GCD of 492, 975, 150, 411 Calculator

Given Input numbers are 492, 975, 150, 411

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 411 :

The positive integer divisors of 411 that completely divides 411 are.

1, 3, 137, 411

GCD of numbers is the greatest common divisor

So, the GCD (492, 975, 150, 411) = 3.

Given numbers are 492, 975, 150, 411

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 975 are 3 x 5 x 5 x 13

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

Prime factors of 411 are 3 x 137

The highest common occurrence is 3¹

Therefore, GCD of 492, 975, 150, 411 is 3.

Given numbers are 492, 975, 150, 411

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

Apply this formula for all numbers.

Step1:

LCM(492, 975) = 159900

GCD(492, 975) = ( 492 x 975 ) / 159900

= 492 / 975

= 492

Step2:

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

= 3 / 150

= 3

Step3:

LCM(3, 411) = 411

GCD(3, 411) = ( 3 x 411 ) / 411

= 3 / 411

= 3

So, Greatest Common Divisor of 492, 975, 150, 411 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 945, 462, 634
• GCD of 330, 347, 392, 192
• GCD of 430, 968, 708, 635
• GCD of 198, 934, 256, 861
• GCD of 484, 121, 848, 410

Given numbers are 492, 975, 150, 411
The greatest common divisor of numbers 492, 975, 150, 411 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 975, 150, 411 is 3.

1. What is the GCD of 492, 975, 150, 411?

GCD of given numbers 492, 975, 150, 411 is 3

2. How to calculate the greatest common divisor of 492, 975, 150, 411?

We can find the highest common divisor of 492, 975, 150, 411 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 492, 975, 150, 411 i.e 3.

3. How can I use the GCD of 492, 975, 150, 411Calculator?

Out the numbers 492, 975, 150, 411 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.