GCD of 105, 150, 21, 954 Calculator

Given Input numbers are 105, 150, 21, 954

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

GCD of numbers is the greatest common divisor

So, the GCD (105, 150, 21, 954) = 3.

Given numbers are 105, 150, 21, 954

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 21 are 3 x 7

Prime factors of 954 are 2 x 3 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 105, 150, 21, 954 is 3.

Given numbers are 105, 150, 21, 954

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

Apply this formula for all numbers.

Step1:

LCM(105, 150) = 1050

GCD(105, 150) = ( 105 x 150 ) / 1050

= 105 / 150

= 105

Step2:

LCM(15, 21) = 105

GCD(15, 21) = ( 15 x 21 ) / 105

= 15 / 21

= 15

Step3:

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

= 3 / 954

= 3

So, Greatest Common Divisor of 105, 150, 21, 954 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 713, 37, 877
• GCD of 691, 398, 86, 576
• GCD of 980, 315, 49, 322
• GCD of 699, 256, 73, 722
• GCD of 960, 939, 65, 783

Given numbers are 105, 150, 21, 954
The greatest common divisor of numbers 105, 150, 21, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 150, 21, 954 is 3.

1. What is the GCD of 105, 150, 21, 954?

GCD of given numbers 105, 150, 21, 954 is 3

2. How to calculate the greatest common divisor of 105, 150, 21, 954?

We can find the highest common divisor of 105, 150, 21, 954 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 105, 150, 21, 954 i.e 3.

3. How can I use the GCD of 105, 150, 21, 954Calculator?

Out the numbers 105, 150, 21, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.