GCD of 106, 970, 724, 126 Calculator

Given Input numbers are 106, 970, 724, 126

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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

GCD of numbers is the greatest common divisor

So, the GCD (106, 970, 724, 126) = 2.

Given numbers are 106, 970, 724, 126

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 970 are 2 x 5 x 97

Prime factors of 724 are 2 x 2 x 181

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

The highest common occurrence is 2¹

Therefore, GCD of 106, 970, 724, 126 is 2.

Given numbers are 106, 970, 724, 126

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

Apply this formula for all numbers.

Step1:

LCM(106, 970) = 51410

GCD(106, 970) = ( 106 x 970 ) / 51410

= 106 / 970

= 106

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

Step3:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2

So, Greatest Common Divisor of 106, 970, 724, 126 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 285, 693, 430
• GCD of 158, 437, 726, 603
• GCD of 860, 955, 789, 123
• GCD of 220, 169, 397, 872
• GCD of 313, 565, 900, 530

Given numbers are 106, 970, 724, 126
The greatest common divisor of numbers 106, 970, 724, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 970, 724, 126 is 2.

1. What is the GCD of 106, 970, 724, 126?

GCD of given numbers 106, 970, 724, 126 is 2

2. How to calculate the greatest common divisor of 106, 970, 724, 126?

We can find the highest common divisor of 106, 970, 724, 126 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 106, 970, 724, 126 i.e 2.

3. How can I use the GCD of 106, 970, 724, 126Calculator?

Out the numbers 106, 970, 724, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.