GCD of 747, 192, 100, 920 Calculator

Given Input numbers are 747, 192, 100, 920

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (747, 192, 100, 920) = 1.

Given numbers are 747, 192, 100, 920

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 747, 192, 100, 920

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

Apply this formula for all numbers.

Step1:

LCM(747, 192) = 47808

GCD(747, 192) = ( 747 x 192 ) / 47808

= 747 / 192

= 747

Step2:

LCM(3, 100) = 300

GCD(3, 100) = ( 3 x 100 ) / 300

= 3 / 100

= 3

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 747, 192, 100, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 233, 256, 849
• GCD of 369, 543, 177, 952
• GCD of 194, 247, 817, 637
• GCD of 617, 263, 164, 113
• GCD of 793, 540, 145, 398

Given numbers are 747, 192, 100, 920
The greatest common divisor of numbers 747, 192, 100, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 192, 100, 920 is 1.

1. What is the GCD of 747, 192, 100, 920?

GCD of given numbers 747, 192, 100, 920 is 1

2. How to calculate the greatest common divisor of 747, 192, 100, 920?

We can find the highest common divisor of 747, 192, 100, 920 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 747, 192, 100, 920 i.e 1.

3. How can I use the GCD of 747, 192, 100, 920Calculator?

Out the numbers 747, 192, 100, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.