GCD of 755, 905, 420, 898 Calculator

Given Input numbers are 755, 905, 420, 898

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

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

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 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (755, 905, 420, 898) = 1.

Given numbers are 755, 905, 420, 898

The list of prime factors of all numbers are

Prime factors of 755 are 5 x 151

Prime factors of 905 are 5 x 181

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

Prime factors of 898 are 2 x 449

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

Given numbers are 755, 905, 420, 898

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

Apply this formula for all numbers.

Step1:

LCM(755, 905) = 136655

GCD(755, 905) = ( 755 x 905 ) / 136655

= 755 / 905

= 755

Step2:

LCM(5, 420) = 420

GCD(5, 420) = ( 5 x 420 ) / 420

= 5 / 420

= 5

Step3:

LCM(5, 898) = 4490

GCD(5, 898) = ( 5 x 898 ) / 4490

= 5 / 898

= 5

So, Greatest Common Divisor of 755, 905, 420, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 118, 997, 123
• GCD of 905, 796, 997, 880
• GCD of 291, 861, 875, 204
• GCD of 140, 213, 986, 212
• GCD of 115, 257, 866, 996

Given numbers are 755, 905, 420, 898
The greatest common divisor of numbers 755, 905, 420, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 755, 905, 420, 898 is 1.

1. What is the GCD of 755, 905, 420, 898?

GCD of given numbers 755, 905, 420, 898 is 1

2. How to calculate the greatest common divisor of 755, 905, 420, 898?

We can find the highest common divisor of 755, 905, 420, 898 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 755, 905, 420, 898 i.e 1.

3. How can I use the GCD of 755, 905, 420, 898Calculator?

Out the numbers 755, 905, 420, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.