GCD of 747, 198, 649, 550 Calculator

Given Input numbers are 747, 198, 649, 550

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD of numbers is the greatest common divisor

So, the GCD (747, 198, 649, 550) = 1.

Given numbers are 747, 198, 649, 550

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 649 are 11 x 59

Prime factors of 550 are 2 x 5 x 5 x 11

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

Given numbers are 747, 198, 649, 550

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

Apply this formula for all numbers.

Step1:

LCM(747, 198) = 16434

GCD(747, 198) = ( 747 x 198 ) / 16434

= 747 / 198

= 747

Step2:

LCM(9, 649) = 5841

GCD(9, 649) = ( 9 x 649 ) / 5841

= 9 / 649

= 9

Step3:

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

= 1 / 550

= 1

So, Greatest Common Divisor of 747, 198, 649, 550 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 510, 123, 662
• GCD of 916, 867, 713, 732
• GCD of 355, 569, 128, 205
• GCD of 525, 586, 896, 931
• GCD of 164, 180, 463, 776

Given numbers are 747, 198, 649, 550
The greatest common divisor of numbers 747, 198, 649, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 198, 649, 550 is 1.

1. What is the GCD of 747, 198, 649, 550?

GCD of given numbers 747, 198, 649, 550 is 1

2. How to calculate the greatest common divisor of 747, 198, 649, 550?

We can find the highest common divisor of 747, 198, 649, 550 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, 198, 649, 550 i.e 1.

3. How can I use the GCD of 747, 198, 649, 550Calculator?

Out the numbers 747, 198, 649, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.