GCD of 400, 703, 987, 756 Calculator

Given Input numbers are 400, 703, 987, 756

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 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (400, 703, 987, 756) = 1.

Given numbers are 400, 703, 987, 756

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 703 are 19 x 37

Prime factors of 987 are 3 x 7 x 47

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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

Given numbers are 400, 703, 987, 756

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

Apply this formula for all numbers.

Step1:

LCM(400, 703) = 281200

GCD(400, 703) = ( 400 x 703 ) / 281200

= 400 / 703

= 400

Step2:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1

Step3:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

So, Greatest Common Divisor of 400, 703, 987, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 261, 495, 219, 260
• GCD of 237, 664, 333, 423
• GCD of 462, 559, 773, 817
• GCD of 972, 458, 356, 965
• GCD of 463, 612, 760, 944

Given numbers are 400, 703, 987, 756
The greatest common divisor of numbers 400, 703, 987, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 703, 987, 756 is 1.

1. What is the GCD of 400, 703, 987, 756?

GCD of given numbers 400, 703, 987, 756 is 1

2. How to calculate the greatest common divisor of 400, 703, 987, 756?

We can find the highest common divisor of 400, 703, 987, 756 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, 703, 987, 756 i.e 1.

3. How can I use the GCD of 400, 703, 987, 756Calculator?

Out the numbers 400, 703, 987, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.