Greatest Common Factor of 630/23, 782/81, 413/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 630/23, 782/81, 413/149

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 630/23,782/81,413/149

Given fractions are 630/23,782/81,413/149

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 630,782,413

Greatest Common Factor of Numerators i.e. GCF of 630,782,413 is 1 .

LCM of Denominators means LCM of 23,81,149 as per the given fractions.

LCM of 23,81,149 is 277587 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 630,782,413

GCF of Fractions 630/23,782/81,413/149 is 1/277587

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

Greatest Common Factor of 630,782,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,782,413 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 630,782,413 . The biggest common factor number is the GCF number.
So the greatest common factor 630,782,413 is 1.

Lets's calculate LCM of 23,81,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 277587

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277587

Therefore, the GCF of Fractions 630/23,782/81,413/149 is 1/277587

Least Common Multiple of 23,81,149 with GCF Formula

Least Common Multiple of 23,81,149 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 23,81,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,81,149) = 1

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

GCF(23,81,149) x common factors =1 x 1 = 1

LCM(23,81,149) = ( 23 × 81 × 149 ) / 1

LCM(23,81,149) = 277587 / 1

LCM(23,81,149) = 277587


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 630/23, 782/81, 413/149

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 630/23, 782/81, 413/149?

Answer: GCF of Numerators as per given numbers 630/23, 782/81, 413/149 is

GCF of Numerators i.e. for 630,782,413 is 1

LCM of denominators i.e. for 23,81,149 is 277587.

Thus, GCF of Fractions is 1/277587.Finally, GCF of Fractions for 630/23, 782/81, 413/149 is 1/277587.