GCD of 385, 131, 692, 400 Calculator

Given Input numbers are 385, 131, 692, 400

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 131 :

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

1, 131

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

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 (385, 131, 692, 400) = 1.

Given numbers are 385, 131, 692, 400

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 131 are 131

Prime factors of 692 are 2 x 2 x 173

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 385, 131, 692, 400

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

Apply this formula for all numbers.

Step1:

LCM(385, 131) = 50435

GCD(385, 131) = ( 385 x 131 ) / 50435

= 385 / 131

= 385

Step2:

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

= 1 / 692

= 1

Step3:

LCM(1, 400) = 400

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

= 1 / 400

= 1

So, Greatest Common Divisor of 385, 131, 692, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 305, 265, 766
• GCD of 839, 476, 956, 645
• GCD of 100, 886, 428, 680
• GCD of 218, 838, 257, 924
• GCD of 164, 654, 286, 751

Given numbers are 385, 131, 692, 400
The greatest common divisor of numbers 385, 131, 692, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 131, 692, 400 is 1.

1. What is the GCD of 385, 131, 692, 400?

GCD of given numbers 385, 131, 692, 400 is 1

2. How to calculate the greatest common divisor of 385, 131, 692, 400?

We can find the highest common divisor of 385, 131, 692, 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 385, 131, 692, 400 i.e 1.

3. How can I use the GCD of 385, 131, 692, 400Calculator?

Out the numbers 385, 131, 692, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.