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GCF of 81/33, 61/58, 616/698

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 81/33, 61/58, 616/698 i.e 1/667986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/33, 61/58, 616/698.

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 81/33,61/58,616/698?

Given fractions are 81/33,61/58,616/698

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 81/33,61/58,616/698, numerators are 81,61,616

Denominators are 33,58,698

The GCF of 81,61,616 is 1 .

LCM of 33,58,698 is 667986.

The greatest common factor of 81/33,61/58,616/698 = [GCF of 81,61,616]/[LCM of 33,58,698]= 1/667986

Therefore, the GCF of 81/33,61/58,616/698 is 1/667986.

Greatest Common Factor of 81,61,616

To find the highest common factor of 81,61,616, we have to find the factors of both numbers and list the highest common factor.

The factors of 81 are 1, 3, 9, 27, 81

The factors of 61 are 1, 61

The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

The HCF of 81,61,616 is 1.

Lets's calculate GCF of 81,61,616

Greatest Common Factor (GCF) of 81,61,616 By Common Division

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

Greatest Common Factor of 81,61,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,61,616 By Matching Biggest Common Factor Method

Now, list down the factors of 81

:

1,3,9,27,81

Now, list down the factors of 61

:

1,61

Now, list down the factors of 616

:

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 81,61,616 . The biggest common factor number is the GCF number.
So the greatest common factor 81,61,616 is 1.


Lets's calculate LCM of 33,58,698

Lowest Common Multiple of 33,58,698 using Common Division

2 33, 58, 698
33, 29, 349

∴ So the LCM of the given numbers is 2 x 33 x 29 x 349 = 667986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/667986

Therefore, the GCF of Fractions 81/33,61/58,616/698 is 1/667986

Least Common Multiple of 33,58,698 with GCF Formula

Least Common Multiple of 33,58,698 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 33,58,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,58,698) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(33,58,698) x common factors =1 x 2 = 2

LCM(33,58,698) = ( 33 × 58 × 698 ) / 2

LCM(33,58,698) = 1335972 / 2

LCM(33,58,698) = 667986


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 81/33, 61/58, 616/698

1. What is the HCF of 81,61,616?

The HCF of 81,61,616 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 81/33, 61/58, 616/698?

Answer: GCF of Numerators as per given numbers 81/33, 61/58, 616/698 is

GCF of Numerators i.e. for 81,61,616 is 1

LCM of denominators i.e. for 33,58,698 is 667986.

Thus, GCF of Fractions is 1/667986.Finally, GCF of Fractions for 81/33, 61/58, 616/698 is 1/667986.