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GCF of 9616/299, 9634/6366

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 9616/299, 9634/6366 i.e 2/1903434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9616/299, 9634/6366.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9616/299,9634/6366?

Given fractions are 9616/299,9634/6366

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 9616/299,9634/6366, numerators are 9616,9634

Denominators are 299,6366

The GCF of 9616,9634 is 2 .

LCM of 299,6366 is 1903434.

The greatest common factor of 9616/299,9634/6366 = [GCF of 9616,9634]/[LCM of 299,6366]= 2/1903434

Therefore, the GCF of 9616/299,9634/6366 is 2/1903434.

Greatest Common Factor of 9616,9634

To find the highest common factor of 9616,9634, we have to find the factors of both numbers and list the highest common factor.

The factors of 9616 are 1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616

The factors of 9634 are 1, 2, 4817, 9634

The HCF of 9616,9634 is 2.

Lets's calculate GCF of 9616,9634

Greatest Common Factor (GCF) of 9616,9634 By Common Division

2 9616, 9634
4808, 4817

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9616,9634 By Matching Biggest Common Factor Method

Greatest Common Factor of 9616,9634 By Matching Biggest Common Factor Method

Now, list down the factors of 9616

:

1,2,4,8,16,601,1202,2404,4808,9616

Now, list down the factors of 9634

:

1,2,4817,9634

Greatest Common Factor

We found the factors 9616,9634 . The biggest common factor number is the GCF number.
So the greatest common factor 9616,9634 is 2.


Lets's calculate LCM of 299,6366

Lowest Common Multiple of 299,6366 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1903434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1903434

Therefore, the GCF of Fractions 9616/299,9634/6366 is 2/1903434

Least Common Multiple of 299,6366 with GCF Formula

Least Common Multiple of 299,6366 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 299,6366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,6366) = 1

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

GCF(299,6366) x common factors =1 x 1 = 1

LCM(299,6366) = ( 299 × 6366 ) / 1

LCM(299,6366) = 1903434 / 1

LCM(299,6366) = 1903434


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9616/299, 9634/6366

1. What is the HCF of 9616,9634?

The HCF of 9616,9634 is 2

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 9616/299, 9634/6366?

Answer: GCF of Numerators as per given numbers 9616/299, 9634/6366 is

GCF of Numerators i.e. for 9616,9634 is 2

LCM of denominators i.e. for 299,6366 is 1903434.

Thus, GCF of Fractions is 2/1903434.Finally, GCF of Fractions for 9616/299, 9634/6366 is 2/1903434.