GCD of 345, 504, 651, 122 Calculator

Given Input numbers are 345, 504, 651, 122

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

GCD of numbers is the greatest common divisor

So, the GCD (345, 504, 651, 122) = 1.

Given numbers are 345, 504, 651, 122

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 651 are 3 x 7 x 31

Prime factors of 122 are 2 x 61

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

Given numbers are 345, 504, 651, 122

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

Apply this formula for all numbers.

Step1:

LCM(345, 504) = 57960

GCD(345, 504) = ( 345 x 504 ) / 57960

= 345 / 504

= 345

Step2:

LCM(3, 651) = 651

GCD(3, 651) = ( 3 x 651 ) / 651

= 3 / 651

= 3

Step3:

LCM(3, 122) = 366

GCD(3, 122) = ( 3 x 122 ) / 366

= 3 / 122

= 3

So, Greatest Common Divisor of 345, 504, 651, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 391, 267, 303
• GCD of 950, 953, 180, 849
• GCD of 838, 169, 149, 265
• GCD of 757, 965, 281, 369
• GCD of 156, 270, 689, 391

Given numbers are 345, 504, 651, 122
The greatest common divisor of numbers 345, 504, 651, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 504, 651, 122 is 1.

1. What is the GCD of 345, 504, 651, 122?

GCD of given numbers 345, 504, 651, 122 is 1

2. How to calculate the greatest common divisor of 345, 504, 651, 122?

We can find the highest common divisor of 345, 504, 651, 122 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 345, 504, 651, 122 i.e 1.

3. How can I use the GCD of 345, 504, 651, 122Calculator?

Out the numbers 345, 504, 651, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.