GCD of 364, 119, 72, 746 Calculator

Given Input numbers are 364, 119, 72, 746

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (364, 119, 72, 746) = 1.

Given numbers are 364, 119, 72, 746

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 119 are 7 x 17

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 746 are 2 x 373

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

Given numbers are 364, 119, 72, 746

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

Apply this formula for all numbers.

Step1:

LCM(364, 119) = 6188

GCD(364, 119) = ( 364 x 119 ) / 6188

= 364 / 119

= 364

Step2:

LCM(7, 72) = 504

GCD(7, 72) = ( 7 x 72 ) / 504

= 7 / 72

= 7

Step3:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

So, Greatest Common Divisor of 364, 119, 72, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 106, 40, 888
• GCD of 178, 598, 74, 524
• GCD of 615, 263, 93, 879
• GCD of 141, 663, 78, 233
• GCD of 275, 273, 59, 697

Given numbers are 364, 119, 72, 746
The greatest common divisor of numbers 364, 119, 72, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 119, 72, 746 is 1.

1. What is the GCD of 364, 119, 72, 746?

GCD of given numbers 364, 119, 72, 746 is 1

2. How to calculate the greatest common divisor of 364, 119, 72, 746?

We can find the highest common divisor of 364, 119, 72, 746 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 364, 119, 72, 746 i.e 1.

3. How can I use the GCD of 364, 119, 72, 746Calculator?

Out the numbers 364, 119, 72, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.