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GCF of 64/212, 5584/2151

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 64/212, 5584/2151 i.e 16/456012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/212, 5584/2151.

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 64/212,5584/2151?

Given fractions are 64/212,5584/2151

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 64/212,5584/2151, numerators are 64,5584

Denominators are 212,2151

The GCF of 64,5584 is 16 .

LCM of 212,2151 is 456012.

The greatest common factor of 64/212,5584/2151 = [GCF of 64,5584]/[LCM of 212,2151]= 16/456012

Therefore, the GCF of 64/212,5584/2151 is 16/456012.

Greatest Common Factor of 64,5584

To find the highest common factor of 64,5584, 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 5584 are 1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584

The HCF of 64,5584 is 16.

Lets's calculate GCF of 64,5584

Greatest Common Factor (GCF) of 64,5584 By Common Division

2 64, 5584
2 32, 2792
2 16, 1396
2 8, 698
4, 349

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 64,5584 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,5584 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 5584

:

1,2,4,8,16,349,698,1396,2792,5584

Greatest Common Factor

We found the factors 64,5584 . The biggest common factor number is the GCF number.
So the greatest common factor 64,5584 is 16.


Lets's calculate LCM of 212,2151

Lowest Common Multiple of 212,2151 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 456012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/456012

Therefore, the GCF of Fractions 64/212,5584/2151 is 16/456012

Least Common Multiple of 212,2151 with GCF Formula

Least Common Multiple of 212,2151 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 212,2151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,2151) = 1

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

GCF(212,2151) x common factors =1 x 1 = 1

LCM(212,2151) = ( 212 × 2151 ) / 1

LCM(212,2151) = 456012 / 1

LCM(212,2151) = 456012


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 64/212, 5584/2151

1. What is the HCF of 64,5584?

The HCF of 64,5584 is 16

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 64/212, 5584/2151?

Answer: GCF of Numerators as per given numbers 64/212, 5584/2151 is

GCF of Numerators i.e. for 64,5584 is 16

LCM of denominators i.e. for 212,2151 is 456012.

Thus, GCF of Fractions is 16/456012.Finally, GCF of Fractions for 64/212, 5584/2151 is 16/456012.