GCD of 966, 100, 413, 135 Calculator

Given Input numbers are 966, 100, 413, 135

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

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 413 :

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

1, 7, 59, 413

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (966, 100, 413, 135) = 1.

Given numbers are 966, 100, 413, 135

The list of prime factors of all numbers are

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

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 413 are 7 x 59

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 966, 100, 413, 135

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

Apply this formula for all numbers.

Step1:

LCM(966, 100) = 48300

GCD(966, 100) = ( 966 x 100 ) / 48300

= 966 / 100

= 966

Step2:

LCM(2, 413) = 826

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

= 2 / 413

= 2

Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

So, Greatest Common Divisor of 966, 100, 413, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 456, 273, 361
• GCD of 694, 520, 663, 267
• GCD of 943, 846, 849, 287
• GCD of 431, 873, 973, 468
• GCD of 628, 183, 962, 276

Given numbers are 966, 100, 413, 135
The greatest common divisor of numbers 966, 100, 413, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 100, 413, 135 is 1.

1. What is the GCD of 966, 100, 413, 135?

GCD of given numbers 966, 100, 413, 135 is 1

2. How to calculate the greatest common divisor of 966, 100, 413, 135?

We can find the highest common divisor of 966, 100, 413, 135 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 966, 100, 413, 135 i.e 1.

3. How can I use the GCD of 966, 100, 413, 135Calculator?

Out the numbers 966, 100, 413, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.