GCD of 946, 460, 967, 360 Calculator

Given Input numbers are 946, 460, 967, 360

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

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

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 (946, 460, 967, 360) = 1.

Given numbers are 946, 460, 967, 360

The list of prime factors of all numbers are

Prime factors of 946 are 2 x 11 x 43

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 967 are 967

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

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

Given numbers are 946, 460, 967, 360

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

Apply this formula for all numbers.

Step1:

LCM(946, 460) = 217580

GCD(946, 460) = ( 946 x 460 ) / 217580

= 946 / 460

= 946

Step2:

LCM(2, 967) = 1934

GCD(2, 967) = ( 2 x 967 ) / 1934

= 2 / 967

= 2

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 946, 460, 967, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 944, 246, 586, 942
• GCD of 707, 510, 523, 944
• GCD of 889, 383, 976, 461
• GCD of 656, 577, 150, 697
• GCD of 442, 868, 601, 474

Given numbers are 946, 460, 967, 360
The greatest common divisor of numbers 946, 460, 967, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 946, 460, 967, 360 is 1.

1. What is the GCD of 946, 460, 967, 360?

GCD of given numbers 946, 460, 967, 360 is 1

2. How to calculate the greatest common divisor of 946, 460, 967, 360?

We can find the highest common divisor of 946, 460, 967, 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 946, 460, 967, 360 i.e 1.

3. How can I use the GCD of 946, 460, 967, 360Calculator?

Out the numbers 946, 460, 967, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.