Greatest Common Factor of 457/523, 502/898, 222/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 457/523, 502/898, 222/624

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 457/523,502/898,222/624

Given fractions are 457/523,502/898,222/624

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 457,502,222

Greatest Common Factor of Numerators i.e. GCF of 457,502,222 is 1 .

LCM of Denominators means LCM of 523,898,624 as per the given fractions.

LCM of 523,898,624 is 146532048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 457,502,222

GCF of Fractions 457/523,502/898,222/624 is 1/146532048

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

Greatest Common Factor of 457,502,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,502,222 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 457,502,222 . The biggest common factor number is the GCF number.
So the greatest common factor 457,502,222 is 1.

Lets's calculate LCM of 523,898,624

2 523, 898, 624
523, 449, 312

∴ So the LCM of the given numbers is 2 x 523 x 449 x 312 = 146532048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146532048

Therefore, the GCF of Fractions 457/523,502/898,222/624 is 1/146532048

Least Common Multiple of 523,898,624 with GCF Formula

Least Common Multiple of 523,898,624 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 523,898,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,898,624) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(523,898,624) x common factors =1 x 2 = 2

LCM(523,898,624) = ( 523 × 898 × 624 ) / 2

LCM(523,898,624) = 293064096 / 2

LCM(523,898,624) = 146532048


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 457/523, 502/898, 222/624

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 457/523, 502/898, 222/624?

Answer: GCF of Numerators as per given numbers 457/523, 502/898, 222/624 is

GCF of Numerators i.e. for 457,502,222 is 1

LCM of denominators i.e. for 523,898,624 is 146532048.

Thus, GCF of Fractions is 1/146532048.Finally, GCF of Fractions for 457/523, 502/898, 222/624 is 1/146532048.