GCD of 342, 420, 275, 827 Calculator

Given Input numbers are 342, 420, 275, 827

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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 275 :

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

1, 5, 11, 25, 55, 275

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

GCD of numbers is the greatest common divisor

So, the GCD (342, 420, 275, 827) = 1.

Given numbers are 342, 420, 275, 827

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

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

Prime factors of 275 are 5 x 5 x 11

Prime factors of 827 are 827

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

Given numbers are 342, 420, 275, 827

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

Apply this formula for all numbers.

Step1:

LCM(342, 420) = 23940

GCD(342, 420) = ( 342 x 420 ) / 23940

= 342 / 420

= 342

Step2:

LCM(6, 275) = 1650

GCD(6, 275) = ( 6 x 275 ) / 1650

= 6 / 275

= 6

Step3:

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

= 1 / 827

= 1

So, Greatest Common Divisor of 342, 420, 275, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 619, 452, 620
• GCD of 588, 371, 241, 718
• GCD of 127, 955, 363, 205
• GCD of 644, 667, 305, 352
• GCD of 567, 649, 722, 722

Given numbers are 342, 420, 275, 827
The greatest common divisor of numbers 342, 420, 275, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 420, 275, 827 is 1.

1. What is the GCD of 342, 420, 275, 827?

GCD of given numbers 342, 420, 275, 827 is 1

2. How to calculate the greatest common divisor of 342, 420, 275, 827?

We can find the highest common divisor of 342, 420, 275, 827 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 342, 420, 275, 827 i.e 1.

3. How can I use the GCD of 342, 420, 275, 827Calculator?

Out the numbers 342, 420, 275, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.