How to Find GCF of 93/72, 993/28, 316/469?

GCF of 93/72, 993/28, 316/469

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 93/72, 993/28, 316/469 i.e 1/33768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/72, 993/28, 316/469.

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 93/72,993/28,316/469?

Given fractions are 93/72,993/28,316/469

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 93/72,993/28,316/469, numerators are 93,993,316

Denominators are 72,28,469

The GCF of 93,993,316 is 1 .

LCM of 72,28,469 is 33768.

The greatest common factor of 93/72,993/28,316/469 = [GCF of 93,993,316]/[LCM of 72,28,469]= 1/33768

Therefore, the GCF of 93/72,993/28,316/469 is 1/33768.

Greatest Common Factor of 93,993,316

To find the highest common factor of 93,993,316, we have to find the factors of both numbers and list the highest common factor.

The factors of 93 are 1, 3, 31, 93

The factors of 993 are 1, 3, 331, 993

The factors of 316 are 1, 2, 4, 79, 158, 316

The HCF of 93,993,316 is 1.

Lets's calculate GCF of 93,993,316

Greatest Common Factor (GCF) of 93,993,316 By Common Division

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

Greatest Common Factor of 93,993,316 By Matching Biggest Common Factor Method

Now, list down the factors of 93

1,3,31,93

Now, list down the factors of 993

1,3,331,993

Now, list down the factors of 316

1,2,4,79,158,316

Greatest Common Factor

We found the factors 93,993,316 . The biggest common factor number is the GCF number.
So the greatest common factor 93,993,316 is 1.

Lets's calculate LCM of 72,28,469

Lowest Common Multiple of 72,28,469 using Common Division

2	72, 28, 469
2	36, 14, 469
7	18, 7, 469
	18, 1, 67

∴ So the LCM of the given numbers is 2 x 2 x 7 x 18 x 1 x 67 = 33768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33768

Therefore, the GCF of Fractions 93/72,993/28,316/469 is 1/33768

Least Common Multiple of 72,28,469 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 72,28,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,28,469) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(72,28,469) x common factors =1 x 28 = 28

LCM(72,28,469) = ( 72 × 28 × 469 ) / 28

LCM(72,28,469) = 945504 / 28

LCM(72,28,469) = 33768

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FAQs on GCF of Fractions of 93/72, 993/28, 316/469

1. What is the HCF of 93,993,316?

The HCF of 93,993,316 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 93/72, 993/28, 316/469?

Answer: GCF of Numerators as per given numbers 93/72, 993/28, 316/469 is

GCF of Numerators i.e. for 93,993,316 is 1

LCM of denominators i.e. for 72,28,469 is 33768.

Thus, GCF of Fractions is 1/33768.Finally, GCF of Fractions for 93/72, 993/28, 316/469 is 1/33768.