GCD of 147, 687, 90, 996 Calculator

Given Input numbers are 147, 687, 90, 996

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (147, 687, 90, 996) = 3.

Given numbers are 147, 687, 90, 996

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

Prime factors of 687 are 3 x 229

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 147, 687, 90, 996 is 3.

Given numbers are 147, 687, 90, 996

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

Apply this formula for all numbers.

Step1:

LCM(147, 687) = 33663

GCD(147, 687) = ( 147 x 687 ) / 33663

= 147 / 687

= 147

Step2:

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

= 3 / 90

= 3

Step3:

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

= 3 / 996

= 3

So, Greatest Common Divisor of 147, 687, 90, 996 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 502, 83, 515
• GCD of 137, 729, 24, 516
• GCD of 533, 799, 22, 499
• GCD of 417, 287, 62, 319
• GCD of 400, 300, 77, 558

Given numbers are 147, 687, 90, 996
The greatest common divisor of numbers 147, 687, 90, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 687, 90, 996 is 3.

1. What is the GCD of 147, 687, 90, 996?

GCD of given numbers 147, 687, 90, 996 is 3

2. How to calculate the greatest common divisor of 147, 687, 90, 996?

We can find the highest common divisor of 147, 687, 90, 996 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 147, 687, 90, 996 i.e 3.

3. How can I use the GCD of 147, 687, 90, 996Calculator?

Out the numbers 147, 687, 90, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.