431,917 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 431,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,917) = 1

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

GCF(431,917) x common factors =1 x 1 = 1

LCM(431,917) = ( 431 × 917 ) / 1

LCM(431,917) = 395227 / 1

LCM(431,917) = 395227


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 884/431, 1409/917

1. What is the HCF of 884,1409?

The HCF of 884,1409 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 884/431, 1409/917?

Answer: GCF of Numerators as per given numbers 884/431, 1409/917 is

GCF of Numerators i.e. for 884,1409 is 1

LCM of denominators i.e. for 431,917 is 395227.

Thus, GCF of Fractions is 1/395227.Finally, GCF of Fractions for 884/431, 1409/917 is 1/395227.