GCD of 584, 614, 780, 492 Calculator

Given Input numbers are 584, 614, 780, 492

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

Divisors of 584 :

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

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

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (584, 614, 780, 492) = 2.

Given numbers are 584, 614, 780, 492

The list of prime factors of all numbers are

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

Prime factors of 614 are 2 x 307

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 584, 614, 780, 492 is 2.

Given numbers are 584, 614, 780, 492

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

Apply this formula for all numbers.

Step1:

LCM(584, 614) = 179288

GCD(584, 614) = ( 584 x 614 ) / 179288

= 584 / 614

= 584

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2

So, Greatest Common Divisor of 584, 614, 780, 492 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 711, 688, 552
• GCD of 971, 354, 889, 129
• GCD of 369, 985, 100, 997
• GCD of 284, 652, 453, 557
• GCD of 455, 932, 783, 922

Given numbers are 584, 614, 780, 492
The greatest common divisor of numbers 584, 614, 780, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 614, 780, 492 is 2.

1. What is the GCD of 584, 614, 780, 492?

GCD of given numbers 584, 614, 780, 492 is 2

2. How to calculate the greatest common divisor of 584, 614, 780, 492?

We can find the highest common divisor of 584, 614, 780, 492 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 584, 614, 780, 492 i.e 2.

3. How can I use the GCD of 584, 614, 780, 492Calculator?

Out the numbers 584, 614, 780, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.