GCD of 400, 852, 964, 177 Calculator

Given Input numbers are 400, 852, 964, 177

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 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

GCD of numbers is the greatest common divisor

So, the GCD (400, 852, 964, 177) = 1.

Given numbers are 400, 852, 964, 177

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 852 are 2 x 2 x 3 x 71

Prime factors of 964 are 2 x 2 x 241

Prime factors of 177 are 3 x 59

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

Given numbers are 400, 852, 964, 177

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

Apply this formula for all numbers.

Step1:

LCM(400, 852) = 85200

GCD(400, 852) = ( 400 x 852 ) / 85200

= 400 / 852

= 400

Step2:

LCM(4, 964) = 964

GCD(4, 964) = ( 4 x 964 ) / 964

= 4 / 964

= 4

Step3:

LCM(4, 177) = 708

GCD(4, 177) = ( 4 x 177 ) / 708

= 4 / 177

= 4

So, Greatest Common Divisor of 400, 852, 964, 177 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 403, 366, 642
• GCD of 505, 889, 841, 768
• GCD of 204, 707, 435, 760
• GCD of 371, 399, 660, 873
• GCD of 488, 589, 710, 438

Given numbers are 400, 852, 964, 177
The greatest common divisor of numbers 400, 852, 964, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 852, 964, 177 is 1.

1. What is the GCD of 400, 852, 964, 177?

GCD of given numbers 400, 852, 964, 177 is 1

2. How to calculate the greatest common divisor of 400, 852, 964, 177?

We can find the highest common divisor of 400, 852, 964, 177 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, 852, 964, 177 i.e 1.

3. How can I use the GCD of 400, 852, 964, 177Calculator?

Out the numbers 400, 852, 964, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.