How to Find GCF of 8369/984, 9382/2437?

GCF of 8369/984, 9382/2437

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 8369/984, 9382/2437 i.e 1/2398008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8369/984, 9382/2437.

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 8369/984,9382/2437?

Given fractions are 8369/984,9382/2437

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 8369/984,9382/2437, numerators are 8369,9382

Denominators are 984,2437

The GCF of 8369,9382 is 1 .

LCM of 984,2437 is 2398008.

The greatest common factor of 8369/984,9382/2437 = [GCF of 8369,9382]/[LCM of 984,2437]= 1/2398008

Therefore, the GCF of 8369/984,9382/2437 is 1/2398008.

Greatest Common Factor of 8369,9382

To find the highest common factor of 8369,9382, we have to find the factors of both numbers and list the highest common factor.

The factors of 8369 are 1, 8369

The factors of 9382 are 1, 2, 4691, 9382

The HCF of 8369,9382 is 1.

Lets's calculate GCF of 8369,9382

Greatest Common Factor (GCF) of 8369,9382 By Common Division

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

Greatest Common Factor of 8369,9382 By Matching Biggest Common Factor Method

Now, list down the factors of 8369

1,8369

Now, list down the factors of 9382

1,2,4691,9382

Greatest Common Factor

We found the factors 8369,9382 . The biggest common factor number is the GCF number.
So the greatest common factor 8369,9382 is 1.

Lets's calculate LCM of 984,2437

Lowest Common Multiple of 984,2437 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2398008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2398008

Therefore, the GCF of Fractions 8369/984,9382/2437 is 1/2398008

Least Common Multiple of 984,2437 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 984,2437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,2437) = 1

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

GCF(984,2437) x common factors =1 x 1 = 1

LCM(984,2437) = ( 984 × 2437 ) / 1

LCM(984,2437) = 2398008 / 1

LCM(984,2437) = 2398008

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FAQs on GCF of Fractions of 8369/984, 9382/2437

1. What is the HCF of 8369,9382?

The HCF of 8369,9382 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 8369/984, 9382/2437?

Answer: GCF of Numerators as per given numbers 8369/984, 9382/2437 is

GCF of Numerators i.e. for 8369,9382 is 1

LCM of denominators i.e. for 984,2437 is 2398008.

Thus, GCF of Fractions is 1/2398008.Finally, GCF of Fractions for 8369/984, 9382/2437 is 1/2398008.