GCD of 496, 972, 689, 104 Calculator

Given Input numbers are 496, 972, 689, 104

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 104 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (496, 972, 689, 104) = 1.

Given numbers are 496, 972, 689, 104

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

Prime factors of 689 are 13 x 53

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

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

Given numbers are 496, 972, 689, 104

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

Apply this formula for all numbers.

Step1:

LCM(496, 972) = 120528

GCD(496, 972) = ( 496 x 972 ) / 120528

= 496 / 972

= 496

Step2:

LCM(4, 689) = 2756

GCD(4, 689) = ( 4 x 689 ) / 2756

= 4 / 689

= 4

Step3:

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

= 1 / 104

= 1

So, Greatest Common Divisor of 496, 972, 689, 104 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 842, 760, 725
• GCD of 155, 158, 948, 701
• GCD of 883, 361, 676, 140
• GCD of 296, 505, 267, 876
• GCD of 861, 817, 417, 144

Given numbers are 496, 972, 689, 104
The greatest common divisor of numbers 496, 972, 689, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 972, 689, 104 is 1.

1. What is the GCD of 496, 972, 689, 104?

GCD of given numbers 496, 972, 689, 104 is 1

2. How to calculate the greatest common divisor of 496, 972, 689, 104?

We can find the highest common divisor of 496, 972, 689, 104 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 496, 972, 689, 104 i.e 1.

3. How can I use the GCD of 496, 972, 689, 104Calculator?

Out the numbers 496, 972, 689, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.