GCD of 956, 774, 302, 360 Calculator

Given Input numbers are 956, 774, 302, 360

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

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

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

GCD of numbers is the greatest common divisor

So, the GCD (956, 774, 302, 360) = 2.

Given numbers are 956, 774, 302, 360

The list of prime factors of all numbers are

Prime factors of 956 are 2 x 2 x 239

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 302 are 2 x 151

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

The highest common occurrence is 2¹

Therefore, GCD of 956, 774, 302, 360 is 2.

Given numbers are 956, 774, 302, 360

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

Apply this formula for all numbers.

Step1:

LCM(956, 774) = 369972

GCD(956, 774) = ( 956 x 774 ) / 369972

= 956 / 774

= 956

Step2:

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

= 2 / 302

= 2

Step3:

LCM(2, 360) = 360

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

= 2 / 360

= 2

So, Greatest Common Divisor of 956, 774, 302, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 537, 935, 657
• GCD of 155, 679, 152, 241
• GCD of 616, 524, 650, 516
• GCD of 726, 643, 743, 225
• GCD of 909, 278, 372, 998

Given numbers are 956, 774, 302, 360
The greatest common divisor of numbers 956, 774, 302, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 956, 774, 302, 360 is 2.

1. What is the GCD of 956, 774, 302, 360?

GCD of given numbers 956, 774, 302, 360 is 2

2. How to calculate the greatest common divisor of 956, 774, 302, 360?

We can find the highest common divisor of 956, 774, 302, 360 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 956, 774, 302, 360 i.e 2.

3. How can I use the GCD of 956, 774, 302, 360Calculator?

Out the numbers 956, 774, 302, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.