Greatest Common Factor of 728/953, 435/459, 264/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 728/953, 435/459, 264/312

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 728/953,435/459,264/312

Given fractions are 728/953,435/459,264/312

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 728,435,264

Greatest Common Factor of Numerators i.e. GCF of 728,435,264 is 1 .

LCM of Denominators means LCM of 953,459,312 as per the given fractions.

LCM of 953,459,312 is 45492408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 728,435,264

GCF of Fractions 728/953,435/459,264/312 is 1/45492408

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

Greatest Common Factor of 728,435,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,435,264 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 728,435,264 . The biggest common factor number is the GCF number.
So the greatest common factor 728,435,264 is 1.

Lets's calculate LCM of 953,459,312

3 953, 459, 312
953, 153, 104

∴ So the LCM of the given numbers is 3 x 953 x 153 x 104 = 45492408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45492408

Therefore, the GCF of Fractions 728/953,435/459,264/312 is 1/45492408

Least Common Multiple of 953,459,312 with GCF Formula

Least Common Multiple of 953,459,312 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 953,459,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,459,312) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(953,459,312) x common factors =1 x 3 = 3

LCM(953,459,312) = ( 953 × 459 × 312 ) / 3

LCM(953,459,312) = 136477224 / 3

LCM(953,459,312) = 45492408


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 728/953, 435/459, 264/312

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 728/953, 435/459, 264/312?

Answer: GCF of Numerators as per given numbers 728/953, 435/459, 264/312 is

GCF of Numerators i.e. for 728,435,264 is 1

LCM of denominators i.e. for 953,459,312 is 45492408.

Thus, GCF of Fractions is 1/45492408.Finally, GCF of Fractions for 728/953, 435/459, 264/312 is 1/45492408.