How to Find GCF of 22/507, 73/377, 447/116?

GCF of 22/507, 73/377, 447/116

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 22/507, 73/377, 447/116 i.e 1/58812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/507, 73/377, 447/116.

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 22/507,73/377,447/116?

Given fractions are 22/507,73/377,447/116

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 22/507,73/377,447/116, numerators are 22,73,447

Denominators are 507,377,116

The GCF of 22,73,447 is 1 .

LCM of 507,377,116 is 58812.

The greatest common factor of 22/507,73/377,447/116 = [GCF of 22,73,447]/[LCM of 507,377,116]= 1/58812

Therefore, the GCF of 22/507,73/377,447/116 is 1/58812.

Greatest Common Factor of 22,73,447

To find the highest common factor of 22,73,447, we have to find the factors of both numbers and list the highest common factor.

The factors of 22 are 1, 2, 11, 22

The factors of 73 are 1, 73

The factors of 447 are 1, 3, 149, 447

The HCF of 22,73,447 is 1.

Lets's calculate GCF of 22,73,447

Greatest Common Factor (GCF) of 22,73,447 By Common Division

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

Greatest Common Factor of 22,73,447 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 73

1,73

Now, list down the factors of 447

1,3,149,447

Greatest Common Factor

We found the factors 22,73,447 . The biggest common factor number is the GCF number.
So the greatest common factor 22,73,447 is 1.

Lets's calculate LCM of 507,377,116

Lowest Common Multiple of 507,377,116 using Common Division

13	507, 377, 116
29	39, 29, 116
	39, 1, 4

∴ So the LCM of the given numbers is 13 x 29 x 39 x 1 x 4 = 58812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58812

Therefore, the GCF of Fractions 22/507,73/377,447/116 is 1/58812

Least Common Multiple of 507,377,116 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 507,377,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,377,116) = 1

common factors(in case of two or more numbers have common factors) = 377

GCF(507,377,116) x common factors =1 x 377 = 377

LCM(507,377,116) = ( 507 × 377 × 116 ) / 377

LCM(507,377,116) = 22172124 / 377

LCM(507,377,116) = 58812

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FAQs on GCF of Fractions of 22/507, 73/377, 447/116

1. What is the HCF of 22,73,447?

The HCF of 22,73,447 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 22/507, 73/377, 447/116?

Answer: GCF of Numerators as per given numbers 22/507, 73/377, 447/116 is

GCF of Numerators i.e. for 22,73,447 is 1

LCM of denominators i.e. for 507,377,116 is 58812.

Thus, GCF of Fractions is 1/58812.Finally, GCF of Fractions for 22/507, 73/377, 447/116 is 1/58812.