How to Find GCF of 923/8001, 284/9157?

GCF of 923/8001, 284/9157

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 923/8001, 284/9157 i.e 71/73265157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/8001, 284/9157.

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 923/8001,284/9157?

Given fractions are 923/8001,284/9157

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 923/8001,284/9157, numerators are 923,284

Denominators are 8001,9157

The GCF of 923,284 is 71 .

LCM of 8001,9157 is 73265157.

The greatest common factor of 923/8001,284/9157 = [GCF of 923,284]/[LCM of 8001,9157]= 71/73265157

Therefore, the GCF of 923/8001,284/9157 is 71/73265157.

Greatest Common Factor of 923,284

To find the highest common factor of 923,284, we have to find the factors of both numbers and list the highest common factor.

The factors of 923 are 1, 13, 71, 923

The factors of 284 are 1, 2, 4, 71, 142, 284

The HCF of 923,284 is 71.

Lets's calculate GCF of 923,284

Greatest Common Factor (GCF) of 923,284 By Common Division

71	923, 284
	13, 4

∴ So the GCF of the given numbers is 71 = 71

Greatest Common Factor of 923,284 By Matching Biggest Common Factor Method

Now, list down the factors of 923

1,13,71,923

Now, list down the factors of 284

1,2,4,71,142,284

Greatest Common Factor

We found the factors 923,284 . The biggest common factor number is the GCF number.
So the greatest common factor 923,284 is 71.

Lets's calculate LCM of 8001,9157

Lowest Common Multiple of 8001,9157 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 73265157

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/73265157

Therefore, the GCF of Fractions 923/8001,284/9157 is 71/73265157

Least Common Multiple of 8001,9157 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 8001,9157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8001,9157) = 1

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

GCF(8001,9157) x common factors =1 x 1 = 1

LCM(8001,9157) = ( 8001 × 9157 ) / 1

LCM(8001,9157) = 73265157 / 1

LCM(8001,9157) = 73265157

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 923/8001, 284/9157

1. What is the HCF of 923,284?

The HCF of 923,284 is 71

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 923/8001, 284/9157?

Answer: GCF of Numerators as per given numbers 923/8001, 284/9157 is

GCF of Numerators i.e. for 923,284 is 71

LCM of denominators i.e. for 8001,9157 is 73265157.

Thus, GCF of Fractions is 71/73265157.Finally, GCF of Fractions for 923/8001, 284/9157 is 71/73265157.