How to Find GCF of 18/17, 77/53, 973/168?

GCF of 18/17, 77/53, 973/168

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 18/17, 77/53, 973/168 i.e 1/151368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/17, 77/53, 973/168.

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 18/17,77/53,973/168?

Given fractions are 18/17,77/53,973/168

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 18/17,77/53,973/168, numerators are 18,77,973

Denominators are 17,53,168

The GCF of 18,77,973 is 1 .

LCM of 17,53,168 is 151368.

The greatest common factor of 18/17,77/53,973/168 = [GCF of 18,77,973]/[LCM of 17,53,168]= 1/151368

Therefore, the GCF of 18/17,77/53,973/168 is 1/151368.

Greatest Common Factor of 18,77,973

To find the highest common factor of 18,77,973, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 77 are 1, 7, 11, 77

The factors of 973 are 1, 7, 139, 973

The HCF of 18,77,973 is 1.

Lets's calculate GCF of 18,77,973

Greatest Common Factor (GCF) of 18,77,973 By Common Division

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

Greatest Common Factor of 18,77,973 By Matching Biggest Common Factor Method

Now, list down the factors of 18

1,2,3,6,9,18

Now, list down the factors of 77

1,7,11,77

Now, list down the factors of 973

1,7,139,973

Greatest Common Factor

We found the factors 18,77,973 . The biggest common factor number is the GCF number.
So the greatest common factor 18,77,973 is 1.

Lets's calculate LCM of 17,53,168

Lowest Common Multiple of 17,53,168 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 151368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151368

Therefore, the GCF of Fractions 18/17,77/53,973/168 is 1/151368

Least Common Multiple of 17,53,168 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 17,53,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,53,168) = 1

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

GCF(17,53,168) x common factors =1 x 1 = 1

LCM(17,53,168) = ( 17 × 53 × 168 ) / 1

LCM(17,53,168) = 151368 / 1

LCM(17,53,168) = 151368

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FAQs on GCF of Fractions of 18/17, 77/53, 973/168

1. What is the HCF of 18,77,973?

The HCF of 18,77,973 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 18/17, 77/53, 973/168?

Answer: GCF of Numerators as per given numbers 18/17, 77/53, 973/168 is

GCF of Numerators i.e. for 18,77,973 is 1

LCM of denominators i.e. for 17,53,168 is 151368.

Thus, GCF of Fractions is 1/151368.Finally, GCF of Fractions for 18/17, 77/53, 973/168 is 1/151368.