How to Find GCF of 31/17, 42/49, 885/372?

GCF of 31/17, 42/49, 885/372

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 31/17, 42/49, 885/372 i.e 1/309876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 31/17, 42/49, 885/372.

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 31/17,42/49,885/372?

Given fractions are 31/17,42/49,885/372

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 31/17,42/49,885/372, numerators are 31,42,885

Denominators are 17,49,372

The GCF of 31,42,885 is 1 .

LCM of 17,49,372 is 309876.

The greatest common factor of 31/17,42/49,885/372 = [GCF of 31,42,885]/[LCM of 17,49,372]= 1/309876

Therefore, the GCF of 31/17,42/49,885/372 is 1/309876.

Greatest Common Factor of 31,42,885

To find the highest common factor of 31,42,885, we have to find the factors of both numbers and list the highest common factor.

The factors of 31 are 1, 31

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885

The HCF of 31,42,885 is 1.

Lets's calculate GCF of 31,42,885

Greatest Common Factor (GCF) of 31,42,885 By Common Division

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

Greatest Common Factor of 31,42,885 By Matching Biggest Common Factor Method

Now, list down the factors of 31

1,31

Now, list down the factors of 42

1,2,3,6,7,14,21,42

Now, list down the factors of 885

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 31,42,885 . The biggest common factor number is the GCF number.
So the greatest common factor 31,42,885 is 1.

Lets's calculate LCM of 17,49,372

Lowest Common Multiple of 17,49,372 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 309876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309876

Therefore, the GCF of Fractions 31/17,42/49,885/372 is 1/309876

Least Common Multiple of 17,49,372 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 17,49,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,49,372) = 1

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

GCF(17,49,372) x common factors =1 x 1 = 1

LCM(17,49,372) = ( 17 × 49 × 372 ) / 1

LCM(17,49,372) = 309876 / 1

LCM(17,49,372) = 309876

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FAQs on GCF of Fractions of 31/17, 42/49, 885/372

1. What is the HCF of 31,42,885?

The HCF of 31,42,885 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 31/17, 42/49, 885/372?

Answer: GCF of Numerators as per given numbers 31/17, 42/49, 885/372 is

GCF of Numerators i.e. for 31,42,885 is 1

LCM of denominators i.e. for 17,49,372 is 309876.

Thus, GCF of Fractions is 1/309876.Finally, GCF of Fractions for 31/17, 42/49, 885/372 is 1/309876.