GCD of 686, 402, 624, 506 Calculator

Given Input numbers are 686, 402, 624, 506

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (686, 402, 624, 506) = 2.

Given numbers are 686, 402, 624, 506

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 402 are 2 x 3 x 67

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

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 686, 402, 624, 506 is 2.

Given numbers are 686, 402, 624, 506

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

Apply this formula for all numbers.

Step1:

LCM(686, 402) = 137886

GCD(686, 402) = ( 686 x 402 ) / 137886

= 686 / 402

= 686

Step2:

LCM(2, 624) = 624

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

= 2 / 624

= 2

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 686, 402, 624, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 446, 953, 912
• GCD of 157, 605, 985, 280
• GCD of 830, 647, 444, 258
• GCD of 274, 549, 118, 317
• GCD of 624, 434, 236, 898

Given numbers are 686, 402, 624, 506
The greatest common divisor of numbers 686, 402, 624, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 402, 624, 506 is 2.

1. What is the GCD of 686, 402, 624, 506?

GCD of given numbers 686, 402, 624, 506 is 2

2. How to calculate the greatest common divisor of 686, 402, 624, 506?

We can find the highest common divisor of 686, 402, 624, 506 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 686, 402, 624, 506 i.e 2.

3. How can I use the GCD of 686, 402, 624, 506Calculator?

Out the numbers 686, 402, 624, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.