How to Find GCF of 9866/924, 4345/659?

GCF of 9866/924, 4345/659

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 9866/924, 4345/659 i.e 1/608916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9866/924, 4345/659.

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 9866/924,4345/659?

Given fractions are 9866/924,4345/659

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 9866/924,4345/659, numerators are 9866,4345

Denominators are 924,659

The GCF of 9866,4345 is 1 .

LCM of 924,659 is 608916.

The greatest common factor of 9866/924,4345/659 = [GCF of 9866,4345]/[LCM of 924,659]= 1/608916

Therefore, the GCF of 9866/924,4345/659 is 1/608916.

Greatest Common Factor of 9866,4345

To find the highest common factor of 9866,4345, we have to find the factors of both numbers and list the highest common factor.

The factors of 9866 are 1, 2, 4933, 9866

The factors of 4345 are 1, 5, 11, 55, 79, 395, 869, 4345

The HCF of 9866,4345 is 1.

Lets's calculate GCF of 9866,4345

Greatest Common Factor (GCF) of 9866,4345 By Common Division

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

Greatest Common Factor of 9866,4345 By Matching Biggest Common Factor Method

Now, list down the factors of 9866

1,2,4933,9866

Now, list down the factors of 4345

1,5,11,55,79,395,869,4345

Greatest Common Factor

We found the factors 9866,4345 . The biggest common factor number is the GCF number.
So the greatest common factor 9866,4345 is 1.

Lets's calculate LCM of 924,659

Lowest Common Multiple of 924,659 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 608916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/608916

Therefore, the GCF of Fractions 9866/924,4345/659 is 1/608916

Least Common Multiple of 924,659 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 924,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,659) = 1

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

GCF(924,659) x common factors =1 x 1 = 1

LCM(924,659) = ( 924 × 659 ) / 1

LCM(924,659) = 608916 / 1

LCM(924,659) = 608916

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FAQs on GCF of Fractions of 9866/924, 4345/659

1. What is the HCF of 9866,4345?

The HCF of 9866,4345 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 9866/924, 4345/659?

Answer: GCF of Numerators as per given numbers 9866/924, 4345/659 is

GCF of Numerators i.e. for 9866,4345 is 1

LCM of denominators i.e. for 924,659 is 608916.

Thus, GCF of Fractions is 1/608916.Finally, GCF of Fractions for 9866/924, 4345/659 is 1/608916.