GCD of 726, 126, 236, 820 Calculator

Given Input numbers are 726, 126, 236, 820

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

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 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 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (726, 126, 236, 820) = 2.

Given numbers are 726, 126, 236, 820

The list of prime factors of all numbers are

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

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

Prime factors of 236 are 2 x 2 x 59

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 726, 126, 236, 820 is 2.

Given numbers are 726, 126, 236, 820

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

Apply this formula for all numbers.

Step1:

LCM(726, 126) = 15246

GCD(726, 126) = ( 726 x 126 ) / 15246

= 726 / 126

= 726

Step2:

LCM(6, 236) = 708

GCD(6, 236) = ( 6 x 236 ) / 708

= 6 / 236

= 6

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 726, 126, 236, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 962, 161, 130
• GCD of 830, 251, 650, 522
• GCD of 987, 143, 650, 420
• GCD of 227, 438, 140, 183
• GCD of 810, 537, 386, 589

Given numbers are 726, 126, 236, 820
The greatest common divisor of numbers 726, 126, 236, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 126, 236, 820 is 2.

1. What is the GCD of 726, 126, 236, 820?

GCD of given numbers 726, 126, 236, 820 is 2

2. How to calculate the greatest common divisor of 726, 126, 236, 820?

We can find the highest common divisor of 726, 126, 236, 820 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 726, 126, 236, 820 i.e 2.

3. How can I use the GCD of 726, 126, 236, 820Calculator?

Out the numbers 726, 126, 236, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.