How to Find GCF of 49/585, 479/345, 369/739?

GCF of 49/585, 479/345, 369/739

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 49/585, 479/345, 369/739 i.e 1/9943245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/585, 479/345, 369/739.

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 49/585,479/345,369/739?

Given fractions are 49/585,479/345,369/739

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 49/585,479/345,369/739, numerators are 49,479,369

Denominators are 585,345,739

The GCF of 49,479,369 is 1 .

LCM of 585,345,739 is 9943245.

The greatest common factor of 49/585,479/345,369/739 = [GCF of 49,479,369]/[LCM of 585,345,739]= 1/9943245

Therefore, the GCF of 49/585,479/345,369/739 is 1/9943245.

Greatest Common Factor of 49,479,369

To find the highest common factor of 49,479,369, we have to find the factors of both numbers and list the highest common factor.

The factors of 49 are 1, 7, 49

The factors of 479 are 1, 479

The factors of 369 are 1, 3, 9, 41, 123, 369

The HCF of 49,479,369 is 1.

Lets's calculate GCF of 49,479,369

Greatest Common Factor (GCF) of 49,479,369 By Common Division

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

Greatest Common Factor of 49,479,369 By Matching Biggest Common Factor Method

Now, list down the factors of 49

1,7,49

Now, list down the factors of 479

1,479

Now, list down the factors of 369

1,3,9,41,123,369

Greatest Common Factor

We found the factors 49,479,369 . The biggest common factor number is the GCF number.
So the greatest common factor 49,479,369 is 1.

Lets's calculate LCM of 585,345,739

Lowest Common Multiple of 585,345,739 using Common Division

3	585, 345, 739
5	195, 115, 739
	39, 23, 739

∴ So the LCM of the given numbers is 3 x 5 x 39 x 23 x 739 = 9943245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9943245

Therefore, the GCF of Fractions 49/585,479/345,369/739 is 1/9943245

Least Common Multiple of 585,345,739 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 585,345,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,345,739) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(585,345,739) x common factors =1 x 15 = 15

LCM(585,345,739) = ( 585 × 345 × 739 ) / 15

LCM(585,345,739) = 149148675 / 15

LCM(585,345,739) = 9943245

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 49/585, 479/345, 369/739

1. What is the HCF of 49,479,369?

The HCF of 49,479,369 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 49/585, 479/345, 369/739?

Answer: GCF of Numerators as per given numbers 49/585, 479/345, 369/739 is

GCF of Numerators i.e. for 49,479,369 is 1

LCM of denominators i.e. for 585,345,739 is 9943245.

Thus, GCF of Fractions is 1/9943245.Finally, GCF of Fractions for 49/585, 479/345, 369/739 is 1/9943245.