How to Find GCF of 192/31, 281/19, 943/64?

GCF of 192/31, 281/19, 943/64

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 192/31, 281/19, 943/64 i.e 1/37696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 192/31, 281/19, 943/64.

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 192/31,281/19,943/64?

Given fractions are 192/31,281/19,943/64

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 192/31,281/19,943/64, numerators are 192,281,943

Denominators are 31,19,64

The GCF of 192,281,943 is 1 .

LCM of 31,19,64 is 37696.

The greatest common factor of 192/31,281/19,943/64 = [GCF of 192,281,943]/[LCM of 31,19,64]= 1/37696

Therefore, the GCF of 192/31,281/19,943/64 is 1/37696.

Greatest Common Factor of 192,281,943

To find the highest common factor of 192,281,943, we have to find the factors of both numbers and list the highest common factor.

The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

The factors of 281 are 1, 281

The factors of 943 are 1, 23, 41, 943

The HCF of 192,281,943 is 1.

Lets's calculate GCF of 192,281,943

Greatest Common Factor (GCF) of 192,281,943 By Common Division

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

Greatest Common Factor of 192,281,943 By Matching Biggest Common Factor Method

Now, list down the factors of 192

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Now, list down the factors of 281

1,281

Now, list down the factors of 943

1,23,41,943

Greatest Common Factor

We found the factors 192,281,943 . The biggest common factor number is the GCF number.
So the greatest common factor 192,281,943 is 1.

Lets's calculate LCM of 31,19,64

Lowest Common Multiple of 31,19,64 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 37696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37696

Therefore, the GCF of Fractions 192/31,281/19,943/64 is 1/37696

Least Common Multiple of 31,19,64 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 31,19,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,19,64) = 1

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

GCF(31,19,64) x common factors =1 x 1 = 1

LCM(31,19,64) = ( 31 × 19 × 64 ) / 1

LCM(31,19,64) = 37696 / 1

LCM(31,19,64) = 37696

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FAQs on GCF of Fractions of 192/31, 281/19, 943/64

1. What is the HCF of 192,281,943?

The HCF of 192,281,943 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 192/31, 281/19, 943/64?

Answer: GCF of Numerators as per given numbers 192/31, 281/19, 943/64 is

GCF of Numerators i.e. for 192,281,943 is 1

LCM of denominators i.e. for 31,19,64 is 37696.

Thus, GCF of Fractions is 1/37696.Finally, GCF of Fractions for 192/31, 281/19, 943/64 is 1/37696.