GCD of 104, 632, 914, 972 Calculator

Given Input numbers are 104, 632, 914, 972

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 632 :

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

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (104, 632, 914, 972) = 2.

Given numbers are 104, 632, 914, 972

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

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

Prime factors of 914 are 2 x 457

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 104, 632, 914, 972 is 2.

Given numbers are 104, 632, 914, 972

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

Apply this formula for all numbers.

Step1:

LCM(104, 632) = 8216

GCD(104, 632) = ( 104 x 632 ) / 8216

= 104 / 632

= 104

Step2:

LCM(8, 914) = 3656

GCD(8, 914) = ( 8 x 914 ) / 3656

= 8 / 914

= 8

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 104, 632, 914, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 964, 640, 392
• GCD of 720, 574, 245, 765
• GCD of 501, 809, 311, 460
• GCD of 518, 720, 909, 300
• GCD of 447, 434, 185, 490

Given numbers are 104, 632, 914, 972
The greatest common divisor of numbers 104, 632, 914, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 632, 914, 972 is 2.

1. What is the GCD of 104, 632, 914, 972?

GCD of given numbers 104, 632, 914, 972 is 2

2. How to calculate the greatest common divisor of 104, 632, 914, 972?

We can find the highest common divisor of 104, 632, 914, 972 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 104, 632, 914, 972 i.e 2.

3. How can I use the GCD of 104, 632, 914, 972Calculator?

Out the numbers 104, 632, 914, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.