GCD of 141, 450, 909, 741 Calculator

Given Input numbers are 141, 450, 909, 741

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

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 909 :

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

1, 3, 9, 101, 303, 909

Divisors of 741 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (141, 450, 909, 741) = 3.

Given numbers are 141, 450, 909, 741

The list of prime factors of all numbers are

Prime factors of 141 are 3 x 47

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 909 are 3 x 3 x 101

Prime factors of 741 are 3 x 13 x 19

The highest common occurrence is 3¹

Therefore, GCD of 141, 450, 909, 741 is 3.

Given numbers are 141, 450, 909, 741

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

Apply this formula for all numbers.

Step1:

LCM(141, 450) = 21150

GCD(141, 450) = ( 141 x 450 ) / 21150

= 141 / 450

= 141

Step2:

LCM(3, 909) = 909

GCD(3, 909) = ( 3 x 909 ) / 909

= 3 / 909

= 3

Step3:

LCM(3, 741) = 741

GCD(3, 741) = ( 3 x 741 ) / 741

= 3 / 741

= 3

So, Greatest Common Divisor of 141, 450, 909, 741 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 762, 155, 432
• GCD of 153, 159, 903, 175
• GCD of 642, 851, 978, 158
• GCD of 340, 165, 520, 399
• GCD of 955, 111, 659, 330

Given numbers are 141, 450, 909, 741
The greatest common divisor of numbers 141, 450, 909, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 141, 450, 909, 741 is 3.

1. What is the GCD of 141, 450, 909, 741?

GCD of given numbers 141, 450, 909, 741 is 3

2. How to calculate the greatest common divisor of 141, 450, 909, 741?

We can find the highest common divisor of 141, 450, 909, 741 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 141, 450, 909, 741 i.e 3.

3. How can I use the GCD of 141, 450, 909, 741Calculator?

Out the numbers 141, 450, 909, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.