GCD of 744, 309, 371, 141 Calculator

Given Input numbers are 744, 309, 371, 141

In the factoring method, we have to find the divisors of all numbers

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

GCD of numbers is the greatest common divisor

So, the GCD (744, 309, 371, 141) = 1.

Given numbers are 744, 309, 371, 141

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 309 are 3 x 103

Prime factors of 371 are 7 x 53

Prime factors of 141 are 3 x 47

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 744, 309, 371, 141

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(744, 309) = 76632

GCD(744, 309) = ( 744 x 309 ) / 76632

= 744 / 309

= 744

Step2:

LCM(3, 371) = 1113

GCD(3, 371) = ( 3 x 371 ) / 1113

= 3 / 371

= 3

Step3:

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

= 1 / 141

= 1

So, Greatest Common Divisor of 744, 309, 371, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 586, 996, 995
• GCD of 973, 198, 597, 713
• GCD of 647, 177, 130, 841
• GCD of 132, 729, 288, 338
• GCD of 974, 654, 976, 732

Given numbers are 744, 309, 371, 141
The greatest common divisor of numbers 744, 309, 371, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 309, 371, 141 is 1.

1. What is the GCD of 744, 309, 371, 141?

GCD of given numbers 744, 309, 371, 141 is 1

2. How to calculate the greatest common divisor of 744, 309, 371, 141?

We can find the highest common divisor of 744, 309, 371, 141 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 744, 309, 371, 141 i.e 1.

3. How can I use the GCD of 744, 309, 371, 141Calculator?

Out the numbers 744, 309, 371, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.