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GCF of 64/221, 2334/1805

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 64/221, 2334/1805 i.e 2/398905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/221, 2334/1805.

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 64/221,2334/1805?

Given fractions are 64/221,2334/1805

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 64/221,2334/1805, numerators are 64,2334

Denominators are 221,1805

The GCF of 64,2334 is 2 .

LCM of 221,1805 is 398905.

The greatest common factor of 64/221,2334/1805 = [GCF of 64,2334]/[LCM of 221,1805]= 2/398905

Therefore, the GCF of 64/221,2334/1805 is 2/398905.

Greatest Common Factor of 64,2334

To find the highest common factor of 64,2334, we have to find the factors of both numbers and list the highest common factor.

The factors of 64 are 1, 2, 4, 8, 16, 32, 64

The factors of 2334 are 1, 2, 3, 6, 389, 778, 1167, 2334

The HCF of 64,2334 is 2.

Lets's calculate GCF of 64,2334

Greatest Common Factor (GCF) of 64,2334 By Common Division

2 64, 2334
32, 1167

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

Greatest Common Factor of 64,2334 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,2334 By Matching Biggest Common Factor Method

Now, list down the factors of 64

:

1,2,4,8,16,32,64

Now, list down the factors of 2334

:

1,2,3,6,389,778,1167,2334

Greatest Common Factor

We found the factors 64,2334 . The biggest common factor number is the GCF number.
So the greatest common factor 64,2334 is 2.

Lets's calculate LCM of 221,1805

Lowest Common Multiple of 221,1805 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 398905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/398905

Therefore, the GCF of Fractions 64/221,2334/1805 is 2/398905

Least Common Multiple of 221,1805 with GCF Formula

Least Common Multiple of 221,1805 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 221,1805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,1805) = 1

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

GCF(221,1805) x common factors =1 x 1 = 1

LCM(221,1805) = ( 221 × 1805 ) / 1

LCM(221,1805) = 398905 / 1

LCM(221,1805) = 398905


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 64/221, 2334/1805

1. What is the HCF of 64,2334?

The HCF of 64,2334 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 64/221, 2334/1805?

Answer: GCF of Numerators as per given numbers 64/221, 2334/1805 is

GCF of Numerators i.e. for 64,2334 is 2

LCM of denominators i.e. for 221,1805 is 398905.

Thus, GCF of Fractions is 2/398905.Finally, GCF of Fractions for 64/221, 2334/1805 is 2/398905.