Greatest Common Factor of 669/78, 427/34, 941/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 669/78, 427/34, 941/282

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 669/78,427/34,941/282

Given fractions are 669/78,427/34,941/282

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 669,427,941

Greatest Common Factor of Numerators i.e. GCF of 669,427,941 is 1 .

LCM of Denominators means LCM of 78,34,282 as per the given fractions.

LCM of 78,34,282 is 62322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 669,427,941

GCF of Fractions 669/78,427/34,941/282 is 1/62322

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

Greatest Common Factor of 669,427,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,427,941 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 669,427,941 . The biggest common factor number is the GCF number.
So the greatest common factor 669,427,941 is 1.

Lets's calculate LCM of 78,34,282

2 78, 34, 282
3 39, 17, 141
13, 17, 47

∴ So the LCM of the given numbers is 2 x 3 x 13 x 17 x 47 = 62322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62322

Therefore, the GCF of Fractions 669/78,427/34,941/282 is 1/62322

Least Common Multiple of 78,34,282 with GCF Formula

Least Common Multiple of 78,34,282 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 78,34,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,34,282) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,34,282) x common factors =2 x 6 = 12

LCM(78,34,282) = ( 78 × 34 × 282 ) / 12

LCM(78,34,282) = 747864 / 12

LCM(78,34,282) = 62322


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 669/78, 427/34, 941/282

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 669/78, 427/34, 941/282?

Answer: GCF of Numerators as per given numbers 669/78, 427/34, 941/282 is

GCF of Numerators i.e. for 669,427,941 is 1

LCM of denominators i.e. for 78,34,282 is 62322.

Thus, GCF of Fractions is 1/62322.Finally, GCF of Fractions for 669/78, 427/34, 941/282 is 1/62322.