How to Find GCF of 223/973, 8314/9798?

GCF of 223/973, 8314/9798

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 223/973, 8314/9798 i.e 1/9533454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 223/973, 8314/9798.

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 223/973,8314/9798?

Given fractions are 223/973,8314/9798

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 223/973,8314/9798, numerators are 223,8314

Denominators are 973,9798

The GCF of 223,8314 is 1 .

LCM of 973,9798 is 9533454.

The greatest common factor of 223/973,8314/9798 = [GCF of 223,8314]/[LCM of 973,9798]= 1/9533454

Therefore, the GCF of 223/973,8314/9798 is 1/9533454.

Greatest Common Factor of 223,8314

To find the highest common factor of 223,8314, we have to find the factors of both numbers and list the highest common factor.

The factors of 223 are 1, 223

The factors of 8314 are 1, 2, 4157, 8314

The HCF of 223,8314 is 1.

Lets's calculate GCF of 223,8314

Greatest Common Factor (GCF) of 223,8314 By Common Division

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

Greatest Common Factor of 223,8314 By Matching Biggest Common Factor Method

Now, list down the factors of 223

1,223

Now, list down the factors of 8314

1,2,4157,8314

Greatest Common Factor

We found the factors 223,8314 . The biggest common factor number is the GCF number.
So the greatest common factor 223,8314 is 1.

Lets's calculate LCM of 973,9798

Lowest Common Multiple of 973,9798 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9533454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9533454

Therefore, the GCF of Fractions 223/973,8314/9798 is 1/9533454

Least Common Multiple of 973,9798 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 973,9798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,9798) = 1

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

GCF(973,9798) x common factors =1 x 1 = 1

LCM(973,9798) = ( 973 × 9798 ) / 1

LCM(973,9798) = 9533454 / 1

LCM(973,9798) = 9533454

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FAQs on GCF of Fractions of 223/973, 8314/9798

1. What is the HCF of 223,8314?

The HCF of 223,8314 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 223/973, 8314/9798?

Answer: GCF of Numerators as per given numbers 223/973, 8314/9798 is

GCF of Numerators i.e. for 223,8314 is 1

LCM of denominators i.e. for 973,9798 is 9533454.

Thus, GCF of Fractions is 1/9533454.Finally, GCF of Fractions for 223/973, 8314/9798 is 1/9533454.