Greatest Common Factor of 83/63, 504/14, 194/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/63, 504/14, 194/699

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 83/63,504/14,194/699

Given fractions are 83/63,504/14,194/699

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 83,504,194

Greatest Common Factor of Numerators i.e. GCF of 83,504,194 is 1 .

LCM of Denominators means LCM of 63,14,699 as per the given fractions.

LCM of 63,14,699 is 29358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,504,194

GCF of Fractions 83/63,504/14,194/699 is 1/29358

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

Greatest Common Factor of 83,504,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,504,194 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 83,504,194 . The biggest common factor number is the GCF number.
So the greatest common factor 83,504,194 is 1.

Lets's calculate LCM of 63,14,699

3 63, 14, 699
7 21, 14, 233
3, 2, 233

∴ So the LCM of the given numbers is 3 x 7 x 3 x 2 x 233 = 29358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29358

Therefore, the GCF of Fractions 83/63,504/14,194/699 is 1/29358

Least Common Multiple of 63,14,699 with GCF Formula

Least Common Multiple of 63,14,699 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 63,14,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,14,699) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(63,14,699) x common factors =1 x 21 = 21

LCM(63,14,699) = ( 63 × 14 × 699 ) / 21

LCM(63,14,699) = 616518 / 21

LCM(63,14,699) = 29358


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 83/63, 504/14, 194/699

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 83/63, 504/14, 194/699?

Answer: GCF of Numerators as per given numbers 83/63, 504/14, 194/699 is

GCF of Numerators i.e. for 83,504,194 is 1

LCM of denominators i.e. for 63,14,699 is 29358.

Thus, GCF of Fractions is 1/29358.Finally, GCF of Fractions for 83/63, 504/14, 194/699 is 1/29358.