GCD of 738, 870, 777, 584 Calculator

Given Input numbers are 738, 870, 777, 584

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (738, 870, 777, 584) = 1.

Given numbers are 738, 870, 777, 584

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 777 are 3 x 7 x 37

Prime factors of 584 are 2 x 2 x 2 x 73

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

Given numbers are 738, 870, 777, 584

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

Apply this formula for all numbers.

Step1:

LCM(738, 870) = 107010

GCD(738, 870) = ( 738 x 870 ) / 107010

= 738 / 870

= 738

Step2:

LCM(6, 777) = 1554

GCD(6, 777) = ( 6 x 777 ) / 1554

= 6 / 777

= 6

Step3:

LCM(3, 584) = 1752

GCD(3, 584) = ( 3 x 584 ) / 1752

= 3 / 584

= 3

So, Greatest Common Divisor of 738, 870, 777, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 555, 870, 706
• GCD of 419, 706, 643, 335
• GCD of 103, 564, 186, 144
• GCD of 413, 194, 107, 105
• GCD of 856, 558, 996, 921

Given numbers are 738, 870, 777, 584
The greatest common divisor of numbers 738, 870, 777, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 870, 777, 584 is 1.

1. What is the GCD of 738, 870, 777, 584?

GCD of given numbers 738, 870, 777, 584 is 1

2. How to calculate the greatest common divisor of 738, 870, 777, 584?

We can find the highest common divisor of 738, 870, 777, 584 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 738, 870, 777, 584 i.e 1.

3. How can I use the GCD of 738, 870, 777, 584Calculator?

Out the numbers 738, 870, 777, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.