GCD of 946, 468, 693, 400 Calculator

Given Input numbers are 946, 468, 693, 400

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (946, 468, 693, 400) = 1.

Given numbers are 946, 468, 693, 400

The list of prime factors of all numbers are

Prime factors of 946 are 2 x 11 x 43

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 946, 468, 693, 400

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

Apply this formula for all numbers.

Step1:

LCM(946, 468) = 221364

GCD(946, 468) = ( 946 x 468 ) / 221364

= 946 / 468

= 946

Step2:

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

= 2 / 693

= 2

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 946, 468, 693, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 987, 433, 968
• GCD of 636, 309, 135, 737
• GCD of 632, 603, 642, 737
• GCD of 946, 640, 961, 114
• GCD of 383, 298, 910, 706

Given numbers are 946, 468, 693, 400
The greatest common divisor of numbers 946, 468, 693, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 946, 468, 693, 400 is 1.

1. What is the GCD of 946, 468, 693, 400?

GCD of given numbers 946, 468, 693, 400 is 1

2. How to calculate the greatest common divisor of 946, 468, 693, 400?

We can find the highest common divisor of 946, 468, 693, 400 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, 468, 693, 400 i.e 1.

3. How can I use the GCD of 946, 468, 693, 400Calculator?

Out the numbers 946, 468, 693, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.