GCD of 137, 214, 966, 945 Calculator

Given Input numbers are 137, 214, 966, 945

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

Divisors of 137 :

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

1, 137

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

GCD of numbers is the greatest common divisor

So, the GCD (137, 214, 966, 945) = 1.

Given numbers are 137, 214, 966, 945

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 214 are 2 x 107

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Given numbers are 137, 214, 966, 945

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

Apply this formula for all numbers.

Step1:

LCM(137, 214) = 29318

GCD(137, 214) = ( 137 x 214 ) / 29318

= 137 / 214

= 137

Step2:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

Step3:

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

= 1 / 945

= 1

So, Greatest Common Divisor of 137, 214, 966, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 858, 202, 597
• GCD of 322, 914, 107, 611
• GCD of 977, 339, 412, 840
• GCD of 343, 948, 379, 527
• GCD of 918, 654, 459, 315

Given numbers are 137, 214, 966, 945
The greatest common divisor of numbers 137, 214, 966, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 214, 966, 945 is 1.

1. What is the GCD of 137, 214, 966, 945?

GCD of given numbers 137, 214, 966, 945 is 1

2. How to calculate the greatest common divisor of 137, 214, 966, 945?

We can find the highest common divisor of 137, 214, 966, 945 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 137, 214, 966, 945 i.e 1.

3. How can I use the GCD of 137, 214, 966, 945Calculator?

Out the numbers 137, 214, 966, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.