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GCF of 992/81, 669/6731

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 992/81, 669/6731 i.e 1/545211 easily. The following is the detailed procedure to determine the greatest common factor of fractions 992/81, 669/6731.

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 992/81,669/6731?

Given fractions are 992/81,669/6731

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 992/81,669/6731, numerators are 992,669

Denominators are 81,6731

The GCF of 992,669 is 1 .

LCM of 81,6731 is 545211.

The greatest common factor of 992/81,669/6731 = [GCF of 992,669]/[LCM of 81,6731]= 1/545211

Therefore, the GCF of 992/81,669/6731 is 1/545211.

Greatest Common Factor of 992,669

To find the highest common factor of 992,669, 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 669 are 1, 3, 223, 669

The HCF of 992,669 is 1.

Lets's calculate GCF of 992,669

Greatest Common Factor (GCF) of 992,669 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 992,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,669 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 669

:

1,3,223,669

Greatest Common Factor

We found the factors 992,669 . The biggest common factor number is the GCF number.
So the greatest common factor 992,669 is 1.


Lets's calculate LCM of 81,6731

Lowest Common Multiple of 81,6731 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 545211

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/545211

Therefore, the GCF of Fractions 992/81,669/6731 is 1/545211

Least Common Multiple of 81,6731 with GCF Formula

Least Common Multiple of 81,6731 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 81,6731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,6731) = 1

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

GCF(81,6731) x common factors =1 x 1 = 1

LCM(81,6731) = ( 81 × 6731 ) / 1

LCM(81,6731) = 545211 / 1

LCM(81,6731) = 545211


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 992/81, 669/6731

1. What is the HCF of 992,669?

The HCF of 992,669 is 1

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 992/81, 669/6731?

Answer: GCF of Numerators as per given numbers 992/81, 669/6731 is

GCF of Numerators i.e. for 992,669 is 1

LCM of denominators i.e. for 81,6731 is 545211.

Thus, GCF of Fractions is 1/545211.Finally, GCF of Fractions for 992/81, 669/6731 is 1/545211.