GCD of 414, 126, 137, 420 Calculator

Given Input numbers are 414, 126, 137, 420

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

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 (414, 126, 137, 420) = 1.

Given numbers are 414, 126, 137, 420

The list of prime factors of all numbers are

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 137 are 137

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 414, 126, 137, 420

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

Apply this formula for all numbers.

Step1:

LCM(414, 126) = 2898

GCD(414, 126) = ( 414 x 126 ) / 2898

= 414 / 126

= 414

Step2:

LCM(18, 137) = 2466

GCD(18, 137) = ( 18 x 137 ) / 2466

= 18 / 137

= 18

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 414, 126, 137, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 495, 250, 587
• GCD of 368, 277, 761, 881
• GCD of 293, 436, 158, 906
• GCD of 655, 295, 427, 497
• GCD of 592, 174, 774, 258

Given numbers are 414, 126, 137, 420
The greatest common divisor of numbers 414, 126, 137, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 126, 137, 420 is 1.

1. What is the GCD of 414, 126, 137, 420?

GCD of given numbers 414, 126, 137, 420 is 1

2. How to calculate the greatest common divisor of 414, 126, 137, 420?

We can find the highest common divisor of 414, 126, 137, 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 414, 126, 137, 420 i.e 1.

3. How can I use the GCD of 414, 126, 137, 420Calculator?

Out the numbers 414, 126, 137, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.