GCD of 945, 320, 632, 172 Calculator

Given Input numbers are 945, 320, 632, 172

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

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (945, 320, 632, 172) = 1.

Given numbers are 945, 320, 632, 172

The list of prime factors of all numbers are

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

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 945, 320, 632, 172

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

Apply this formula for all numbers.

Step1:

LCM(945, 320) = 60480

GCD(945, 320) = ( 945 x 320 ) / 60480

= 945 / 320

= 945

Step2:

LCM(5, 632) = 3160

GCD(5, 632) = ( 5 x 632 ) / 3160

= 5 / 632

= 5

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 945, 320, 632, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 707, 987, 794
• GCD of 800, 341, 845, 409
• GCD of 175, 347, 940, 639
• GCD of 779, 747, 482, 801
• GCD of 641, 783, 372, 723

Given numbers are 945, 320, 632, 172
The greatest common divisor of numbers 945, 320, 632, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 320, 632, 172 is 1.

1. What is the GCD of 945, 320, 632, 172?

GCD of given numbers 945, 320, 632, 172 is 1

2. How to calculate the greatest common divisor of 945, 320, 632, 172?

We can find the highest common divisor of 945, 320, 632, 172 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 945, 320, 632, 172 i.e 1.

3. How can I use the GCD of 945, 320, 632, 172Calculator?

Out the numbers 945, 320, 632, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.