Greatest Common Factor of 385/58, 835/35, 147/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 385/58, 835/35, 147/283

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 385/58,835/35,147/283

Given fractions are 385/58,835/35,147/283

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 385,835,147

Greatest Common Factor of Numerators i.e. GCF of 385,835,147 is 1 .

LCM of Denominators means LCM of 58,35,283 as per the given fractions.

LCM of 58,35,283 is 574490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 385,835,147

GCF of Fractions 385/58,835/35,147/283 is 1/574490

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

Greatest Common Factor of 385,835,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,835,147 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 385,835,147 . The biggest common factor number is the GCF number.
So the greatest common factor 385,835,147 is 1.

Lets's calculate LCM of 58,35,283

Given numbers has no common factors except 1. So, there LCM is their product i.e 574490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/574490

Therefore, the GCF of Fractions 385/58,835/35,147/283 is 1/574490

Least Common Multiple of 58,35,283 with GCF Formula

Least Common Multiple of 58,35,283 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 58,35,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,35,283) = 1

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

GCF(58,35,283) x common factors =1 x 1 = 1

LCM(58,35,283) = ( 58 × 35 × 283 ) / 1

LCM(58,35,283) = 574490 / 1

LCM(58,35,283) = 574490


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 385/58, 835/35, 147/283

1. 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.

2. What is the GCF of Fractions for 385/58, 835/35, 147/283?

Answer: GCF of Numerators as per given numbers 385/58, 835/35, 147/283 is

GCF of Numerators i.e. for 385,835,147 is 1

LCM of denominators i.e. for 58,35,283 is 574490.

Thus, GCF of Fractions is 1/574490.Finally, GCF of Fractions for 385/58, 835/35, 147/283 is 1/574490.