GCD of 126, 876, 726, 406 Calculator

Given Input numbers are 126, 876, 726, 406

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 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

GCD of numbers is the greatest common divisor

So, the GCD (126, 876, 726, 406) = 2.

Given numbers are 126, 876, 726, 406

The list of prime factors of all numbers are

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

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 406 are 2 x 7 x 29

The highest common occurrence is 2¹

Therefore, GCD of 126, 876, 726, 406 is 2.

Given numbers are 126, 876, 726, 406

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

Apply this formula for all numbers.

Step1:

LCM(126, 876) = 18396

GCD(126, 876) = ( 126 x 876 ) / 18396

= 126 / 876

= 126

Step2:

LCM(6, 726) = 726

GCD(6, 726) = ( 6 x 726 ) / 726

= 6 / 726

= 6

Step3:

LCM(6, 406) = 1218

GCD(6, 406) = ( 6 x 406 ) / 1218

= 6 / 406

= 6

So, Greatest Common Divisor of 126, 876, 726, 406 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 575, 642, 146
• GCD of 284, 443, 714, 600
• GCD of 633, 599, 813, 821
• GCD of 776, 656, 296, 660
• GCD of 689, 918, 859, 367

Given numbers are 126, 876, 726, 406
The greatest common divisor of numbers 126, 876, 726, 406 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 876, 726, 406 is 2.

1. What is the GCD of 126, 876, 726, 406?

GCD of given numbers 126, 876, 726, 406 is 2

2. How to calculate the greatest common divisor of 126, 876, 726, 406?

We can find the highest common divisor of 126, 876, 726, 406 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, 876, 726, 406 i.e 2.

3. How can I use the GCD of 126, 876, 726, 406Calculator?

Out the numbers 126, 876, 726, 406 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.