GCD of 400, 917, 971, 308 Calculator

Given Input numbers are 400, 917, 971, 308

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 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (400, 917, 971, 308) = 1.

Given numbers are 400, 917, 971, 308

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 917 are 7 x 131

Prime factors of 971 are 971

Prime factors of 308 are 2 x 2 x 7 x 11

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

Given numbers are 400, 917, 971, 308

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

Apply this formula for all numbers.

Step1:

LCM(400, 917) = 366800

GCD(400, 917) = ( 400 x 917 ) / 366800

= 400 / 917

= 400

Step2:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1

Step3:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

So, Greatest Common Divisor of 400, 917, 971, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 479, 937, 128
• GCD of 180, 459, 600, 280
• GCD of 168, 466, 389, 783
• GCD of 588, 969, 951, 913
• GCD of 726, 865, 806, 309

Given numbers are 400, 917, 971, 308
The greatest common divisor of numbers 400, 917, 971, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 917, 971, 308 is 1.

1. What is the GCD of 400, 917, 971, 308?

GCD of given numbers 400, 917, 971, 308 is 1

2. How to calculate the greatest common divisor of 400, 917, 971, 308?

We can find the highest common divisor of 400, 917, 971, 308 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, 917, 971, 308 i.e 1.

3. How can I use the GCD of 400, 917, 971, 308Calculator?

Out the numbers 400, 917, 971, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.