How to Find GCF of 9083/569, 8369/8361?

GCF of 9083/569, 8369/8361

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 9083/569, 8369/8361 i.e 1/4757409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9083/569, 8369/8361.

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 9083/569,8369/8361?

Given fractions are 9083/569,8369/8361

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 9083/569,8369/8361, numerators are 9083,8369

Denominators are 569,8361

The GCF of 9083,8369 is 1 .

LCM of 569,8361 is 4757409.

The greatest common factor of 9083/569,8369/8361 = [GCF of 9083,8369]/[LCM of 569,8361]= 1/4757409

Therefore, the GCF of 9083/569,8369/8361 is 1/4757409.

Greatest Common Factor of 9083,8369

To find the highest common factor of 9083,8369, we have to find the factors of both numbers and list the highest common factor.

The factors of 9083 are 1, 31, 293, 9083

The factors of 8369 are 1, 8369

The HCF of 9083,8369 is 1.

Lets's calculate GCF of 9083,8369

Greatest Common Factor (GCF) of 9083,8369 By Common Division

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

Greatest Common Factor of 9083,8369 By Matching Biggest Common Factor Method

Now, list down the factors of 9083

1,31,293,9083

Now, list down the factors of 8369

1,8369

Greatest Common Factor

We found the factors 9083,8369 . The biggest common factor number is the GCF number.
So the greatest common factor 9083,8369 is 1.

Lets's calculate LCM of 569,8361

Lowest Common Multiple of 569,8361 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4757409

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4757409

Therefore, the GCF of Fractions 9083/569,8369/8361 is 1/4757409

Least Common Multiple of 569,8361 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 569,8361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,8361) = 1

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

GCF(569,8361) x common factors =1 x 1 = 1

LCM(569,8361) = ( 569 × 8361 ) / 1

LCM(569,8361) = 4757409 / 1

LCM(569,8361) = 4757409

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FAQs on GCF of Fractions of 9083/569, 8369/8361

1. What is the HCF of 9083,8369?

The HCF of 9083,8369 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 9083/569, 8369/8361?

Answer: GCF of Numerators as per given numbers 9083/569, 8369/8361 is

GCF of Numerators i.e. for 9083,8369 is 1

LCM of denominators i.e. for 569,8361 is 4757409.

Thus, GCF of Fractions is 1/4757409.Finally, GCF of Fractions for 9083/569, 8369/8361 is 1/4757409.