How to Find GCF of 8415/823, 9557/367?

GCF of 8415/823, 9557/367

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 8415/823, 9557/367 i.e 1/302041 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8415/823, 9557/367.

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 8415/823,9557/367?

Given fractions are 8415/823,9557/367

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 8415/823,9557/367, numerators are 8415,9557

Denominators are 823,367

The GCF of 8415,9557 is 1 .

LCM of 823,367 is 302041.

The greatest common factor of 8415/823,9557/367 = [GCF of 8415,9557]/[LCM of 823,367]= 1/302041

Therefore, the GCF of 8415/823,9557/367 is 1/302041.

Greatest Common Factor of 8415,9557

To find the highest common factor of 8415,9557, we have to find the factors of both numbers and list the highest common factor.

The factors of 8415 are 1, 3, 5, 9, 11, 15, 17, 33, 45, 51, 55, 85, 99, 153, 165, 187, 255, 495, 561, 765, 935, 1683, 2805, 8415

The factors of 9557 are 1, 19, 503, 9557

The HCF of 8415,9557 is 1.

Lets's calculate GCF of 8415,9557

Greatest Common Factor (GCF) of 8415,9557 By Common Division

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

Greatest Common Factor of 8415,9557 By Matching Biggest Common Factor Method

Now, list down the factors of 8415

1,3,5,9,11,15,17,33,45,51,55,85,99,153,165,187,255,495,561,765,935,1683,2805,8415

Now, list down the factors of 9557

1,19,503,9557

Greatest Common Factor

We found the factors 8415,9557 . The biggest common factor number is the GCF number.
So the greatest common factor 8415,9557 is 1.

Lets's calculate LCM of 823,367

Lowest Common Multiple of 823,367 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 302041

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302041

Therefore, the GCF of Fractions 8415/823,9557/367 is 1/302041

Least Common Multiple of 823,367 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 823,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,367) = 1

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

GCF(823,367) x common factors =1 x 1 = 1

LCM(823,367) = ( 823 × 367 ) / 1

LCM(823,367) = 302041 / 1

LCM(823,367) = 302041

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FAQs on GCF of Fractions of 8415/823, 9557/367

1. What is the HCF of 8415,9557?

The HCF of 8415,9557 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 8415/823, 9557/367?

Answer: GCF of Numerators as per given numbers 8415/823, 9557/367 is

GCF of Numerators i.e. for 8415,9557 is 1

LCM of denominators i.e. for 823,367 is 302041.

Thus, GCF of Fractions is 1/302041.Finally, GCF of Fractions for 8415/823, 9557/367 is 1/302041.