GCD of 709, 924, 977, 400 Calculator

Given Input numbers are 709, 924, 977, 400

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

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

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 (709, 924, 977, 400) = 1.

Given numbers are 709, 924, 977, 400

The list of prime factors of all numbers are

Prime factors of 709 are 709

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 977 are 977

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 709, 924, 977, 400

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

Apply this formula for all numbers.

Step1:

LCM(709, 924) = 655116

GCD(709, 924) = ( 709 x 924 ) / 655116

= 709 / 924

= 709

Step2:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1

Step3:

LCM(1, 400) = 400

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

= 1 / 400

= 1

So, Greatest Common Divisor of 709, 924, 977, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 207, 461, 858
• GCD of 265, 855, 764, 586
• GCD of 508, 135, 135, 776
• GCD of 726, 140, 448, 282
• GCD of 638, 864, 135, 283

Given numbers are 709, 924, 977, 400
The greatest common divisor of numbers 709, 924, 977, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 709, 924, 977, 400 is 1.

1. What is the GCD of 709, 924, 977, 400?

GCD of given numbers 709, 924, 977, 400 is 1

2. How to calculate the greatest common divisor of 709, 924, 977, 400?

We can find the highest common divisor of 709, 924, 977, 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 709, 924, 977, 400 i.e 1.

3. How can I use the GCD of 709, 924, 977, 400Calculator?

Out the numbers 709, 924, 977, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.