Greatest Common Factor of 55/153, 524/633, 311/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/153, 524/633, 311/434

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 55/153,524/633,311/434

Given fractions are 55/153,524/633,311/434

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 55,524,311

Greatest Common Factor of Numerators i.e. GCF of 55,524,311 is 1 .

LCM of Denominators means LCM of 153,633,434 as per the given fractions.

LCM of 153,633,434 is 14010822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,524,311

GCF of Fractions 55/153,524/633,311/434 is 1/14010822

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

Greatest Common Factor of 55,524,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,524,311 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 55,524,311 . The biggest common factor number is the GCF number.
So the greatest common factor 55,524,311 is 1.

Lets's calculate LCM of 153,633,434

3 153, 633, 434
51, 211, 434

∴ So the LCM of the given numbers is 3 x 51 x 211 x 434 = 14010822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14010822

Therefore, the GCF of Fractions 55/153,524/633,311/434 is 1/14010822

Least Common Multiple of 153,633,434 with GCF Formula

Least Common Multiple of 153,633,434 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 153,633,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,633,434) = 1

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

GCF(153,633,434) x common factors =1 x 3 = 3

LCM(153,633,434) = ( 153 × 633 × 434 ) / 3

LCM(153,633,434) = 42032466 / 3

LCM(153,633,434) = 14010822


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 55/153, 524/633, 311/434

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 55/153, 524/633, 311/434?

Answer: GCF of Numerators as per given numbers 55/153, 524/633, 311/434 is

GCF of Numerators i.e. for 55,524,311 is 1

LCM of denominators i.e. for 153,633,434 is 14010822.

Thus, GCF of Fractions is 1/14010822.Finally, GCF of Fractions for 55/153, 524/633, 311/434 is 1/14010822.