Greatest Common Factor of 63/432, 55/282, 380/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/432, 55/282, 380/614

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 63/432,55/282,380/614

Given fractions are 63/432,55/282,380/614

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 63,55,380

Greatest Common Factor of Numerators i.e. GCF of 63,55,380 is 1 .

LCM of Denominators means LCM of 432,282,614 as per the given fractions.

LCM of 432,282,614 is 6233328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,55,380

GCF of Fractions 63/432,55/282,380/614 is 1/6233328

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

Greatest Common Factor of 63,55,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,55,380 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 63,55,380 . The biggest common factor number is the GCF number.
So the greatest common factor 63,55,380 is 1.

Lets's calculate LCM of 432,282,614

2 432, 282, 614
3 216, 141, 307
72, 47, 307

∴ So the LCM of the given numbers is 2 x 3 x 72 x 47 x 307 = 6233328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6233328

Therefore, the GCF of Fractions 63/432,55/282,380/614 is 1/6233328

Least Common Multiple of 432,282,614 with GCF Formula

Least Common Multiple of 432,282,614 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 432,282,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,282,614) = 2

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

GCF(432,282,614) x common factors =2 x 6 = 12

LCM(432,282,614) = ( 432 × 282 × 614 ) / 12

LCM(432,282,614) = 74799936 / 12

LCM(432,282,614) = 6233328


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 63/432, 55/282, 380/614

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 63/432, 55/282, 380/614?

Answer: GCF of Numerators as per given numbers 63/432, 55/282, 380/614 is

GCF of Numerators i.e. for 63,55,380 is 1

LCM of denominators i.e. for 432,282,614 is 6233328.

Thus, GCF of Fractions is 1/6233328.Finally, GCF of Fractions for 63/432, 55/282, 380/614 is 1/6233328.