GCD of 735, 977, 360, 198 Calculator

Given Input numbers are 735, 977, 360, 198

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 977 :

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

1, 977

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 (735, 977, 360, 198) = 1.

Given numbers are 735, 977, 360, 198

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 977 are 977

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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 735, 977, 360, 198

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

Apply this formula for all numbers.

Step1:

LCM(735, 977) = 718095

GCD(735, 977) = ( 735 x 977 ) / 718095

= 735 / 977

= 735

Step2:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

Step3:

LCM(1, 198) = 198

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

= 1 / 198

= 1

So, Greatest Common Divisor of 735, 977, 360, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 854, 876, 268
• GCD of 635, 890, 609, 952
• GCD of 583, 723, 356, 349
• GCD of 985, 983, 946, 982
• GCD of 189, 832, 533, 434

Given numbers are 735, 977, 360, 198
The greatest common divisor of numbers 735, 977, 360, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 977, 360, 198 is 1.

1. What is the GCD of 735, 977, 360, 198?

GCD of given numbers 735, 977, 360, 198 is 1

2. How to calculate the greatest common divisor of 735, 977, 360, 198?

We can find the highest common divisor of 735, 977, 360, 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 735, 977, 360, 198 i.e 1.

3. How can I use the GCD of 735, 977, 360, 198Calculator?

Out the numbers 735, 977, 360, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.