Greatest Common Factor of 4812/10, 1523/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4812/10, 1523/425

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 4812/10,1523/425

Given fractions are 4812/10,1523/425

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 4812,1523

Greatest Common Factor of Numerators i.e. GCF of 4812,1523 is 1 .

LCM of Denominators means LCM of 10,425 as per the given fractions.

LCM of 10,425 is 850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4812,1523

GCF of Fractions 4812/10,1523/425 is 1/850

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

Greatest Common Factor of 4812,1523 By Matching Biggest Common Factor Method

Greatest Common Factor of 4812,1523 By Matching Biggest Common Factor Method

Factors of 4812

List of positive integer factors of 4812 that divides 4812 without a remainder.

1,2,3,4,6,12,401,802,1203,1604,2406,4812

Factors of 1523

List of positive integer factors of 1523 that divides 1523 without a remainder.

1,1523

Greatest Common Factor

We found the factors 4812,1523 . The biggest common factor number is the GCF number.
So the greatest common factor 4812,1523 is 1.

Lets's calculate LCM of 10,425

5 10, 425
2, 85

∴ So the LCM of the given numbers is 5 x 2 x 85 = 850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/850

Therefore, the GCF of Fractions 4812/10,1523/425 is 1/850

Least Common Multiple of 10,425 with GCF Formula

Least Common Multiple of 10,425 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 10,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,425) = 5

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

GCF(10,425) x common factors =5 x 1 = 5

LCM(10,425) = ( 10 × 425 ) / 5

LCM(10,425) = 4250 / 5

LCM(10,425) = 850


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 4812/10, 1523/425

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 4812/10, 1523/425?

Answer: GCF of Numerators as per given numbers 4812/10, 1523/425 is

GCF of Numerators i.e. for 4812,1523 is 1

LCM of denominators i.e. for 10,425 is 850.

Thus, GCF of Fractions is 1/850.Finally, GCF of Fractions for 4812/10, 1523/425 is 1/850.