How to Find GCF of 51/90, 17/47, 739/911?

GCF of 51/90, 17/47, 739/911

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 51/90, 17/47, 739/911 i.e 1/3853530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 51/90, 17/47, 739/911.

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 51/90,17/47,739/911?

Given fractions are 51/90,17/47,739/911

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 51/90,17/47,739/911, numerators are 51,17,739

Denominators are 90,47,911

The GCF of 51,17,739 is 1 .

LCM of 90,47,911 is 3853530.

The greatest common factor of 51/90,17/47,739/911 = [GCF of 51,17,739]/[LCM of 90,47,911]= 1/3853530

Therefore, the GCF of 51/90,17/47,739/911 is 1/3853530.

Greatest Common Factor of 51,17,739

To find the highest common factor of 51,17,739, we have to find the factors of both numbers and list the highest common factor.

The factors of 51 are 1, 3, 17, 51

The factors of 17 are 1, 17

The factors of 739 are 1, 739

The HCF of 51,17,739 is 1.

Lets's calculate GCF of 51,17,739

Greatest Common Factor (GCF) of 51,17,739 By Common Division

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

Greatest Common Factor of 51,17,739 By Matching Biggest Common Factor Method

Now, list down the factors of 51

1,3,17,51

Now, list down the factors of 17

1,17

Now, list down the factors of 739

1,739

Greatest Common Factor

We found the factors 51,17,739 . The biggest common factor number is the GCF number.
So the greatest common factor 51,17,739 is 1.

Lets's calculate LCM of 90,47,911

Lowest Common Multiple of 90,47,911 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3853530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3853530

Therefore, the GCF of Fractions 51/90,17/47,739/911 is 1/3853530

Least Common Multiple of 90,47,911 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 90,47,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,47,911) = 1

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

GCF(90,47,911) x common factors =1 x 1 = 1

LCM(90,47,911) = ( 90 × 47 × 911 ) / 1

LCM(90,47,911) = 3853530 / 1

LCM(90,47,911) = 3853530

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FAQs on GCF of Fractions of 51/90, 17/47, 739/911

1. What is the HCF of 51,17,739?

The HCF of 51,17,739 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 51/90, 17/47, 739/911?

Answer: GCF of Numerators as per given numbers 51/90, 17/47, 739/911 is

GCF of Numerators i.e. for 51,17,739 is 1

LCM of denominators i.e. for 90,47,911 is 3853530.

Thus, GCF of Fractions is 1/3853530.Finally, GCF of Fractions for 51/90, 17/47, 739/911 is 1/3853530.