GCD of 509, 420, 140, 656 Calculator

Given Input numbers are 509, 420, 140, 656

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

GCD of numbers is the greatest common divisor

So, the GCD (509, 420, 140, 656) = 1.

Given numbers are 509, 420, 140, 656

The list of prime factors of all numbers are

Prime factors of 509 are 509

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

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

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

Given numbers are 509, 420, 140, 656

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

Apply this formula for all numbers.

Step1:

LCM(509, 420) = 213780

GCD(509, 420) = ( 509 x 420 ) / 213780

= 509 / 420

= 509

Step2:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1

Step3:

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

= 1 / 656

= 1

So, Greatest Common Divisor of 509, 420, 140, 656 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 222, 792, 307
• GCD of 297, 418, 967, 639
• GCD of 787, 163, 773, 237
• GCD of 631, 198, 191, 420
• GCD of 636, 671, 314, 150

Given numbers are 509, 420, 140, 656
The greatest common divisor of numbers 509, 420, 140, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 420, 140, 656 is 1.

1. What is the GCD of 509, 420, 140, 656?

GCD of given numbers 509, 420, 140, 656 is 1

2. How to calculate the greatest common divisor of 509, 420, 140, 656?

We can find the highest common divisor of 509, 420, 140, 656 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 509, 420, 140, 656 i.e 1.

3. How can I use the GCD of 509, 420, 140, 656Calculator?

Out the numbers 509, 420, 140, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.