GCD of 789, 420, 553, 235 Calculator

Given Input numbers are 789, 420, 553, 235

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

GCD of numbers is the greatest common divisor

So, the GCD (789, 420, 553, 235) = 1.

Given numbers are 789, 420, 553, 235

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 553 are 7 x 79

Prime factors of 235 are 5 x 47

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

Given numbers are 789, 420, 553, 235

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

Apply this formula for all numbers.

Step1:

LCM(789, 420) = 110460

GCD(789, 420) = ( 789 x 420 ) / 110460

= 789 / 420

= 789

Step2:

LCM(3, 553) = 1659

GCD(3, 553) = ( 3 x 553 ) / 1659

= 3 / 553

= 3

Step3:

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

= 1 / 235

= 1

So, Greatest Common Divisor of 789, 420, 553, 235 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 259, 973, 201
• GCD of 493, 105, 842, 549
• GCD of 998, 427, 891, 108
• GCD of 355, 347, 167, 856
• GCD of 640, 825, 711, 993

Given numbers are 789, 420, 553, 235
The greatest common divisor of numbers 789, 420, 553, 235 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 420, 553, 235 is 1.

1. What is the GCD of 789, 420, 553, 235?

GCD of given numbers 789, 420, 553, 235 is 1

2. How to calculate the greatest common divisor of 789, 420, 553, 235?

We can find the highest common divisor of 789, 420, 553, 235 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 789, 420, 553, 235 i.e 1.

3. How can I use the GCD of 789, 420, 553, 235Calculator?

Out the numbers 789, 420, 553, 235 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.