Greatest Common Factor of 544/38, 770/67, 837/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 544/38, 770/67, 837/222

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 544/38,770/67,837/222

Given fractions are 544/38,770/67,837/222

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 544,770,837

Greatest Common Factor of Numerators i.e. GCF of 544,770,837 is 1 .

LCM of Denominators means LCM of 38,67,222 as per the given fractions.

LCM of 38,67,222 is 282606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 544,770,837

GCF of Fractions 544/38,770/67,837/222 is 1/282606

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

Greatest Common Factor of 544,770,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,770,837 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 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 544,770,837 . The biggest common factor number is the GCF number.
So the greatest common factor 544,770,837 is 1.

Lets's calculate LCM of 38,67,222

2 38, 67, 222
19, 67, 111

∴ So the LCM of the given numbers is 2 x 19 x 67 x 111 = 282606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282606

Therefore, the GCF of Fractions 544/38,770/67,837/222 is 1/282606

Least Common Multiple of 38,67,222 with GCF Formula

Least Common Multiple of 38,67,222 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 38,67,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,67,222) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,67,222) x common factors =1 x 2 = 2

LCM(38,67,222) = ( 38 × 67 × 222 ) / 2

LCM(38,67,222) = 565212 / 2

LCM(38,67,222) = 282606


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 544/38, 770/67, 837/222

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 544/38, 770/67, 837/222?

Answer: GCF of Numerators as per given numbers 544/38, 770/67, 837/222 is

GCF of Numerators i.e. for 544,770,837 is 1

LCM of denominators i.e. for 38,67,222 is 282606.

Thus, GCF of Fractions is 1/282606.Finally, GCF of Fractions for 544/38, 770/67, 837/222 is 1/282606.