Greatest Common Factor of 463/22, 683/96, 250/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 463/22, 683/96, 250/195

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 463/22,683/96,250/195

Given fractions are 463/22,683/96,250/195

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 463,683,250

Greatest Common Factor of Numerators i.e. GCF of 463,683,250 is 1 .

LCM of Denominators means LCM of 22,96,195 as per the given fractions.

LCM of 22,96,195 is 68640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 463,683,250

GCF of Fractions 463/22,683/96,250/195 is 1/68640

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

Greatest Common Factor of 463,683,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,683,250 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 463,683,250 . The biggest common factor number is the GCF number.
So the greatest common factor 463,683,250 is 1.

Lets's calculate LCM of 22,96,195

2 22, 96, 195
3 11, 48, 195
11, 16, 65

∴ So the LCM of the given numbers is 2 x 3 x 11 x 16 x 65 = 68640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68640

Therefore, the GCF of Fractions 463/22,683/96,250/195 is 1/68640

Least Common Multiple of 22,96,195 with GCF Formula

Least Common Multiple of 22,96,195 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 22,96,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,96,195) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(22,96,195) x common factors =1 x 6 = 6

LCM(22,96,195) = ( 22 × 96 × 195 ) / 6

LCM(22,96,195) = 411840 / 6

LCM(22,96,195) = 68640


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 463/22, 683/96, 250/195

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 463/22, 683/96, 250/195?

Answer: GCF of Numerators as per given numbers 463/22, 683/96, 250/195 is

GCF of Numerators i.e. for 463,683,250 is 1

LCM of denominators i.e. for 22,96,195 is 68640.

Thus, GCF of Fractions is 1/68640.Finally, GCF of Fractions for 463/22, 683/96, 250/195 is 1/68640.