GCD of 392, 680, 696, 502 Calculator

Given Input numbers are 392, 680, 696, 502

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

GCD of numbers is the greatest common divisor

So, the GCD (392, 680, 696, 502) = 2.

Given numbers are 392, 680, 696, 502

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 502 are 2 x 251

The highest common occurrence is 2¹

Therefore, GCD of 392, 680, 696, 502 is 2.

Given numbers are 392, 680, 696, 502

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

Apply this formula for all numbers.

Step1:

LCM(392, 680) = 33320

GCD(392, 680) = ( 392 x 680 ) / 33320

= 392 / 680

= 392

Step2:

LCM(8, 696) = 696

GCD(8, 696) = ( 8 x 696 ) / 696

= 8 / 696

= 8

Step3:

LCM(8, 502) = 2008

GCD(8, 502) = ( 8 x 502 ) / 2008

= 8 / 502

= 8

So, Greatest Common Divisor of 392, 680, 696, 502 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 260, 205, 131
• GCD of 549, 376, 636, 679
• GCD of 825, 419, 131, 913
• GCD of 381, 606, 673, 349
• GCD of 640, 586, 499, 134

Given numbers are 392, 680, 696, 502
The greatest common divisor of numbers 392, 680, 696, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 680, 696, 502 is 2.

1. What is the GCD of 392, 680, 696, 502?

GCD of given numbers 392, 680, 696, 502 is 2

2. How to calculate the greatest common divisor of 392, 680, 696, 502?

We can find the highest common divisor of 392, 680, 696, 502 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 392, 680, 696, 502 i.e 2.

3. How can I use the GCD of 392, 680, 696, 502Calculator?

Out the numbers 392, 680, 696, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.