GCD of 342, 308, 413, 971 Calculator

Given Input numbers are 342, 308, 413, 971

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (342, 308, 413, 971) = 1.

Given numbers are 342, 308, 413, 971

The list of prime factors of all numbers are

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

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 413 are 7 x 59

Prime factors of 971 are 971

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

Given numbers are 342, 308, 413, 971

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

Apply this formula for all numbers.

Step1:

LCM(342, 308) = 52668

GCD(342, 308) = ( 342 x 308 ) / 52668

= 342 / 308

= 342

Step2:

LCM(2, 413) = 826

GCD(2, 413) = ( 2 x 413 ) / 826

= 2 / 413

= 2

Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1

So, Greatest Common Divisor of 342, 308, 413, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 238, 249, 195
• GCD of 789, 388, 388, 608
• GCD of 364, 307, 757, 681
• GCD of 564, 139, 894, 501
• GCD of 443, 136, 238, 985

Given numbers are 342, 308, 413, 971
The greatest common divisor of numbers 342, 308, 413, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 308, 413, 971 is 1.

1. What is the GCD of 342, 308, 413, 971?

GCD of given numbers 342, 308, 413, 971 is 1

2. How to calculate the greatest common divisor of 342, 308, 413, 971?

We can find the highest common divisor of 342, 308, 413, 971 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, 308, 413, 971 i.e 1.

3. How can I use the GCD of 342, 308, 413, 971Calculator?

Out the numbers 342, 308, 413, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.