GCD of 675, 577, 420, 749 Calculator

Given Input numbers are 675, 577, 420, 749

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

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 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (675, 577, 420, 749) = 1.

Given numbers are 675, 577, 420, 749

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 577 are 577

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

Prime factors of 749 are 7 x 107

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

Given numbers are 675, 577, 420, 749

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

Apply this formula for all numbers.

Step1:

LCM(675, 577) = 389475

GCD(675, 577) = ( 675 x 577 ) / 389475

= 675 / 577

= 675

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 675, 577, 420, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 211, 142, 446
• GCD of 121, 728, 291, 515
• GCD of 367, 436, 519, 920
• GCD of 102, 284, 892, 968
• GCD of 646, 517, 164, 732

Given numbers are 675, 577, 420, 749
The greatest common divisor of numbers 675, 577, 420, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 577, 420, 749 is 1.

1. What is the GCD of 675, 577, 420, 749?

GCD of given numbers 675, 577, 420, 749 is 1

2. How to calculate the greatest common divisor of 675, 577, 420, 749?

We can find the highest common divisor of 675, 577, 420, 749 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 675, 577, 420, 749 i.e 1.

3. How can I use the GCD of 675, 577, 420, 749Calculator?

Out the numbers 675, 577, 420, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.