Greatest Common Factor of 488/58, 836/1461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 488/58, 836/1461

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 488/58,836/1461

Given fractions are 488/58,836/1461

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 488,836

Greatest Common Factor of Numerators i.e. GCF of 488,836 is 4 .

LCM of Denominators means LCM of 58,1461 as per the given fractions.

LCM of 58,1461 is 84738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 488,836

GCF of Fractions 488/58,836/1461 is 4/84738

2 488, 836
2 244, 418
122, 209

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 488,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,836 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 488,836 . The biggest common factor number is the GCF number.
So the greatest common factor 488,836 is 4.

Lets's calculate LCM of 58,1461

Given numbers has no common factors except 1. So, there LCM is their product i.e 84738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/84738

Therefore, the GCF of Fractions 488/58,836/1461 is 4/84738

Least Common Multiple of 58,1461 with GCF Formula

Least Common Multiple of 58,1461 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 58,1461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,1461) = 1

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

GCF(58,1461) x common factors =1 x 1 = 1

LCM(58,1461) = ( 58 × 1461 ) / 1

LCM(58,1461) = 84738 / 1

LCM(58,1461) = 84738


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 488/58, 836/1461

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 488/58, 836/1461?

Answer: GCF of Numerators as per given numbers 488/58, 836/1461 is

GCF of Numerators i.e. for 488,836 is 4

LCM of denominators i.e. for 58,1461 is 84738.

Thus, GCF of Fractions is 4/84738.Finally, GCF of Fractions for 488/58, 836/1461 is 4/84738.