GCD of 154, 972, 170, 900 Calculator

Given Input numbers are 154, 972, 170, 900

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

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

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 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (154, 972, 170, 900) = 2.

Given numbers are 154, 972, 170, 900

The list of prime factors of all numbers are

Prime factors of 154 are 2 x 7 x 11

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

Prime factors of 170 are 2 x 5 x 17

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 154, 972, 170, 900 is 2.

Given numbers are 154, 972, 170, 900

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

Apply this formula for all numbers.

Step1:

LCM(154, 972) = 74844

GCD(154, 972) = ( 154 x 972 ) / 74844

= 154 / 972

= 154

Step2:

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

= 2 / 170

= 2

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 154, 972, 170, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 893, 640, 560
• GCD of 396, 218, 985, 401
• GCD of 411, 573, 504, 364
• GCD of 413, 632, 117, 595
• GCD of 295, 285, 791, 161

Given numbers are 154, 972, 170, 900
The greatest common divisor of numbers 154, 972, 170, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 972, 170, 900 is 2.

1. What is the GCD of 154, 972, 170, 900?

GCD of given numbers 154, 972, 170, 900 is 2

2. How to calculate the greatest common divisor of 154, 972, 170, 900?

We can find the highest common divisor of 154, 972, 170, 900 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 154, 972, 170, 900 i.e 2.

3. How can I use the GCD of 154, 972, 170, 900Calculator?

Out the numbers 154, 972, 170, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.