How to Find GCF of 9821/994, 2943/8315?

GCF of 9821/994, 2943/8315

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 9821/994, 2943/8315 i.e 1/8265110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9821/994, 2943/8315.

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 9821/994,2943/8315?

Given fractions are 9821/994,2943/8315

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 9821/994,2943/8315, numerators are 9821,2943

Denominators are 994,8315

The GCF of 9821,2943 is 1 .

LCM of 994,8315 is 8265110.

The greatest common factor of 9821/994,2943/8315 = [GCF of 9821,2943]/[LCM of 994,8315]= 1/8265110

Therefore, the GCF of 9821/994,2943/8315 is 1/8265110.

Greatest Common Factor of 9821,2943

To find the highest common factor of 9821,2943, we have to find the factors of both numbers and list the highest common factor.

The factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821

The factors of 2943 are 1, 3, 9, 27, 109, 327, 981, 2943

The HCF of 9821,2943 is 1.

Lets's calculate GCF of 9821,2943

Greatest Common Factor (GCF) of 9821,2943 By Common Division

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

Greatest Common Factor of 9821,2943 By Matching Biggest Common Factor Method

Now, list down the factors of 9821

1,7,23,61,161,427,1403,9821

Now, list down the factors of 2943

1,3,9,27,109,327,981,2943

Greatest Common Factor

We found the factors 9821,2943 . The biggest common factor number is the GCF number.
So the greatest common factor 9821,2943 is 1.

Lets's calculate LCM of 994,8315

Lowest Common Multiple of 994,8315 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8265110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8265110

Therefore, the GCF of Fractions 9821/994,2943/8315 is 1/8265110

Least Common Multiple of 994,8315 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 994,8315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,8315) = 1

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

GCF(994,8315) x common factors =1 x 1 = 1

LCM(994,8315) = ( 994 × 8315 ) / 1

LCM(994,8315) = 8265110 / 1

LCM(994,8315) = 8265110

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FAQs on GCF of Fractions of 9821/994, 2943/8315

1. What is the HCF of 9821,2943?

The HCF of 9821,2943 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 9821/994, 2943/8315?

Answer: GCF of Numerators as per given numbers 9821/994, 2943/8315 is

GCF of Numerators i.e. for 9821,2943 is 1

LCM of denominators i.e. for 994,8315 is 8265110.

Thus, GCF of Fractions is 1/8265110.Finally, GCF of Fractions for 9821/994, 2943/8315 is 1/8265110.