GCD of 400, 131, 772, 262 Calculator

Given Input numbers are 400, 131, 772, 262

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 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

GCD of numbers is the greatest common divisor

So, the GCD (400, 131, 772, 262) = 1.

Given numbers are 400, 131, 772, 262

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 131 are 131

Prime factors of 772 are 2 x 2 x 193

Prime factors of 262 are 2 x 131

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

Given numbers are 400, 131, 772, 262

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

Apply this formula for all numbers.

Step1:

LCM(400, 131) = 52400

GCD(400, 131) = ( 400 x 131 ) / 52400

= 400 / 131

= 400

Step2:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

Step3:

LCM(1, 262) = 262

GCD(1, 262) = ( 1 x 262 ) / 262

= 1 / 262

= 1

So, Greatest Common Divisor of 400, 131, 772, 262 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 456, 513, 510
• GCD of 544, 149, 901, 609
• GCD of 507, 292, 777, 640
• GCD of 315, 635, 743, 295
• GCD of 315, 783, 408, 224

Given numbers are 400, 131, 772, 262
The greatest common divisor of numbers 400, 131, 772, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 131, 772, 262 is 1.

1. What is the GCD of 400, 131, 772, 262?

GCD of given numbers 400, 131, 772, 262 is 1

2. How to calculate the greatest common divisor of 400, 131, 772, 262?

We can find the highest common divisor of 400, 131, 772, 262 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, 131, 772, 262 i.e 1.

3. How can I use the GCD of 400, 131, 772, 262Calculator?

Out the numbers 400, 131, 772, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.