GCD of 400, 768, 738, 464 Calculator

Given Input numbers are 400, 768, 738, 464

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

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (400, 768, 738, 464) = 2.

Given numbers are 400, 768, 738, 464

The list of prime factors of all numbers are

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 400, 768, 738, 464 is 2.

Given numbers are 400, 768, 738, 464

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

Apply this formula for all numbers.

Step1:

LCM(400, 768) = 19200

GCD(400, 768) = ( 400 x 768 ) / 19200

= 400 / 768

= 400

Step2:

LCM(16, 738) = 5904

GCD(16, 738) = ( 16 x 738 ) / 5904

= 16 / 738

= 16

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 400, 768, 738, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 525, 776, 807
• GCD of 202, 740, 940, 184
• GCD of 774, 464, 439, 957
• GCD of 564, 667, 778, 804
• GCD of 107, 592, 267, 131

Given numbers are 400, 768, 738, 464
The greatest common divisor of numbers 400, 768, 738, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 768, 738, 464 is 2.

1. What is the GCD of 400, 768, 738, 464?

GCD of given numbers 400, 768, 738, 464 is 2

2. How to calculate the greatest common divisor of 400, 768, 738, 464?

We can find the highest common divisor of 400, 768, 738, 464 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 400, 768, 738, 464 i.e 2.

3. How can I use the GCD of 400, 768, 738, 464Calculator?

Out the numbers 400, 768, 738, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.