GCD of 274, 972, 444, 650 Calculator

Given Input numbers are 274, 972, 444, 650

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

GCD of numbers is the greatest common divisor

So, the GCD (274, 972, 444, 650) = 2.

Given numbers are 274, 972, 444, 650

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 650 are 2 x 5 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 274, 972, 444, 650 is 2.

Given numbers are 274, 972, 444, 650

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

Apply this formula for all numbers.

Step1:

LCM(274, 972) = 133164

GCD(274, 972) = ( 274 x 972 ) / 133164

= 274 / 972

= 274

Step2:

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

= 2 / 444

= 2

Step3:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2

So, Greatest Common Divisor of 274, 972, 444, 650 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 893, 175, 300
• GCD of 361, 957, 220, 907
• GCD of 543, 887, 428, 656
• GCD of 824, 842, 752, 513
• GCD of 571, 992, 483, 956

Given numbers are 274, 972, 444, 650
The greatest common divisor of numbers 274, 972, 444, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 972, 444, 650 is 2.

1. What is the GCD of 274, 972, 444, 650?

GCD of given numbers 274, 972, 444, 650 is 2

2. How to calculate the greatest common divisor of 274, 972, 444, 650?

We can find the highest common divisor of 274, 972, 444, 650 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 274, 972, 444, 650 i.e 2.

3. How can I use the GCD of 274, 972, 444, 650Calculator?

Out the numbers 274, 972, 444, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.