How to Find GCF of 816/490, 992/850?

GCF of 816/490, 992/850

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 816/490, 992/850 i.e 16/41650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 816/490, 992/850.

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 816/490,992/850?

Given fractions are 816/490,992/850

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 816/490,992/850, numerators are 816,992

Denominators are 490,850

The GCF of 816,992 is 16 .

LCM of 490,850 is 41650.

The greatest common factor of 816/490,992/850 = [GCF of 816,992]/[LCM of 490,850]= 16/41650

Therefore, the GCF of 816/490,992/850 is 16/41650.

Greatest Common Factor of 816,992

To find the highest common factor of 816,992, we have to find the factors of both numbers and list the highest common factor.

The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

The HCF of 816,992 is 16.

Lets's calculate GCF of 816,992

Greatest Common Factor (GCF) of 816,992 By Common Division

2	816, 992
2	408, 496
2	204, 248
2	102, 124
	51, 62

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

Greatest Common Factor of 816,992 By Matching Biggest Common Factor Method

Now, list down the factors of 816

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Now, list down the factors of 992

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 816,992 . The biggest common factor number is the GCF number.
So the greatest common factor 816,992 is 16.

Lets's calculate LCM of 490,850

Lowest Common Multiple of 490,850 using Common Division

2	490, 850
5	245, 425
	49, 85

∴ So the LCM of the given numbers is 2 x 5 x 49 x 85 = 41650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/41650

Therefore, the GCF of Fractions 816/490,992/850 is 16/41650

Least Common Multiple of 490,850 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 490,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,850) = 10

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

GCF(490,850) x common factors =10 x 1 = 10

LCM(490,850) = ( 490 × 850 ) / 10

LCM(490,850) = 416500 / 10

LCM(490,850) = 41650

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FAQs on GCF of Fractions of 816/490, 992/850

1. What is the HCF of 816,992?

The HCF of 816,992 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 816/490, 992/850?

Answer: GCF of Numerators as per given numbers 816/490, 992/850 is

GCF of Numerators i.e. for 816,992 is 16

LCM of denominators i.e. for 490,850 is 41650.

Thus, GCF of Fractions is 16/41650.Finally, GCF of Fractions for 816/490, 992/850 is 16/41650.