Greatest Common Factor of 514/482, 1081/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 514/482, 1081/475

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 514/482,1081/475

Given fractions are 514/482,1081/475

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 514,1081

Greatest Common Factor of Numerators i.e. GCF of 514,1081 is 1 .

LCM of Denominators means LCM of 482,475 as per the given fractions.

LCM of 482,475 is 228950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 514,1081

GCF of Fractions 514/482,1081/475 is 1/228950

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

Greatest Common Factor of 514,1081 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,1081 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 1081

List of positive integer factors of 1081 that divides 1081 without a remainder.

1,23,47,1081

Greatest Common Factor

We found the factors 514,1081 . The biggest common factor number is the GCF number.
So the greatest common factor 514,1081 is 1.

Lets's calculate LCM of 482,475

Given numbers has no common factors except 1. So, there LCM is their product i.e 228950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228950

Therefore, the GCF of Fractions 514/482,1081/475 is 1/228950

Least Common Multiple of 482,475 with GCF Formula

Least Common Multiple of 482,475 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 482,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,475) = 1

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

GCF(482,475) x common factors =1 x 1 = 1

LCM(482,475) = ( 482 × 475 ) / 1

LCM(482,475) = 228950 / 1

LCM(482,475) = 228950


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 514/482, 1081/475

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 514/482, 1081/475?

Answer: GCF of Numerators as per given numbers 514/482, 1081/475 is

GCF of Numerators i.e. for 514,1081 is 1

LCM of denominators i.e. for 482,475 is 228950.

Thus, GCF of Fractions is 1/228950.Finally, GCF of Fractions for 514/482, 1081/475 is 1/228950.