GCD of 408, 492, 755, 987 Calculator

Given Input numbers are 408, 492, 755, 987

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (408, 492, 755, 987) = 1.

Given numbers are 408, 492, 755, 987

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

Prime factors of 755 are 5 x 151

Prime factors of 987 are 3 x 7 x 47

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 408, 492, 755, 987

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

Apply this formula for all numbers.

Step1:

LCM(408, 492) = 16728

GCD(408, 492) = ( 408 x 492 ) / 16728

= 408 / 492

= 408

Step2:

LCM(12, 755) = 9060

GCD(12, 755) = ( 12 x 755 ) / 9060

= 12 / 755

= 12

Step3:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1

So, Greatest Common Divisor of 408, 492, 755, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 707, 759, 265
• GCD of 999, 868, 591, 182
• GCD of 991, 137, 771, 970
• GCD of 963, 822, 613, 226
• GCD of 723, 505, 632, 776

Given numbers are 408, 492, 755, 987
The greatest common divisor of numbers 408, 492, 755, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 492, 755, 987 is 1.

1. What is the GCD of 408, 492, 755, 987?

GCD of given numbers 408, 492, 755, 987 is 1

2. How to calculate the greatest common divisor of 408, 492, 755, 987?

We can find the highest common divisor of 408, 492, 755, 987 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 408, 492, 755, 987 i.e 1.

3. How can I use the GCD of 408, 492, 755, 987Calculator?

Out the numbers 408, 492, 755, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.