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GCF of 64/498, 496/234

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 64/498, 496/234 i.e 16/19422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/498, 496/234.

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 64/498,496/234?

Given fractions are 64/498,496/234

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 64/498,496/234, numerators are 64,496

Denominators are 498,234

The GCF of 64,496 is 16 .

LCM of 498,234 is 19422.

The greatest common factor of 64/498,496/234 = [GCF of 64,496]/[LCM of 498,234]= 16/19422

Therefore, the GCF of 64/498,496/234 is 16/19422.

Greatest Common Factor of 64,496

To find the highest common factor of 64,496, 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 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

The HCF of 64,496 is 16.

Lets's calculate GCF of 64,496

Greatest Common Factor (GCF) of 64,496 By Common Division

2 64, 496
2 32, 248
2 16, 124
2 8, 62
4, 31

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

Greatest Common Factor of 64,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,496 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 496

:

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 64,496 . The biggest common factor number is the GCF number.
So the greatest common factor 64,496 is 16.

Lets's calculate LCM of 498,234

Lowest Common Multiple of 498,234 using Common Division

2 498, 234
3 249, 117
83, 39

∴ So the LCM of the given numbers is 2 x 3 x 83 x 39 = 19422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/19422

Therefore, the GCF of Fractions 64/498,496/234 is 16/19422

Least Common Multiple of 498,234 with GCF Formula

Least Common Multiple of 498,234 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 498,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,234) = 6

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

GCF(498,234) x common factors =6 x 1 = 6

LCM(498,234) = ( 498 × 234 ) / 6

LCM(498,234) = 116532 / 6

LCM(498,234) = 19422


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FAQs on GCF of Fractions of 64/498, 496/234

1. What is the HCF of 64,496?

The HCF of 64,496 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 64/498, 496/234?

Answer: GCF of Numerators as per given numbers 64/498, 496/234 is

GCF of Numerators i.e. for 64,496 is 16

LCM of denominators i.e. for 498,234 is 19422.

Thus, GCF of Fractions is 16/19422.Finally, GCF of Fractions for 64/498, 496/234 is 16/19422.