GCD of 741, 909, 420, 949 Calculator

Given Input numbers are 741, 909, 420, 949

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

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

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 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

GCD of numbers is the greatest common divisor

So, the GCD (741, 909, 420, 949) = 1.

Given numbers are 741, 909, 420, 949

The list of prime factors of all numbers are

Prime factors of 741 are 3 x 13 x 19

Prime factors of 909 are 3 x 3 x 101

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

Prime factors of 949 are 13 x 73

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

Given numbers are 741, 909, 420, 949

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

Apply this formula for all numbers.

Step1:

LCM(741, 909) = 224523

GCD(741, 909) = ( 741 x 909 ) / 224523

= 741 / 909

= 741

Step2:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

Step3:

LCM(3, 949) = 2847

GCD(3, 949) = ( 3 x 949 ) / 2847

= 3 / 949

= 3

So, Greatest Common Divisor of 741, 909, 420, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 722, 599, 561
• GCD of 478, 195, 425, 326
• GCD of 590, 382, 417, 262
• GCD of 638, 955, 298, 393
• GCD of 455, 963, 340, 596

Given numbers are 741, 909, 420, 949
The greatest common divisor of numbers 741, 909, 420, 949 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 909, 420, 949 is 1.

1. What is the GCD of 741, 909, 420, 949?

GCD of given numbers 741, 909, 420, 949 is 1

2. How to calculate the greatest common divisor of 741, 909, 420, 949?

We can find the highest common divisor of 741, 909, 420, 949 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 741, 909, 420, 949 i.e 1.

3. How can I use the GCD of 741, 909, 420, 949Calculator?

Out the numbers 741, 909, 420, 949 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.