Greatest Common Factor of 4872/31, 3514/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4872/31, 3514/444

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 4872/31,3514/444

Given fractions are 4872/31,3514/444

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 4872,3514

Greatest Common Factor of Numerators i.e. GCF of 4872,3514 is 14 .

LCM of Denominators means LCM of 31,444 as per the given fractions.

LCM of 31,444 is 13764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4872,3514

GCF of Fractions 4872/31,3514/444 is 14/13764

2 4872, 3514
7 2436, 1757
348, 251

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 4872,3514 By Matching Biggest Common Factor Method

Greatest Common Factor of 4872,3514 By Matching Biggest Common Factor Method

Factors of 4872

List of positive integer factors of 4872 that divides 4872 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872

Factors of 3514

List of positive integer factors of 3514 that divides 3514 without a remainder.

1,2,7,14,251,502,1757,3514

Greatest Common Factor

We found the factors 4872,3514 . The biggest common factor number is the GCF number.
So the greatest common factor 4872,3514 is 14.

Lets's calculate LCM of 31,444

Given numbers has no common factors except 1. So, there LCM is their product i.e 13764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/13764

Therefore, the GCF of Fractions 4872/31,3514/444 is 14/13764

Least Common Multiple of 31,444 with GCF Formula

Least Common Multiple of 31,444 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 31,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,444) = 1

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

GCF(31,444) x common factors =1 x 1 = 1

LCM(31,444) = ( 31 × 444 ) / 1

LCM(31,444) = 13764 / 1

LCM(31,444) = 13764


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 4872/31, 3514/444

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 4872/31, 3514/444?

Answer: GCF of Numerators as per given numbers 4872/31, 3514/444 is

GCF of Numerators i.e. for 4872,3514 is 14

LCM of denominators i.e. for 31,444 is 13764.

Thus, GCF of Fractions is 14/13764.Finally, GCF of Fractions for 4872/31, 3514/444 is 14/13764.