GCD of 966, 616, 438, 175 Calculator

Given Input numbers are 966, 616, 438, 175

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 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

GCD of numbers is the greatest common divisor

So, the GCD (966, 616, 438, 175) = 1.

Given numbers are 966, 616, 438, 175

The list of prime factors of all numbers are

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

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 438 are 2 x 3 x 73

Prime factors of 175 are 5 x 5 x 7

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

Given numbers are 966, 616, 438, 175

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

Apply this formula for all numbers.

Step1:

LCM(966, 616) = 42504

GCD(966, 616) = ( 966 x 616 ) / 42504

= 966 / 616

= 966

Step2:

LCM(14, 438) = 3066

GCD(14, 438) = ( 14 x 438 ) / 3066

= 14 / 438

= 14

Step3:

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

= 2 / 175

= 2

So, Greatest Common Divisor of 966, 616, 438, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 336, 396, 556
• GCD of 375, 974, 622, 796
• GCD of 574, 726, 891, 891
• GCD of 566, 870, 310, 416
• GCD of 999, 205, 146, 300

Given numbers are 966, 616, 438, 175
The greatest common divisor of numbers 966, 616, 438, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 616, 438, 175 is 1.

1. What is the GCD of 966, 616, 438, 175?

GCD of given numbers 966, 616, 438, 175 is 1

2. How to calculate the greatest common divisor of 966, 616, 438, 175?

We can find the highest common divisor of 966, 616, 438, 175 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, 616, 438, 175 i.e 1.

3. How can I use the GCD of 966, 616, 438, 175Calculator?

Out the numbers 966, 616, 438, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.