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GCF of 994/64, 264/233

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 994/64, 264/233 i.e 2/14912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/64, 264/233.

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 994/64,264/233?

Given fractions are 994/64,264/233

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 994/64,264/233, numerators are 994,264

Denominators are 64,233

The GCF of 994,264 is 2 .

LCM of 64,233 is 14912.

The greatest common factor of 994/64,264/233 = [GCF of 994,264]/[LCM of 64,233]= 2/14912

Therefore, the GCF of 994/64,264/233 is 2/14912.

Greatest Common Factor of 994,264

To find the highest common factor of 994,264, we have to find the factors of both numbers and list the highest common factor.

The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994

The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

The HCF of 994,264 is 2.

Lets's calculate GCF of 994,264

Greatest Common Factor (GCF) of 994,264 By Common Division

2 994, 264
497, 132

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

Greatest Common Factor of 994,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,264 By Matching Biggest Common Factor Method

Now, list down the factors of 994

:

1,2,7,14,71,142,497,994

Now, list down the factors of 264

:

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 994,264 . The biggest common factor number is the GCF number.
So the greatest common factor 994,264 is 2.


Lets's calculate LCM of 64,233

Lowest Common Multiple of 64,233 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14912

Therefore, the GCF of Fractions 994/64,264/233 is 2/14912

Least Common Multiple of 64,233 with GCF Formula

Least Common Multiple of 64,233 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 64,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,233) = 1

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

GCF(64,233) x common factors =1 x 1 = 1

LCM(64,233) = ( 64 × 233 ) / 1

LCM(64,233) = 14912 / 1

LCM(64,233) = 14912


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 994/64, 264/233

1. What is the HCF of 994,264?

The HCF of 994,264 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 994/64, 264/233?

Answer: GCF of Numerators as per given numbers 994/64, 264/233 is

GCF of Numerators i.e. for 994,264 is 2

LCM of denominators i.e. for 64,233 is 14912.

Thus, GCF of Fractions is 2/14912.Finally, GCF of Fractions for 994/64, 264/233 is 2/14912.