How to Find GCF of 915/405, 517/554?

GCF of 915/405, 517/554

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 915/405, 517/554 i.e 1/224370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 915/405, 517/554.

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 915/405,517/554?

Given fractions are 915/405,517/554

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 915/405,517/554, numerators are 915,517

Denominators are 405,554

The GCF of 915,517 is 1 .

LCM of 405,554 is 224370.

The greatest common factor of 915/405,517/554 = [GCF of 915,517]/[LCM of 405,554]= 1/224370

Therefore, the GCF of 915/405,517/554 is 1/224370.

Greatest Common Factor of 915,517

To find the highest common factor of 915,517, we have to find the factors of both numbers and list the highest common factor.

The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915

The factors of 517 are 1, 11, 47, 517

The HCF of 915,517 is 1.

Lets's calculate GCF of 915,517

Greatest Common Factor (GCF) of 915,517 By Common Division

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

Greatest Common Factor of 915,517 By Matching Biggest Common Factor Method

Now, list down the factors of 915

1,3,5,15,61,183,305,915

Now, list down the factors of 517

1,11,47,517

Greatest Common Factor

We found the factors 915,517 . The biggest common factor number is the GCF number.
So the greatest common factor 915,517 is 1.

Lets's calculate LCM of 405,554

Lowest Common Multiple of 405,554 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 224370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224370

Therefore, the GCF of Fractions 915/405,517/554 is 1/224370

Least Common Multiple of 405,554 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 405,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,554) = 1

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

GCF(405,554) x common factors =1 x 1 = 1

LCM(405,554) = ( 405 × 554 ) / 1

LCM(405,554) = 224370 / 1

LCM(405,554) = 224370

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FAQs on GCF of Fractions of 915/405, 517/554

1. What is the HCF of 915,517?

The HCF of 915,517 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 915/405, 517/554?

Answer: GCF of Numerators as per given numbers 915/405, 517/554 is

GCF of Numerators i.e. for 915,517 is 1

LCM of denominators i.e. for 405,554 is 224370.

Thus, GCF of Fractions is 1/224370.Finally, GCF of Fractions for 915/405, 517/554 is 1/224370.