GCD of 150, 829, 400, 991 Calculator

Given Input numbers are 150, 829, 400, 991

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

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 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (150, 829, 400, 991) = 1.

Given numbers are 150, 829, 400, 991

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 829 are 829

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

Prime factors of 991 are 991

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

Given numbers are 150, 829, 400, 991

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

Apply this formula for all numbers.

Step1:

LCM(150, 829) = 124350

GCD(150, 829) = ( 150 x 829 ) / 124350

= 150 / 829

= 150

Step2:

LCM(1, 400) = 400

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

= 1 / 400

= 1

Step3:

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

= 1 / 991

= 1

So, Greatest Common Divisor of 150, 829, 400, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 912, 317, 554
• GCD of 119, 215, 863, 624
• GCD of 234, 783, 453, 959
• GCD of 409, 229, 815, 836
• GCD of 891, 450, 856, 965

Given numbers are 150, 829, 400, 991
The greatest common divisor of numbers 150, 829, 400, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 829, 400, 991 is 1.

1. What is the GCD of 150, 829, 400, 991?

GCD of given numbers 150, 829, 400, 991 is 1

2. How to calculate the greatest common divisor of 150, 829, 400, 991?

We can find the highest common divisor of 150, 829, 400, 991 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 150, 829, 400, 991 i.e 1.

3. How can I use the GCD of 150, 829, 400, 991Calculator?

Out the numbers 150, 829, 400, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.