GCD of 492, 290, 360, 741 Calculator

Given Input numbers are 492, 290, 360, 741

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (492, 290, 360, 741) = 1.

Given numbers are 492, 290, 360, 741

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 290 are 2 x 5 x 29

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 741 are 3 x 13 x 19

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

Given numbers are 492, 290, 360, 741

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

Apply this formula for all numbers.

Step1:

LCM(492, 290) = 71340

GCD(492, 290) = ( 492 x 290 ) / 71340

= 492 / 290

= 492

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

= 2 / 741

= 2

So, Greatest Common Divisor of 492, 290, 360, 741 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 855, 210, 490
• GCD of 168, 123, 787, 663
• GCD of 108, 386, 534, 895
• GCD of 868, 190, 882, 578
• GCD of 334, 971, 647, 545

Given numbers are 492, 290, 360, 741
The greatest common divisor of numbers 492, 290, 360, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 290, 360, 741 is 1.

1. What is the GCD of 492, 290, 360, 741?

GCD of given numbers 492, 290, 360, 741 is 1

2. How to calculate the greatest common divisor of 492, 290, 360, 741?

We can find the highest common divisor of 492, 290, 360, 741 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 492, 290, 360, 741 i.e 1.

3. How can I use the GCD of 492, 290, 360, 741Calculator?

Out the numbers 492, 290, 360, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.