GCD of 360, 510, 944, 769 Calculator

Given Input numbers are 360, 510, 944, 769

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

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 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

GCD of numbers is the greatest common divisor

So, the GCD (360, 510, 944, 769) = 1.

Given numbers are 360, 510, 944, 769

The list of prime factors of all numbers are

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

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 769 are 769

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

Given numbers are 360, 510, 944, 769

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

Apply this formula for all numbers.

Step1:

LCM(360, 510) = 6120

GCD(360, 510) = ( 360 x 510 ) / 6120

= 360 / 510

= 360

Step2:

LCM(30, 944) = 14160

GCD(30, 944) = ( 30 x 944 ) / 14160

= 30 / 944

= 30

Step3:

LCM(2, 769) = 1538

GCD(2, 769) = ( 2 x 769 ) / 1538

= 2 / 769

= 2

So, Greatest Common Divisor of 360, 510, 944, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 398, 169, 953
• GCD of 870, 383, 483, 304
• GCD of 871, 277, 770, 699
• GCD of 543, 362, 950, 730
• GCD of 296, 374, 960, 443

Given numbers are 360, 510, 944, 769
The greatest common divisor of numbers 360, 510, 944, 769 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 510, 944, 769 is 1.

1. What is the GCD of 360, 510, 944, 769?

GCD of given numbers 360, 510, 944, 769 is 1

2. How to calculate the greatest common divisor of 360, 510, 944, 769?

We can find the highest common divisor of 360, 510, 944, 769 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 360, 510, 944, 769 i.e 1.

3. How can I use the GCD of 360, 510, 944, 769Calculator?

Out the numbers 360, 510, 944, 769 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.