Greatest Common Factor of 4125/112, 5351/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4125/112, 5351/459

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 4125/112,5351/459

Given fractions are 4125/112,5351/459

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 4125,5351

Greatest Common Factor of Numerators i.e. GCF of 4125,5351 is 1 .

LCM of Denominators means LCM of 112,459 as per the given fractions.

LCM of 112,459 is 51408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4125,5351

GCF of Fractions 4125/112,5351/459 is 1/51408

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

Greatest Common Factor of 4125,5351 By Matching Biggest Common Factor Method

Greatest Common Factor of 4125,5351 By Matching Biggest Common Factor Method

Factors of 4125

List of positive integer factors of 4125 that divides 4125 without a remainder.

1,3,5,11,15,25,33,55,75,125,165,275,375,825,1375,4125

Factors of 5351

List of positive integer factors of 5351 that divides 5351 without a remainder.

1,5351

Greatest Common Factor

We found the factors 4125,5351 . The biggest common factor number is the GCF number.
So the greatest common factor 4125,5351 is 1.

Lets's calculate LCM of 112,459

Given numbers has no common factors except 1. So, there LCM is their product i.e 51408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51408

Therefore, the GCF of Fractions 4125/112,5351/459 is 1/51408

Least Common Multiple of 112,459 with GCF Formula

Least Common Multiple of 112,459 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 112,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,459) = 1

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

GCF(112,459) x common factors =1 x 1 = 1

LCM(112,459) = ( 112 × 459 ) / 1

LCM(112,459) = 51408 / 1

LCM(112,459) = 51408


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 4125/112, 5351/459

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 4125/112, 5351/459?

Answer: GCF of Numerators as per given numbers 4125/112, 5351/459 is

GCF of Numerators i.e. for 4125,5351 is 1

LCM of denominators i.e. for 112,459 is 51408.

Thus, GCF of Fractions is 1/51408.Finally, GCF of Fractions for 4125/112, 5351/459 is 1/51408.