GCD of 350, 420, 505, 609 Calculator

Given Input numbers are 350, 420, 505, 609

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

GCD of numbers is the greatest common divisor

So, the GCD (350, 420, 505, 609) = 1.

Given numbers are 350, 420, 505, 609

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

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

Prime factors of 505 are 5 x 101

Prime factors of 609 are 3 x 7 x 29

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

Given numbers are 350, 420, 505, 609

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

Apply this formula for all numbers.

Step1:

LCM(350, 420) = 2100

GCD(350, 420) = ( 350 x 420 ) / 2100

= 350 / 420

= 350

Step2:

LCM(70, 505) = 7070

GCD(70, 505) = ( 70 x 505 ) / 7070

= 70 / 505

= 70

Step3:

LCM(5, 609) = 3045

GCD(5, 609) = ( 5 x 609 ) / 3045

= 5 / 609

= 5

So, Greatest Common Divisor of 350, 420, 505, 609 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 246, 450, 737
• GCD of 331, 159, 752, 138
• GCD of 410, 842, 459, 203
• GCD of 603, 810, 896, 959
• GCD of 484, 100, 798, 672

Given numbers are 350, 420, 505, 609
The greatest common divisor of numbers 350, 420, 505, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 420, 505, 609 is 1.

1. What is the GCD of 350, 420, 505, 609?

GCD of given numbers 350, 420, 505, 609 is 1

2. How to calculate the greatest common divisor of 350, 420, 505, 609?

We can find the highest common divisor of 350, 420, 505, 609 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 350, 420, 505, 609 i.e 1.

3. How can I use the GCD of 350, 420, 505, 609Calculator?

Out the numbers 350, 420, 505, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.