GCD of 987, 427, 126, 399 Calculator

Given Input numbers are 987, 427, 126, 399

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

Divisors of 987 :

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

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

GCD of numbers is the greatest common divisor

So, the GCD (987, 427, 126, 399) = 7.

Given numbers are 987, 427, 126, 399

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 427 are 7 x 61

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 399 are 3 x 7 x 19

The highest common occurrence is 7¹

Therefore, GCD of 987, 427, 126, 399 is 7.

Given numbers are 987, 427, 126, 399

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

Apply this formula for all numbers.

Step1:

LCM(987, 427) = 60207

GCD(987, 427) = ( 987 x 427 ) / 60207

= 987 / 427

= 987

Step2:

LCM(7, 126) = 126

GCD(7, 126) = ( 7 x 126 ) / 126

= 7 / 126

= 7

Step3:

LCM(7, 399) = 399

GCD(7, 399) = ( 7 x 399 ) / 399

= 7 / 399

= 7

So, Greatest Common Divisor of 987, 427, 126, 399 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 651, 972, 174
• GCD of 993, 878, 143, 426
• GCD of 264, 702, 888, 925
• GCD of 127, 879, 324, 139
• GCD of 986, 942, 188, 420

Given numbers are 987, 427, 126, 399
The greatest common divisor of numbers 987, 427, 126, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 427, 126, 399 is 7.

1. What is the GCD of 987, 427, 126, 399?

GCD of given numbers 987, 427, 126, 399 is 7

2. How to calculate the greatest common divisor of 987, 427, 126, 399?

We can find the highest common divisor of 987, 427, 126, 399 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 987, 427, 126, 399 i.e 7.

3. How can I use the GCD of 987, 427, 126, 399Calculator?

Out the numbers 987, 427, 126, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.