Greatest Common Factor of 4823/48, 3160/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4823/48, 3160/314

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 4823/48,3160/314

Given fractions are 4823/48,3160/314

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 4823,3160

Greatest Common Factor of Numerators i.e. GCF of 4823,3160 is 1 .

LCM of Denominators means LCM of 48,314 as per the given fractions.

LCM of 48,314 is 7536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4823,3160

GCF of Fractions 4823/48,3160/314 is 1/7536

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

Greatest Common Factor of 4823,3160 By Matching Biggest Common Factor Method

Greatest Common Factor of 4823,3160 By Matching Biggest Common Factor Method

Factors of 4823

List of positive integer factors of 4823 that divides 4823 without a remainder.

1,7,13,53,91,371,689,4823

Factors of 3160

List of positive integer factors of 3160 that divides 3160 without a remainder.

1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160

Greatest Common Factor

We found the factors 4823,3160 . The biggest common factor number is the GCF number.
So the greatest common factor 4823,3160 is 1.

Lets's calculate LCM of 48,314

2 48, 314
24, 157

∴ So the LCM of the given numbers is 2 x 24 x 157 = 7536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7536

Therefore, the GCF of Fractions 4823/48,3160/314 is 1/7536

Least Common Multiple of 48,314 with GCF Formula

Least Common Multiple of 48,314 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 48,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,314) = 2

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

GCF(48,314) x common factors =2 x 1 = 2

LCM(48,314) = ( 48 × 314 ) / 2

LCM(48,314) = 15072 / 2

LCM(48,314) = 7536


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 4823/48, 3160/314

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 4823/48, 3160/314?

Answer: GCF of Numerators as per given numbers 4823/48, 3160/314 is

GCF of Numerators i.e. for 4823,3160 is 1

LCM of denominators i.e. for 48,314 is 7536.

Thus, GCF of Fractions is 1/7536.Finally, GCF of Fractions for 4823/48, 3160/314 is 1/7536.