Greatest Common Factor of 1058/845, 5454/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1058/845, 5454/482

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 1058/845,5454/482

Given fractions are 1058/845,5454/482

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 1058,5454

Greatest Common Factor of Numerators i.e. GCF of 1058,5454 is 2 .

LCM of Denominators means LCM of 845,482 as per the given fractions.

LCM of 845,482 is 407290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1058,5454

GCF of Fractions 1058/845,5454/482 is 2/407290

2 1058, 5454
529, 2727

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1058,5454 By Matching Biggest Common Factor Method

Greatest Common Factor of 1058,5454 By Matching Biggest Common Factor Method

Factors of 1058

List of positive integer factors of 1058 that divides 1058 without a remainder.

1,2,23,46,529,1058

Factors of 5454

List of positive integer factors of 5454 that divides 5454 without a remainder.

1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454

Greatest Common Factor

We found the factors 1058,5454 . The biggest common factor number is the GCF number.
So the greatest common factor 1058,5454 is 2.

Lets's calculate LCM of 845,482

Given numbers has no common factors except 1. So, there LCM is their product i.e 407290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/407290

Therefore, the GCF of Fractions 1058/845,5454/482 is 2/407290

Least Common Multiple of 845,482 with GCF Formula

Least Common Multiple of 845,482 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 845,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,482) = 1

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

GCF(845,482) x common factors =1 x 1 = 1

LCM(845,482) = ( 845 × 482 ) / 1

LCM(845,482) = 407290 / 1

LCM(845,482) = 407290


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1058/845, 5454/482

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 1058/845, 5454/482?

Answer: GCF of Numerators as per given numbers 1058/845, 5454/482 is

GCF of Numerators i.e. for 1058,5454 is 2

LCM of denominators i.e. for 845,482 is 407290.

Thus, GCF of Fractions is 2/407290.Finally, GCF of Fractions for 1058/845, 5454/482 is 2/407290.