Greatest Common Factor of 553/67, 301/85, 458/29

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 553/67, 301/85, 458/29

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 553/67,301/85,458/29

Given fractions are 553/67,301/85,458/29

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 553,301,458

Greatest Common Factor of Numerators i.e. GCF of 553,301,458 is 1 .

LCM of Denominators means LCM of 67,85,29 as per the given fractions.

LCM of 67,85,29 is 165155 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 553,301,458

GCF of Fractions 553/67,301/85,458/29 is 1/165155

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

Greatest Common Factor of 553,301,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,301,458 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 553,301,458 . The biggest common factor number is the GCF number.
So the greatest common factor 553,301,458 is 1.

Lets's calculate LCM of 67,85,29

Given numbers has no common factors except 1. So, there LCM is their product i.e 165155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165155

Therefore, the GCF of Fractions 553/67,301/85,458/29 is 1/165155

Least Common Multiple of 67,85,29 with GCF Formula

Least Common Multiple of 67,85,29 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 67,85,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,85,29) = 1

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

GCF(67,85,29) x common factors =1 x 1 = 1

LCM(67,85,29) = ( 67 × 85 × 29 ) / 1

LCM(67,85,29) = 165155 / 1

LCM(67,85,29) = 165155


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 553/67, 301/85, 458/29

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 553/67, 301/85, 458/29?

Answer: GCF of Numerators as per given numbers 553/67, 301/85, 458/29 is

GCF of Numerators i.e. for 553,301,458 is 1

LCM of denominators i.e. for 67,85,29 is 165155.

Thus, GCF of Fractions is 1/165155.Finally, GCF of Fractions for 553/67, 301/85, 458/29 is 1/165155.