How to Find GCF of 58/49, 604/47, 455/286?

GCF of 58/49, 604/47, 455/286

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 58/49, 604/47, 455/286 i.e 1/658658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 58/49, 604/47, 455/286.

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 58/49,604/47,455/286?

Given fractions are 58/49,604/47,455/286

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 58/49,604/47,455/286, numerators are 58,604,455

Denominators are 49,47,286

The GCF of 58,604,455 is 1 .

LCM of 49,47,286 is 658658.

The greatest common factor of 58/49,604/47,455/286 = [GCF of 58,604,455]/[LCM of 49,47,286]= 1/658658

Therefore, the GCF of 58/49,604/47,455/286 is 1/658658.

Greatest Common Factor of 58,604,455

To find the highest common factor of 58,604,455, we have to find the factors of both numbers and list the highest common factor.

The factors of 58 are 1, 2, 29, 58

The factors of 604 are 1, 2, 4, 151, 302, 604

The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455

The HCF of 58,604,455 is 1.

Lets's calculate GCF of 58,604,455

Greatest Common Factor (GCF) of 58,604,455 By Common Division

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

Greatest Common Factor of 58,604,455 By Matching Biggest Common Factor Method

Now, list down the factors of 58

1,2,29,58

Now, list down the factors of 604

1,2,4,151,302,604

Now, list down the factors of 455

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 58,604,455 . The biggest common factor number is the GCF number.
So the greatest common factor 58,604,455 is 1.

Lets's calculate LCM of 49,47,286

Lowest Common Multiple of 49,47,286 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 658658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/658658

Therefore, the GCF of Fractions 58/49,604/47,455/286 is 1/658658

Least Common Multiple of 49,47,286 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 49,47,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,47,286) = 1

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

GCF(49,47,286) x common factors =1 x 1 = 1

LCM(49,47,286) = ( 49 × 47 × 286 ) / 1

LCM(49,47,286) = 658658 / 1

LCM(49,47,286) = 658658

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FAQs on GCF of Fractions of 58/49, 604/47, 455/286

1. What is the HCF of 58,604,455?

The HCF of 58,604,455 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 58/49, 604/47, 455/286?

Answer: GCF of Numerators as per given numbers 58/49, 604/47, 455/286 is

GCF of Numerators i.e. for 58,604,455 is 1

LCM of denominators i.e. for 49,47,286 is 658658.

Thus, GCF of Fractions is 1/658658.Finally, GCF of Fractions for 58/49, 604/47, 455/286 is 1/658658.