GCD of 723, 977, 639, 198 Calculator

Given Input numbers are 723, 977, 639, 198

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

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

GCD of numbers is the greatest common divisor

So, the GCD (723, 977, 639, 198) = 1.

Given numbers are 723, 977, 639, 198

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 977 are 977

Prime factors of 639 are 3 x 3 x 71

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

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

Given numbers are 723, 977, 639, 198

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

Apply this formula for all numbers.

Step1:

LCM(723, 977) = 706371

GCD(723, 977) = ( 723 x 977 ) / 706371

= 723 / 977

= 723

Step2:

LCM(1, 639) = 639

GCD(1, 639) = ( 1 x 639 ) / 639

= 1 / 639

= 1

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 723, 977, 639, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 381, 856, 905
• GCD of 137, 208, 533, 254
• GCD of 969, 408, 244, 250
• GCD of 844, 403, 735, 647
• GCD of 924, 772, 340, 908

Given numbers are 723, 977, 639, 198
The greatest common divisor of numbers 723, 977, 639, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 977, 639, 198 is 1.

1. What is the GCD of 723, 977, 639, 198?

GCD of given numbers 723, 977, 639, 198 is 1

2. How to calculate the greatest common divisor of 723, 977, 639, 198?

We can find the highest common divisor of 723, 977, 639, 198 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 723, 977, 639, 198 i.e 1.

3. How can I use the GCD of 723, 977, 639, 198Calculator?

Out the numbers 723, 977, 639, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.