How to Find GCF of 54/587, 40/147, 839/818?

GCF of 54/587, 40/147, 839/818

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 54/587, 40/147, 839/818 i.e 1/70584402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/587, 40/147, 839/818.

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 54/587,40/147,839/818?

Given fractions are 54/587,40/147,839/818

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 54/587,40/147,839/818, numerators are 54,40,839

Denominators are 587,147,818

The GCF of 54,40,839 is 1 .

LCM of 587,147,818 is 70584402.

The greatest common factor of 54/587,40/147,839/818 = [GCF of 54,40,839]/[LCM of 587,147,818]= 1/70584402

Therefore, the GCF of 54/587,40/147,839/818 is 1/70584402.

Greatest Common Factor of 54,40,839

To find the highest common factor of 54,40,839, we have to find the factors of both numbers and list the highest common factor.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 839 are 1, 839

The HCF of 54,40,839 is 1.

Lets's calculate GCF of 54,40,839

Greatest Common Factor (GCF) of 54,40,839 By Common Division

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

Greatest Common Factor of 54,40,839 By Matching Biggest Common Factor Method

Now, list down the factors of 54

1,2,3,6,9,18,27,54

Now, list down the factors of 40

1,2,4,5,8,10,20,40

Now, list down the factors of 839

1,839

Greatest Common Factor

We found the factors 54,40,839 . The biggest common factor number is the GCF number.
So the greatest common factor 54,40,839 is 1.

Lets's calculate LCM of 587,147,818

Lowest Common Multiple of 587,147,818 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 70584402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70584402

Therefore, the GCF of Fractions 54/587,40/147,839/818 is 1/70584402

Least Common Multiple of 587,147,818 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 587,147,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,147,818) = 1

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

GCF(587,147,818) x common factors =1 x 1 = 1

LCM(587,147,818) = ( 587 × 147 × 818 ) / 1

LCM(587,147,818) = 70584402 / 1

LCM(587,147,818) = 70584402

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 54/587, 40/147, 839/818

1. What is the HCF of 54,40,839?

The HCF of 54,40,839 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 54/587, 40/147, 839/818?

Answer: GCF of Numerators as per given numbers 54/587, 40/147, 839/818 is

GCF of Numerators i.e. for 54,40,839 is 1

LCM of denominators i.e. for 587,147,818 is 70584402.

Thus, GCF of Fractions is 1/70584402.Finally, GCF of Fractions for 54/587, 40/147, 839/818 is 1/70584402.