How to Find GCF of 17/76, 54/798, 454/939?

GCF of 17/76, 54/798, 454/939

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 17/76, 54/798, 454/939 i.e 1/499548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/76, 54/798, 454/939.

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 17/76,54/798,454/939?

Given fractions are 17/76,54/798,454/939

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 17/76,54/798,454/939, numerators are 17,54,454

Denominators are 76,798,939

The GCF of 17,54,454 is 1 .

LCM of 76,798,939 is 499548.

The greatest common factor of 17/76,54/798,454/939 = [GCF of 17,54,454]/[LCM of 76,798,939]= 1/499548

Therefore, the GCF of 17/76,54/798,454/939 is 1/499548.

Greatest Common Factor of 17,54,454

To find the highest common factor of 17,54,454, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 454 are 1, 2, 227, 454

The HCF of 17,54,454 is 1.

Lets's calculate GCF of 17,54,454

Greatest Common Factor (GCF) of 17,54,454 By Common Division

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

Greatest Common Factor of 17,54,454 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 54

1,2,3,6,9,18,27,54

Now, list down the factors of 454

1,2,227,454

Greatest Common Factor

We found the factors 17,54,454 . The biggest common factor number is the GCF number.
So the greatest common factor 17,54,454 is 1.

Lets's calculate LCM of 76,798,939

Lowest Common Multiple of 76,798,939 using Common Division

2	76, 798, 939
3	38, 399, 939
19	38, 133, 313
	2, 7, 313

∴ So the LCM of the given numbers is 2 x 3 x 19 x 2 x 7 x 313 = 499548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/499548

Therefore, the GCF of Fractions 17/76,54/798,454/939 is 1/499548

Least Common Multiple of 76,798,939 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 76,798,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,798,939) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(76,798,939) x common factors =1 x 114 = 114

LCM(76,798,939) = ( 76 × 798 × 939 ) / 114

LCM(76,798,939) = 56948472 / 114

LCM(76,798,939) = 499548

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 17/76, 54/798, 454/939

1. What is the HCF of 17,54,454?

The HCF of 17,54,454 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 17/76, 54/798, 454/939?

Answer: GCF of Numerators as per given numbers 17/76, 54/798, 454/939 is

GCF of Numerators i.e. for 17,54,454 is 1

LCM of denominators i.e. for 76,798,939 is 499548.

Thus, GCF of Fractions is 1/499548.Finally, GCF of Fractions for 17/76, 54/798, 454/939 is 1/499548.