GCD of 782, 642, 308, 624 Calculator

Given Input numbers are 782, 642, 308, 624

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (782, 642, 308, 624) = 2.

Given numbers are 782, 642, 308, 624

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 642 are 2 x 3 x 107

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 782, 642, 308, 624 is 2.

Given numbers are 782, 642, 308, 624

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

Apply this formula for all numbers.

Step1:

LCM(782, 642) = 251022

GCD(782, 642) = ( 782 x 642 ) / 251022

= 782 / 642

= 782

Step2:

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

= 2 / 308

= 2

Step3:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

So, Greatest Common Divisor of 782, 642, 308, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 608, 374, 619
• GCD of 761, 231, 389, 630
• GCD of 101, 688, 428, 346
• GCD of 282, 851, 882, 691
• GCD of 418, 610, 188, 647

Given numbers are 782, 642, 308, 624
The greatest common divisor of numbers 782, 642, 308, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 642, 308, 624 is 2.

1. What is the GCD of 782, 642, 308, 624?

GCD of given numbers 782, 642, 308, 624 is 2

2. How to calculate the greatest common divisor of 782, 642, 308, 624?

We can find the highest common divisor of 782, 642, 308, 624 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, 642, 308, 624 i.e 2.

3. How can I use the GCD of 782, 642, 308, 624Calculator?

Out the numbers 782, 642, 308, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.