How to Find GCF of 64/398, 26/559, 228/663?

GCF of 64/398, 26/559, 228/663

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 64/398, 26/559, 228/663 i.e 2/11346582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/398, 26/559, 228/663.

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 64/398,26/559,228/663?

Given fractions are 64/398,26/559,228/663

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 64/398,26/559,228/663, numerators are 64,26,228

Denominators are 398,559,663

The GCF of 64,26,228 is 2 .

LCM of 398,559,663 is 11346582.

The greatest common factor of 64/398,26/559,228/663 = [GCF of 64,26,228]/[LCM of 398,559,663]= 2/11346582

Therefore, the GCF of 64/398,26/559,228/663 is 2/11346582.

Greatest Common Factor of 64,26,228

To find the highest common factor of 64,26,228, 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 26 are 1, 2, 13, 26

The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

The HCF of 64,26,228 is 2.

Lets's calculate GCF of 64,26,228

Greatest Common Factor (GCF) of 64,26,228 By Common Division

2	64, 26, 228
	32, 13, 114

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

Greatest Common Factor of 64,26,228 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 26

1,2,13,26

Now, list down the factors of 228

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 64,26,228 . The biggest common factor number is the GCF number.
So the greatest common factor 64,26,228 is 2.

Lets's calculate LCM of 398,559,663

Lowest Common Multiple of 398,559,663 using Common Division

13	398, 559, 663
	398, 43, 51

∴ So the LCM of the given numbers is 13 x 398 x 43 x 51 = 11346582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11346582

Therefore, the GCF of Fractions 64/398,26/559,228/663 is 2/11346582

Least Common Multiple of 398,559,663 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 398,559,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,559,663) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(398,559,663) x common factors =1 x 13 = 13

LCM(398,559,663) = ( 398 × 559 × 663 ) / 13

LCM(398,559,663) = 147505566 / 13

LCM(398,559,663) = 11346582

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 64/398, 26/559, 228/663

1. What is the HCF of 64,26,228?

The HCF of 64,26,228 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 64/398, 26/559, 228/663?

Answer: GCF of Numerators as per given numbers 64/398, 26/559, 228/663 is

GCF of Numerators i.e. for 64,26,228 is 2

LCM of denominators i.e. for 398,559,663 is 11346582.

Thus, GCF of Fractions is 2/11346582.Finally, GCF of Fractions for 64/398, 26/559, 228/663 is 2/11346582.