GCD of 616, 725, 400, 896 Calculator

Given Input numbers are 616, 725, 400, 896

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

GCD of numbers is the greatest common divisor

So, the GCD (616, 725, 400, 896) = 1.

Given numbers are 616, 725, 400, 896

The list of prime factors of all numbers are

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 725 are 5 x 5 x 29

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

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 616, 725, 400, 896

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

Apply this formula for all numbers.

Step1:

LCM(616, 725) = 446600

GCD(616, 725) = ( 616 x 725 ) / 446600

= 616 / 725

= 616

Step2:

LCM(1, 400) = 400

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

= 1 / 400

= 1

Step3:

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

= 1 / 896

= 1

So, Greatest Common Divisor of 616, 725, 400, 896 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 291, 925, 287
• GCD of 949, 537, 835, 126
• GCD of 341, 727, 243, 909
• GCD of 180, 279, 202, 449
• GCD of 336, 234, 889, 796

Given numbers are 616, 725, 400, 896
The greatest common divisor of numbers 616, 725, 400, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 725, 400, 896 is 1.

1. What is the GCD of 616, 725, 400, 896?

GCD of given numbers 616, 725, 400, 896 is 1

2. How to calculate the greatest common divisor of 616, 725, 400, 896?

We can find the highest common divisor of 616, 725, 400, 896 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 616, 725, 400, 896 i.e 1.

3. How can I use the GCD of 616, 725, 400, 896Calculator?

Out the numbers 616, 725, 400, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.