Greatest Common Factor of 1460/43, 4868/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1460/43, 4868/457

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 1460/43,4868/457

Given fractions are 1460/43,4868/457

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 1460,4868

Greatest Common Factor of Numerators i.e. GCF of 1460,4868 is 4 .

LCM of Denominators means LCM of 43,457 as per the given fractions.

LCM of 43,457 is 19651 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1460,4868

GCF of Fractions 1460/43,4868/457 is 4/19651

2 1460, 4868
2 730, 2434
365, 1217

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

Greatest Common Factor of 1460,4868 By Matching Biggest Common Factor Method

Greatest Common Factor of 1460,4868 By Matching Biggest Common Factor Method

Factors of 1460

List of positive integer factors of 1460 that divides 1460 without a remainder.

1,2,4,5,10,20,73,146,292,365,730,1460

Factors of 4868

List of positive integer factors of 4868 that divides 4868 without a remainder.

1,2,4,1217,2434,4868

Greatest Common Factor

We found the factors 1460,4868 . The biggest common factor number is the GCF number.
So the greatest common factor 1460,4868 is 4.

Lets's calculate LCM of 43,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 19651

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/19651

Therefore, the GCF of Fractions 1460/43,4868/457 is 4/19651

Least Common Multiple of 43,457 with GCF Formula

Least Common Multiple of 43,457 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 43,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,457) = 1

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

GCF(43,457) x common factors =1 x 1 = 1

LCM(43,457) = ( 43 × 457 ) / 1

LCM(43,457) = 19651 / 1

LCM(43,457) = 19651


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 1460/43, 4868/457

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 1460/43, 4868/457?

Answer: GCF of Numerators as per given numbers 1460/43, 4868/457 is

GCF of Numerators i.e. for 1460,4868 is 4

LCM of denominators i.e. for 43,457 is 19651.

Thus, GCF of Fractions is 4/19651.Finally, GCF of Fractions for 1460/43, 4868/457 is 4/19651.