GCD of 782, 678, 310, 584 Calculator

Given Input numbers are 782, 678, 310, 584

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

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 (782, 678, 310, 584) = 2.

Given numbers are 782, 678, 310, 584

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 678 are 2 x 3 x 113

Prime factors of 310 are 2 x 5 x 31

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

The highest common occurrence is 2¹

Therefore, GCD of 782, 678, 310, 584 is 2.

Given numbers are 782, 678, 310, 584

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

Apply this formula for all numbers.

Step1:

LCM(782, 678) = 265098

GCD(782, 678) = ( 782 x 678 ) / 265098

= 782 / 678

= 782

Step2:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

Step3:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

So, Greatest Common Divisor of 782, 678, 310, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 353, 764, 420
• GCD of 417, 844, 737, 567
• GCD of 400, 774, 181, 914
• GCD of 266, 817, 785, 107
• GCD of 186, 461, 939, 950

Given numbers are 782, 678, 310, 584
The greatest common divisor of numbers 782, 678, 310, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 678, 310, 584 is 2.

1. What is the GCD of 782, 678, 310, 584?

GCD of given numbers 782, 678, 310, 584 is 2

2. How to calculate the greatest common divisor of 782, 678, 310, 584?

We can find the highest common divisor of 782, 678, 310, 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 782, 678, 310, 584 i.e 2.

3. How can I use the GCD of 782, 678, 310, 584Calculator?

Out the numbers 782, 678, 310, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.