Greatest Common Factor of 694/52, 353/33, 411/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/52, 353/33, 411/499

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 694/52,353/33,411/499

Given fractions are 694/52,353/33,411/499

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 694,353,411

Greatest Common Factor of Numerators i.e. GCF of 694,353,411 is 1 .

LCM of Denominators means LCM of 52,33,499 as per the given fractions.

LCM of 52,33,499 is 856284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,353,411

GCF of Fractions 694/52,353/33,411/499 is 1/856284

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

Greatest Common Factor of 694,353,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,353,411 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 694,353,411 . The biggest common factor number is the GCF number.
So the greatest common factor 694,353,411 is 1.

Lets's calculate LCM of 52,33,499

Given numbers has no common factors except 1. So, there LCM is their product i.e 856284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/856284

Therefore, the GCF of Fractions 694/52,353/33,411/499 is 1/856284

Least Common Multiple of 52,33,499 with GCF Formula

Least Common Multiple of 52,33,499 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 52,33,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,33,499) = 1

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

GCF(52,33,499) x common factors =1 x 1 = 1

LCM(52,33,499) = ( 52 × 33 × 499 ) / 1

LCM(52,33,499) = 856284 / 1

LCM(52,33,499) = 856284


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 694/52, 353/33, 411/499

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 694/52, 353/33, 411/499?

Answer: GCF of Numerators as per given numbers 694/52, 353/33, 411/499 is

GCF of Numerators i.e. for 694,353,411 is 1

LCM of denominators i.e. for 52,33,499 is 856284.

Thus, GCF of Fractions is 1/856284.Finally, GCF of Fractions for 694/52, 353/33, 411/499 is 1/856284.