Greatest Common Factor of 233/924, 967/693, 349/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 233/924, 967/693, 349/534

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 233/924,967/693,349/534

Given fractions are 233/924,967/693,349/534

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 233,967,349

Greatest Common Factor of Numerators i.e. GCF of 233,967,349 is 1 .

LCM of Denominators means LCM of 924,693,534 as per the given fractions.

LCM of 924,693,534 is 246708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 233,967,349

GCF of Fractions 233/924,967/693,349/534 is 1/246708

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

Greatest Common Factor of 233,967,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,967,349 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 233,967,349 . The biggest common factor number is the GCF number.
So the greatest common factor 233,967,349 is 1.

Lets's calculate LCM of 924,693,534

2 924, 693, 534
3 462, 693, 267
7 154, 231, 89
11 22, 33, 89
2, 3, 89

∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 2 x 3 x 89 = 246708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/246708

Therefore, the GCF of Fractions 233/924,967/693,349/534 is 1/246708

Least Common Multiple of 924,693,534 with GCF Formula

Least Common Multiple of 924,693,534 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 924,693,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,693,534) = 3

common factors(in case of two or more numbers have common factors) = 462

GCF(924,693,534) x common factors =3 x 462 = 1386

LCM(924,693,534) = ( 924 × 693 × 534 ) / 1386

LCM(924,693,534) = 341937288 / 1386

LCM(924,693,534) = 246708


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 233/924, 967/693, 349/534

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 233/924, 967/693, 349/534?

Answer: GCF of Numerators as per given numbers 233/924, 967/693, 349/534 is

GCF of Numerators i.e. for 233,967,349 is 1

LCM of denominators i.e. for 924,693,534 is 246708.

Thus, GCF of Fractions is 1/246708.Finally, GCF of Fractions for 233/924, 967/693, 349/534 is 1/246708.