How to Find GCF of 9347/581, 2067/663?

GCF of 9347/581, 2067/663

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 9347/581, 2067/663 i.e 13/385203 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9347/581, 2067/663.

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 9347/581,2067/663?

Given fractions are 9347/581,2067/663

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 9347/581,2067/663, numerators are 9347,2067

Denominators are 581,663

The GCF of 9347,2067 is 13 .

LCM of 581,663 is 385203.

The greatest common factor of 9347/581,2067/663 = [GCF of 9347,2067]/[LCM of 581,663]= 13/385203

Therefore, the GCF of 9347/581,2067/663 is 13/385203.

Greatest Common Factor of 9347,2067

To find the highest common factor of 9347,2067, we have to find the factors of both numbers and list the highest common factor.

The factors of 9347 are 1, 13, 719, 9347

The factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067

The HCF of 9347,2067 is 13.

Lets's calculate GCF of 9347,2067

Greatest Common Factor (GCF) of 9347,2067 By Common Division

13	9347, 2067
	719, 159

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9347,2067 By Matching Biggest Common Factor Method

Now, list down the factors of 9347

1,13,719,9347

Now, list down the factors of 2067

1,3,13,39,53,159,689,2067

Greatest Common Factor

We found the factors 9347,2067 . The biggest common factor number is the GCF number.
So the greatest common factor 9347,2067 is 13.

Lets's calculate LCM of 581,663

Lowest Common Multiple of 581,663 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 385203

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/385203

Therefore, the GCF of Fractions 9347/581,2067/663 is 13/385203

Least Common Multiple of 581,663 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 581,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,663) = 1

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

GCF(581,663) x common factors =1 x 1 = 1

LCM(581,663) = ( 581 × 663 ) / 1

LCM(581,663) = 385203 / 1

LCM(581,663) = 385203

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FAQs on GCF of Fractions of 9347/581, 2067/663

1. What is the HCF of 9347,2067?

The HCF of 9347,2067 is 13

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 9347/581, 2067/663?

Answer: GCF of Numerators as per given numbers 9347/581, 2067/663 is

GCF of Numerators i.e. for 9347,2067 is 13

LCM of denominators i.e. for 581,663 is 385203.

Thus, GCF of Fractions is 13/385203.Finally, GCF of Fractions for 9347/581, 2067/663 is 13/385203.