Greatest Common Factor of 73/94, 834/71, 619/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 73/94, 834/71, 619/273

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 73/94,834/71,619/273

Given fractions are 73/94,834/71,619/273

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 73,834,619

Greatest Common Factor of Numerators i.e. GCF of 73,834,619 is 1 .

LCM of Denominators means LCM of 94,71,273 as per the given fractions.

LCM of 94,71,273 is 1822002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,834,619

GCF of Fractions 73/94,834/71,619/273 is 1/1822002

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

Greatest Common Factor of 73,834,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,834,619 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 73,834,619 . The biggest common factor number is the GCF number.
So the greatest common factor 73,834,619 is 1.


Lets's calculate LCM of 94,71,273

Given numbers has no common factors except 1. So, there LCM is their product i.e 1822002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1822002

Therefore, the GCF of Fractions 73/94,834/71,619/273 is 1/1822002

Least Common Multiple of 94,71,273 with GCF Formula

Least Common Multiple of 94,71,273 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 94,71,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,71,273) = 1

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

GCF(94,71,273) x common factors =1 x 1 = 1

LCM(94,71,273) = ( 94 × 71 × 273 ) / 1

LCM(94,71,273) = 1822002 / 1

LCM(94,71,273) = 1822002


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 73/94, 834/71, 619/273

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 73/94, 834/71, 619/273?

Answer: GCF of Numerators as per given numbers 73/94, 834/71, 619/273 is

GCF of Numerators i.e. for 73,834,619 is 1

LCM of denominators i.e. for 94,71,273 is 1822002.

Thus, GCF of Fractions is 1/1822002.Finally, GCF of Fractions for 73/94, 834/71, 619/273 is 1/1822002.