GCD of 420, 434, 116, 275 Calculator

Given Input numbers are 420, 434, 116, 275

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

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 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

GCD of numbers is the greatest common divisor

So, the GCD (420, 434, 116, 275) = 1.

Given numbers are 420, 434, 116, 275

The list of prime factors of all numbers are

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

Prime factors of 434 are 2 x 7 x 31

Prime factors of 116 are 2 x 2 x 29

Prime factors of 275 are 5 x 5 x 11

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

Given numbers are 420, 434, 116, 275

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

Apply this formula for all numbers.

Step1:

LCM(420, 434) = 13020

GCD(420, 434) = ( 420 x 434 ) / 13020

= 420 / 434

= 420

Step2:

LCM(14, 116) = 812

GCD(14, 116) = ( 14 x 116 ) / 812

= 14 / 116

= 14

Step3:

LCM(2, 275) = 550

GCD(2, 275) = ( 2 x 275 ) / 550

= 2 / 275

= 2

So, Greatest Common Divisor of 420, 434, 116, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 791, 133, 866, 501
• GCD of 298, 941, 114, 772
• GCD of 451, 106, 737, 324
• GCD of 556, 647, 856, 387
• GCD of 354, 324, 981, 331

Given numbers are 420, 434, 116, 275
The greatest common divisor of numbers 420, 434, 116, 275 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 434, 116, 275 is 1.

1. What is the GCD of 420, 434, 116, 275?

GCD of given numbers 420, 434, 116, 275 is 1

2. How to calculate the greatest common divisor of 420, 434, 116, 275?

We can find the highest common divisor of 420, 434, 116, 275 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 420, 434, 116, 275 i.e 1.

3. How can I use the GCD of 420, 434, 116, 275Calculator?

Out the numbers 420, 434, 116, 275 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.