How to Find GCF of 992/205, 496/531?

GCF of 992/205, 496/531

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 992/205, 496/531 i.e 496/108855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 992/205, 496/531.

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 992/205,496/531?

Given fractions are 992/205,496/531

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 992/205,496/531, numerators are 992,496

Denominators are 205,531

The GCF of 992,496 is 496 .

LCM of 205,531 is 108855.

The greatest common factor of 992/205,496/531 = [GCF of 992,496]/[LCM of 205,531]= 496/108855

Therefore, the GCF of 992/205,496/531 is 496/108855.

Greatest Common Factor of 992,496

To find the highest common factor of 992,496, we have to find the factors of both numbers and list the highest common factor.

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

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

The HCF of 992,496 is 496.

Lets's calculate GCF of 992,496

Greatest Common Factor (GCF) of 992,496 By Common Division

2	992, 496
2	496, 248
2	124, 248
2	62, 124
31	31, 62
	1, 2

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 31 = 496

Greatest Common Factor of 992,496 By Matching Biggest Common Factor Method

Now, list down the factors of 992

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

Now, list down the factors of 496

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

Greatest Common Factor

We found the factors 992,496 . The biggest common factor number is the GCF number.
So the greatest common factor 992,496 is 496.

Lets's calculate LCM of 205,531

Lowest Common Multiple of 205,531 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 108855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 496/108855

Therefore, the GCF of Fractions 992/205,496/531 is 496/108855

Least Common Multiple of 205,531 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 205,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,531) = 1

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

GCF(205,531) x common factors =1 x 1 = 1

LCM(205,531) = ( 205 × 531 ) / 1

LCM(205,531) = 108855 / 1

LCM(205,531) = 108855

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FAQs on GCF of Fractions of 992/205, 496/531

1. What is the HCF of 992,496?

The HCF of 992,496 is 496

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 992/205, 496/531?

Answer: GCF of Numerators as per given numbers 992/205, 496/531 is

GCF of Numerators i.e. for 992,496 is 496

LCM of denominators i.e. for 205,531 is 108855.

Thus, GCF of Fractions is 496/108855.Finally, GCF of Fractions for 992/205, 496/531 is 496/108855.