GCD of 100, 972, 499, 745 Calculator

Given Input numbers are 100, 972, 499, 745

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 499 :

The positive integer divisors of 499 that completely divides 499 are.

1, 499

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (100, 972, 499, 745) = 1.

Given numbers are 100, 972, 499, 745

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

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

Prime factors of 499 are 499

Prime factors of 745 are 5 x 149

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

Given numbers are 100, 972, 499, 745

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

Apply this formula for all numbers.

Step1:

LCM(100, 972) = 24300

GCD(100, 972) = ( 100 x 972 ) / 24300

= 100 / 972

= 100

Step2:

LCM(4, 499) = 1996

GCD(4, 499) = ( 4 x 499 ) / 1996

= 4 / 499

= 4

Step3:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

So, Greatest Common Divisor of 100, 972, 499, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 972, 748, 146
• GCD of 746, 196, 378, 452
• GCD of 303, 470, 466, 593
• GCD of 545, 910, 528, 927
• GCD of 810, 321, 655, 554

Given numbers are 100, 972, 499, 745
The greatest common divisor of numbers 100, 972, 499, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 972, 499, 745 is 1.

1. What is the GCD of 100, 972, 499, 745?

GCD of given numbers 100, 972, 499, 745 is 1

2. How to calculate the greatest common divisor of 100, 972, 499, 745?

We can find the highest common divisor of 100, 972, 499, 745 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 100, 972, 499, 745 i.e 1.

3. How can I use the GCD of 100, 972, 499, 745Calculator?

Out the numbers 100, 972, 499, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.