GCD of 104, 972, 584, 737 Calculator

Given Input numbers are 104, 972, 584, 737

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 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 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

GCD of numbers is the greatest common divisor

So, the GCD (104, 972, 584, 737) = 1.

Given numbers are 104, 972, 584, 737

The list of prime factors of all numbers are

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

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

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 737 are 11 x 67

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

Given numbers are 104, 972, 584, 737

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

Apply this formula for all numbers.

Step1:

LCM(104, 972) = 25272

GCD(104, 972) = ( 104 x 972 ) / 25272

= 104 / 972

= 104

Step2:

LCM(4, 584) = 584

GCD(4, 584) = ( 4 x 584 ) / 584

= 4 / 584

= 4

Step3:

LCM(4, 737) = 2948

GCD(4, 737) = ( 4 x 737 ) / 2948

= 4 / 737

= 4

So, Greatest Common Divisor of 104, 972, 584, 737 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 862, 654, 795
• GCD of 948, 310, 692, 182
• GCD of 140, 679, 363, 709
• GCD of 603, 484, 901, 609
• GCD of 802, 879, 148, 793

Given numbers are 104, 972, 584, 737
The greatest common divisor of numbers 104, 972, 584, 737 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 972, 584, 737 is 1.

1. What is the GCD of 104, 972, 584, 737?

GCD of given numbers 104, 972, 584, 737 is 1

2. How to calculate the greatest common divisor of 104, 972, 584, 737?

We can find the highest common divisor of 104, 972, 584, 737 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, 972, 584, 737 i.e 1.

3. How can I use the GCD of 104, 972, 584, 737Calculator?

Out the numbers 104, 972, 584, 737 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.