How to Find GCF of 74/739, 31/380, 334/602?

GCF of 74/739, 31/380, 334/602

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 74/739, 31/380, 334/602 i.e 1/84526820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 74/739, 31/380, 334/602.

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 74/739,31/380,334/602?

Given fractions are 74/739,31/380,334/602

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 74/739,31/380,334/602, numerators are 74,31,334

Denominators are 739,380,602

The GCF of 74,31,334 is 1 .

LCM of 739,380,602 is 84526820.

The greatest common factor of 74/739,31/380,334/602 = [GCF of 74,31,334]/[LCM of 739,380,602]= 1/84526820

Therefore, the GCF of 74/739,31/380,334/602 is 1/84526820.

Greatest Common Factor of 74,31,334

To find the highest common factor of 74,31,334, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 31 are 1, 31

The factors of 334 are 1, 2, 167, 334

The HCF of 74,31,334 is 1.

Lets's calculate GCF of 74,31,334

Greatest Common Factor (GCF) of 74,31,334 By Common Division

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

Greatest Common Factor of 74,31,334 By Matching Biggest Common Factor Method

Now, list down the factors of 74

1,2,37,74

Now, list down the factors of 31

1,31

Now, list down the factors of 334

1,2,167,334

Greatest Common Factor

We found the factors 74,31,334 . The biggest common factor number is the GCF number.
So the greatest common factor 74,31,334 is 1.

Lets's calculate LCM of 739,380,602

Lowest Common Multiple of 739,380,602 using Common Division

2	739, 380, 602
	739, 190, 301

∴ So the LCM of the given numbers is 2 x 739 x 190 x 301 = 84526820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84526820

Therefore, the GCF of Fractions 74/739,31/380,334/602 is 1/84526820

Least Common Multiple of 739,380,602 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 739,380,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(739,380,602) = 1

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

GCF(739,380,602) x common factors =1 x 2 = 2

LCM(739,380,602) = ( 739 × 380 × 602 ) / 2

LCM(739,380,602) = 169053640 / 2

LCM(739,380,602) = 84526820

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 74/739, 31/380, 334/602

1. What is the HCF of 74,31,334?

The HCF of 74,31,334 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 74/739, 31/380, 334/602?

Answer: GCF of Numerators as per given numbers 74/739, 31/380, 334/602 is

GCF of Numerators i.e. for 74,31,334 is 1

LCM of denominators i.e. for 739,380,602 is 84526820.

Thus, GCF of Fractions is 1/84526820.Finally, GCF of Fractions for 74/739, 31/380, 334/602 is 1/84526820.