GCD of 820, 126, 270, 724 Calculator

Given Input numbers are 820, 126, 270, 724

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

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

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (820, 126, 270, 724) = 2.

Given numbers are 820, 126, 270, 724

The list of prime factors of all numbers are

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

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

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 820, 126, 270, 724 is 2.

Given numbers are 820, 126, 270, 724

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

Apply this formula for all numbers.

Step1:

LCM(820, 126) = 51660

GCD(820, 126) = ( 820 x 126 ) / 51660

= 820 / 126

= 820

Step2:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

Step3:

LCM(2, 724) = 724

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

= 2 / 724

= 2

So, Greatest Common Divisor of 820, 126, 270, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 364, 796, 597
• GCD of 823, 846, 866, 648
• GCD of 502, 708, 465, 828
• GCD of 254, 911, 347, 134
• GCD of 543, 410, 528, 815

Given numbers are 820, 126, 270, 724
The greatest common divisor of numbers 820, 126, 270, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 126, 270, 724 is 2.

1. What is the GCD of 820, 126, 270, 724?

GCD of given numbers 820, 126, 270, 724 is 2

2. How to calculate the greatest common divisor of 820, 126, 270, 724?

We can find the highest common divisor of 820, 126, 270, 724 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 820, 126, 270, 724 i.e 2.

3. How can I use the GCD of 820, 126, 270, 724Calculator?

Out the numbers 820, 126, 270, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.