How to Find GCF of 73/356, 74/610, 559/854?

GCF of 73/356, 74/610, 559/854

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 73/356, 74/610, 559/854 i.e 1/760060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/356, 74/610, 559/854.

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 73/356,74/610,559/854?

Given fractions are 73/356,74/610,559/854

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 73/356,74/610,559/854, numerators are 73,74,559

Denominators are 356,610,854

The GCF of 73,74,559 is 1 .

LCM of 356,610,854 is 760060.

The greatest common factor of 73/356,74/610,559/854 = [GCF of 73,74,559]/[LCM of 356,610,854]= 1/760060

Therefore, the GCF of 73/356,74/610,559/854 is 1/760060.

Greatest Common Factor of 73,74,559

To find the highest common factor of 73,74,559, we have to find the factors of both numbers and list the highest common factor.

The factors of 73 are 1, 73

The factors of 74 are 1, 2, 37, 74

The factors of 559 are 1, 13, 43, 559

The HCF of 73,74,559 is 1.

Lets's calculate GCF of 73,74,559

Greatest Common Factor (GCF) of 73,74,559 By Common Division

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

Greatest Common Factor of 73,74,559 By Matching Biggest Common Factor Method

Now, list down the factors of 73

1,73

Now, list down the factors of 74

1,2,37,74

Now, list down the factors of 559

1,13,43,559

Greatest Common Factor

We found the factors 73,74,559 . The biggest common factor number is the GCF number.
So the greatest common factor 73,74,559 is 1.

Lets's calculate LCM of 356,610,854

Lowest Common Multiple of 356,610,854 using Common Division

2	356, 610, 854
61	178, 305, 427
	178, 5, 7

∴ So the LCM of the given numbers is 2 x 61 x 178 x 5 x 7 = 760060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/760060

Therefore, the GCF of Fractions 73/356,74/610,559/854 is 1/760060

Least Common Multiple of 356,610,854 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 356,610,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,610,854) = 2

common factors(in case of two or more numbers have common factors) = 122

GCF(356,610,854) x common factors =2 x 122 = 244

LCM(356,610,854) = ( 356 × 610 × 854 ) / 244

LCM(356,610,854) = 185454640 / 244

LCM(356,610,854) = 760060

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FAQs on GCF of Fractions of 73/356, 74/610, 559/854

1. What is the HCF of 73,74,559?

The HCF of 73,74,559 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 73/356, 74/610, 559/854?

Answer: GCF of Numerators as per given numbers 73/356, 74/610, 559/854 is

GCF of Numerators i.e. for 73,74,559 is 1

LCM of denominators i.e. for 356,610,854 is 760060.

Thus, GCF of Fractions is 1/760060.Finally, GCF of Fractions for 73/356, 74/610, 559/854 is 1/760060.