Greatest Common Factor of 544/514, 845/651, 530/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 544/514, 845/651, 530/383

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 544/514,845/651,530/383

Given fractions are 544/514,845/651,530/383

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 544,845,530

Greatest Common Factor of Numerators i.e. GCF of 544,845,530 is 1 .

LCM of Denominators means LCM of 514,651,383 as per the given fractions.

LCM of 514,651,383 is 128157162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 544,845,530

GCF of Fractions 544/514,845/651,530/383 is 1/128157162

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

Greatest Common Factor of 544,845,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,845,530 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 544,845,530 . The biggest common factor number is the GCF number.
So the greatest common factor 544,845,530 is 1.

Lets's calculate LCM of 514,651,383

Given numbers has no common factors except 1. So, there LCM is their product i.e 128157162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128157162

Therefore, the GCF of Fractions 544/514,845/651,530/383 is 1/128157162

Least Common Multiple of 514,651,383 with GCF Formula

Least Common Multiple of 514,651,383 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 514,651,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,651,383) = 1

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

GCF(514,651,383) x common factors =1 x 1 = 1

LCM(514,651,383) = ( 514 × 651 × 383 ) / 1

LCM(514,651,383) = 128157162 / 1

LCM(514,651,383) = 128157162


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 544/514, 845/651, 530/383

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 544/514, 845/651, 530/383?

Answer: GCF of Numerators as per given numbers 544/514, 845/651, 530/383 is

GCF of Numerators i.e. for 544,845,530 is 1

LCM of denominators i.e. for 514,651,383 is 128157162.

Thus, GCF of Fractions is 1/128157162.Finally, GCF of Fractions for 544/514, 845/651, 530/383 is 1/128157162.