GCD of 126, 658, 984, 123 Calculator

Given Input numbers are 126, 658, 984, 123

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

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (126, 658, 984, 123) = 1.

Given numbers are 126, 658, 984, 123

The list of prime factors of all numbers are

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

Prime factors of 658 are 2 x 7 x 47

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 123 are 3 x 41

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

Given numbers are 126, 658, 984, 123

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

Apply this formula for all numbers.

Step1:

LCM(126, 658) = 5922

GCD(126, 658) = ( 126 x 658 ) / 5922

= 126 / 658

= 126

Step2:

LCM(14, 984) = 6888

GCD(14, 984) = ( 14 x 984 ) / 6888

= 14 / 984

= 14

Step3:

LCM(2, 123) = 246

GCD(2, 123) = ( 2 x 123 ) / 246

= 2 / 123

= 2

So, Greatest Common Divisor of 126, 658, 984, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 616, 581, 401
• GCD of 811, 635, 304, 542
• GCD of 347, 186, 944, 716
• GCD of 807, 411, 379, 357
• GCD of 865, 154, 322, 495

Given numbers are 126, 658, 984, 123
The greatest common divisor of numbers 126, 658, 984, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 658, 984, 123 is 1.

1. What is the GCD of 126, 658, 984, 123?

GCD of given numbers 126, 658, 984, 123 is 1

2. How to calculate the greatest common divisor of 126, 658, 984, 123?

We can find the highest common divisor of 126, 658, 984, 123 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 126, 658, 984, 123 i.e 1.

3. How can I use the GCD of 126, 658, 984, 123Calculator?

Out the numbers 126, 658, 984, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.