Greatest Common Factor of 1425/874, 1348/5213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1425/874, 1348/5213

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 1425/874,1348/5213

Given fractions are 1425/874,1348/5213

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 1425,1348

Greatest Common Factor of Numerators i.e. GCF of 1425,1348 is 1 .

LCM of Denominators means LCM of 874,5213 as per the given fractions.

LCM of 874,5213 is 4556162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1425,1348

GCF of Fractions 1425/874,1348/5213 is 1/4556162

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

Greatest Common Factor of 1425,1348 By Matching Biggest Common Factor Method

Greatest Common Factor of 1425,1348 By Matching Biggest Common Factor Method

Factors of 1425

List of positive integer factors of 1425 that divides 1425 without a remainder.

1,3,5,15,19,25,57,75,95,285,475,1425

Factors of 1348

List of positive integer factors of 1348 that divides 1348 without a remainder.

1,2,4,337,674,1348

Greatest Common Factor

We found the factors 1425,1348 . The biggest common factor number is the GCF number.
So the greatest common factor 1425,1348 is 1.

Lets's calculate LCM of 874,5213

Given numbers has no common factors except 1. So, there LCM is their product i.e 4556162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4556162

Therefore, the GCF of Fractions 1425/874,1348/5213 is 1/4556162

Least Common Multiple of 874,5213 with GCF Formula

Least Common Multiple of 874,5213 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 874,5213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,5213) = 1

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

GCF(874,5213) x common factors =1 x 1 = 1

LCM(874,5213) = ( 874 × 5213 ) / 1

LCM(874,5213) = 4556162 / 1

LCM(874,5213) = 4556162


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 1425/874, 1348/5213

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 1425/874, 1348/5213?

Answer: GCF of Numerators as per given numbers 1425/874, 1348/5213 is

GCF of Numerators i.e. for 1425,1348 is 1

LCM of denominators i.e. for 874,5213 is 4556162.

Thus, GCF of Fractions is 1/4556162.Finally, GCF of Fractions for 1425/874, 1348/5213 is 1/4556162.