How to Find GCF of 273/59, 483/68, 781/37?

GCF of 273/59, 483/68, 781/37

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 273/59, 483/68, 781/37 i.e 1/148444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 273/59, 483/68, 781/37.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 273/59,483/68,781/37?

Given fractions are 273/59,483/68,781/37

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 273/59,483/68,781/37, numerators are 273,483,781

Denominators are 59,68,37

The GCF of 273,483,781 is 1 .

LCM of 59,68,37 is 148444.

The greatest common factor of 273/59,483/68,781/37 = [GCF of 273,483,781]/[LCM of 59,68,37]= 1/148444

Therefore, the GCF of 273/59,483/68,781/37 is 1/148444.

Greatest Common Factor of 273,483,781

To find the highest common factor of 273,483,781, we have to find the factors of both numbers and list the highest common factor.

The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273

The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483

The factors of 781 are 1, 11, 71, 781

The HCF of 273,483,781 is 1.

Lets's calculate GCF of 273,483,781

Greatest Common Factor (GCF) of 273,483,781 By Common Division

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

Greatest Common Factor of 273,483,781 By Matching Biggest Common Factor Method

Now, list down the factors of 273

1,3,7,13,21,39,91,273

Now, list down the factors of 483

1,3,7,21,23,69,161,483

Now, list down the factors of 781

1,11,71,781

Greatest Common Factor

We found the factors 273,483,781 . The biggest common factor number is the GCF number.
So the greatest common factor 273,483,781 is 1.

Lets's calculate LCM of 59,68,37

Lowest Common Multiple of 59,68,37 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 148444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148444

Therefore, the GCF of Fractions 273/59,483/68,781/37 is 1/148444

Least Common Multiple of 59,68,37 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 59,68,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,68,37) = 1

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

GCF(59,68,37) x common factors =1 x 1 = 1

LCM(59,68,37) = ( 59 × 68 × 37 ) / 1

LCM(59,68,37) = 148444 / 1

LCM(59,68,37) = 148444

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FAQs on GCF of Fractions of 273/59, 483/68, 781/37

1. What is the HCF of 273,483,781?

The HCF of 273,483,781 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 273/59, 483/68, 781/37?

Answer: GCF of Numerators as per given numbers 273/59, 483/68, 781/37 is

GCF of Numerators i.e. for 273,483,781 is 1

LCM of denominators i.e. for 59,68,37 is 148444.

Thus, GCF of Fractions is 1/148444.Finally, GCF of Fractions for 273/59, 483/68, 781/37 is 1/148444.