How to Find GCF of 466/80, 496/2776?

GCF of 466/80, 496/2776

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 466/80, 496/2776 i.e 2/27760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 466/80, 496/2776.

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 466/80,496/2776?

Given fractions are 466/80,496/2776

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 466/80,496/2776, numerators are 466,496

Denominators are 80,2776

The GCF of 466,496 is 2 .

LCM of 80,2776 is 27760.

The greatest common factor of 466/80,496/2776 = [GCF of 466,496]/[LCM of 80,2776]= 2/27760

Therefore, the GCF of 466/80,496/2776 is 2/27760.

Greatest Common Factor of 466,496

To find the highest common factor of 466,496, we have to find the factors of both numbers and list the highest common factor.

The factors of 466 are 1, 2, 233, 466

The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

The HCF of 466,496 is 2.

Lets's calculate GCF of 466,496

Greatest Common Factor (GCF) of 466,496 By Common Division

2	466, 496
	233, 248

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

Greatest Common Factor of 466,496 By Matching Biggest Common Factor Method

Now, list down the factors of 466

1,2,233,466

Now, list down the factors of 496

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

Greatest Common Factor

We found the factors 466,496 . The biggest common factor number is the GCF number.
So the greatest common factor 466,496 is 2.

Lets's calculate LCM of 80,2776

Lowest Common Multiple of 80,2776 using Common Division

2	80, 2776
2	40, 1388
2	20, 694
	10, 347

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 347 = 27760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27760

Therefore, the GCF of Fractions 466/80,496/2776 is 2/27760

Least Common Multiple of 80,2776 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 80,2776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,2776) = 8

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

GCF(80,2776) x common factors =8 x 1 = 8

LCM(80,2776) = ( 80 × 2776 ) / 8

LCM(80,2776) = 222080 / 8

LCM(80,2776) = 27760

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FAQs on GCF of Fractions of 466/80, 496/2776

1. What is the HCF of 466,496?

The HCF of 466,496 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 466/80, 496/2776?

Answer: GCF of Numerators as per given numbers 466/80, 496/2776 is

GCF of Numerators i.e. for 466,496 is 2

LCM of denominators i.e. for 80,2776 is 27760.

Thus, GCF of Fractions is 2/27760.Finally, GCF of Fractions for 466/80, 496/2776 is 2/27760.