How to Find GCF of 817/70, 540/4358?

GCF of 817/70, 540/4358

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 817/70, 540/4358 i.e 1/152530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 817/70, 540/4358.

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 817/70,540/4358?

Given fractions are 817/70,540/4358

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 817/70,540/4358, numerators are 817,540

Denominators are 70,4358

The GCF of 817,540 is 1 .

LCM of 70,4358 is 152530.

The greatest common factor of 817/70,540/4358 = [GCF of 817,540]/[LCM of 70,4358]= 1/152530

Therefore, the GCF of 817/70,540/4358 is 1/152530.

Greatest Common Factor of 817,540

To find the highest common factor of 817,540, we have to find the factors of both numbers and list the highest common factor.

The factors of 817 are 1, 19, 43, 817

The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

The HCF of 817,540 is 1.

Lets's calculate GCF of 817,540

Greatest Common Factor (GCF) of 817,540 By Common Division

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

Greatest Common Factor of 817,540 By Matching Biggest Common Factor Method

Now, list down the factors of 817

1,19,43,817

Now, list down the factors of 540

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 817,540 . The biggest common factor number is the GCF number.
So the greatest common factor 817,540 is 1.

Lets's calculate LCM of 70,4358

Lowest Common Multiple of 70,4358 using Common Division

2	70, 4358
	35, 2179

∴ So the LCM of the given numbers is 2 x 35 x 2179 = 152530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152530

Therefore, the GCF of Fractions 817/70,540/4358 is 1/152530

Least Common Multiple of 70,4358 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 70,4358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,4358) = 2

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

GCF(70,4358) x common factors =2 x 1 = 2

LCM(70,4358) = ( 70 × 4358 ) / 2

LCM(70,4358) = 305060 / 2

LCM(70,4358) = 152530

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FAQs on GCF of Fractions of 817/70, 540/4358

1. What is the HCF of 817,540?

The HCF of 817,540 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 817/70, 540/4358?

Answer: GCF of Numerators as per given numbers 817/70, 540/4358 is

GCF of Numerators i.e. for 817,540 is 1

LCM of denominators i.e. for 70,4358 is 152530.

Thus, GCF of Fractions is 1/152530.Finally, GCF of Fractions for 817/70, 540/4358 is 1/152530.