GCD of 510, 835, 688, 420 Calculator

Given Input numbers are 510, 835, 688, 420

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

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 835 :

The positive integer divisors of 835 that completely divides 835 are.

1, 5, 167, 835

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (510, 835, 688, 420) = 1.

Given numbers are 510, 835, 688, 420

The list of prime factors of all numbers are

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 835 are 5 x 167

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 510, 835, 688, 420

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

Apply this formula for all numbers.

Step1:

LCM(510, 835) = 85170

GCD(510, 835) = ( 510 x 835 ) / 85170

= 510 / 835

= 510

Step2:

LCM(5, 688) = 3440

GCD(5, 688) = ( 5 x 688 ) / 3440

= 5 / 688

= 5

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 510, 835, 688, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 304, 523, 562
• GCD of 812, 844, 794, 819
• GCD of 594, 616, 162, 896
• GCD of 910, 518, 587, 442
• GCD of 562, 987, 802, 948

Given numbers are 510, 835, 688, 420
The greatest common divisor of numbers 510, 835, 688, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 835, 688, 420 is 1.

1. What is the GCD of 510, 835, 688, 420?

GCD of given numbers 510, 835, 688, 420 is 1

2. How to calculate the greatest common divisor of 510, 835, 688, 420?

We can find the highest common divisor of 510, 835, 688, 420 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 510, 835, 688, 420 i.e 1.

3. How can I use the GCD of 510, 835, 688, 420Calculator?

Out the numbers 510, 835, 688, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.