GCD of 580, 784, 762, 916 Calculator

Given Input numbers are 580, 784, 762, 916

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (580, 784, 762, 916) = 2.

Given numbers are 580, 784, 762, 916

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 762 are 2 x 3 x 127

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 580, 784, 762, 916 is 2.

Given numbers are 580, 784, 762, 916

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

Apply this formula for all numbers.

Step1:

LCM(580, 784) = 113680

GCD(580, 784) = ( 580 x 784 ) / 113680

= 580 / 784

= 580

Step2:

LCM(4, 762) = 1524

GCD(4, 762) = ( 4 x 762 ) / 1524

= 4 / 762

= 4

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 580, 784, 762, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 351, 936, 178
• GCD of 707, 292, 396, 602
• GCD of 255, 286, 158, 666
• GCD of 614, 747, 969, 748
• GCD of 638, 494, 724, 147

Given numbers are 580, 784, 762, 916
The greatest common divisor of numbers 580, 784, 762, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 784, 762, 916 is 2.

1. What is the GCD of 580, 784, 762, 916?

GCD of given numbers 580, 784, 762, 916 is 2

2. How to calculate the greatest common divisor of 580, 784, 762, 916?

We can find the highest common divisor of 580, 784, 762, 916 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 580, 784, 762, 916 i.e 2.

3. How can I use the GCD of 580, 784, 762, 916Calculator?

Out the numbers 580, 784, 762, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.