GCD of 966, 741, 180, 615 Calculator

Given Input numbers are 966, 741, 180, 615

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 741 :

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

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

GCD of numbers is the greatest common divisor

So, the GCD (966, 741, 180, 615) = 3.

Given numbers are 966, 741, 180, 615

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 741 are 3 x 13 x 19

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 615 are 3 x 5 x 41

The highest common occurrence is 3¹

Therefore, GCD of 966, 741, 180, 615 is 3.

Given numbers are 966, 741, 180, 615

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

Apply this formula for all numbers.

Step1:

LCM(966, 741) = 238602

GCD(966, 741) = ( 966 x 741 ) / 238602

= 966 / 741

= 966

Step2:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

Step3:

LCM(3, 615) = 615

GCD(3, 615) = ( 3 x 615 ) / 615

= 3 / 615

= 3

So, Greatest Common Divisor of 966, 741, 180, 615 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 972, 276, 338
• GCD of 838, 745, 152, 874
• GCD of 176, 440, 481, 606
• GCD of 494, 461, 170, 922
• GCD of 794, 316, 598, 584

Given numbers are 966, 741, 180, 615
The greatest common divisor of numbers 966, 741, 180, 615 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 741, 180, 615 is 3.

1. What is the GCD of 966, 741, 180, 615?

GCD of given numbers 966, 741, 180, 615 is 3

2. How to calculate the greatest common divisor of 966, 741, 180, 615?

We can find the highest common divisor of 966, 741, 180, 615 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 966, 741, 180, 615 i.e 3.

3. How can I use the GCD of 966, 741, 180, 615Calculator?

Out the numbers 966, 741, 180, 615 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.