Greatest Common Factor of 233/26, 842/46, 425/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 233/26, 842/46, 425/697

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 233/26,842/46,425/697

Given fractions are 233/26,842/46,425/697

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 233,842,425

Greatest Common Factor of Numerators i.e. GCF of 233,842,425 is 1 .

LCM of Denominators means LCM of 26,46,697 as per the given fractions.

LCM of 26,46,697 is 416806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 233,842,425

GCF of Fractions 233/26,842/46,425/697 is 1/416806

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

Greatest Common Factor of 233,842,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,842,425 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 233,842,425 . The biggest common factor number is the GCF number.
So the greatest common factor 233,842,425 is 1.

Lets's calculate LCM of 26,46,697

2 26, 46, 697
13, 23, 697

∴ So the LCM of the given numbers is 2 x 13 x 23 x 697 = 416806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/416806

Therefore, the GCF of Fractions 233/26,842/46,425/697 is 1/416806

Least Common Multiple of 26,46,697 with GCF Formula

Least Common Multiple of 26,46,697 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 26,46,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,46,697) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(26,46,697) x common factors =1 x 2 = 2

LCM(26,46,697) = ( 26 × 46 × 697 ) / 2

LCM(26,46,697) = 833612 / 2

LCM(26,46,697) = 416806


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 233/26, 842/46, 425/697

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 233/26, 842/46, 425/697?

Answer: GCF of Numerators as per given numbers 233/26, 842/46, 425/697 is

GCF of Numerators i.e. for 233,842,425 is 1

LCM of denominators i.e. for 26,46,697 is 416806.

Thus, GCF of Fractions is 1/416806.Finally, GCF of Fractions for 233/26, 842/46, 425/697 is 1/416806.