How to Find GCF of 3/47, 899/81, 910/19?

GCF of 3/47, 899/81, 910/19

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 3/47, 899/81, 910/19 i.e 1/72333 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/47, 899/81, 910/19.

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 3/47,899/81,910/19?

Given fractions are 3/47,899/81,910/19

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 3/47,899/81,910/19, numerators are 3,899,910

Denominators are 47,81,19

The GCF of 3,899,910 is 1 .

LCM of 47,81,19 is 72333.

The greatest common factor of 3/47,899/81,910/19 = [GCF of 3,899,910]/[LCM of 47,81,19]= 1/72333

Therefore, the GCF of 3/47,899/81,910/19 is 1/72333.

Greatest Common Factor of 3,899,910

To find the highest common factor of 3,899,910, we have to find the factors of both numbers and list the highest common factor.

The factors of 3 are 1, 3

The factors of 899 are 1, 29, 31, 899

The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

The HCF of 3,899,910 is 1.

Lets's calculate GCF of 3,899,910

Greatest Common Factor (GCF) of 3,899,910 By Common Division

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

Greatest Common Factor of 3,899,910 By Matching Biggest Common Factor Method

Now, list down the factors of 3

1,3

Now, list down the factors of 899

1,29,31,899

Now, list down the factors of 910

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 3,899,910 . The biggest common factor number is the GCF number.
So the greatest common factor 3,899,910 is 1.

Lets's calculate LCM of 47,81,19

Lowest Common Multiple of 47,81,19 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 72333

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72333

Therefore, the GCF of Fractions 3/47,899/81,910/19 is 1/72333

Least Common Multiple of 47,81,19 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 47,81,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,81,19) = 1

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

GCF(47,81,19) x common factors =1 x 1 = 1

LCM(47,81,19) = ( 47 × 81 × 19 ) / 1

LCM(47,81,19) = 72333 / 1

LCM(47,81,19) = 72333

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3/47, 899/81, 910/19

1. What is the HCF of 3,899,910?

The HCF of 3,899,910 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 3/47, 899/81, 910/19?

Answer: GCF of Numerators as per given numbers 3/47, 899/81, 910/19 is

GCF of Numerators i.e. for 3,899,910 is 1

LCM of denominators i.e. for 47,81,19 is 72333.

Thus, GCF of Fractions is 1/72333.Finally, GCF of Fractions for 3/47, 899/81, 910/19 is 1/72333.