GCD of 872, 142, 938, 228 Calculator

Given Input numbers are 872, 142, 938, 228

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (872, 142, 938, 228) = 2.

Given numbers are 872, 142, 938, 228

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 142 are 2 x 71

Prime factors of 938 are 2 x 7 x 67

Prime factors of 228 are 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 872, 142, 938, 228 is 2.

Given numbers are 872, 142, 938, 228

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

Apply this formula for all numbers.

Step1:

LCM(872, 142) = 61912

GCD(872, 142) = ( 872 x 142 ) / 61912

= 872 / 142

= 872

Step2:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

Step3:

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

= 2 / 228

= 2

So, Greatest Common Divisor of 872, 142, 938, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 493, 409, 981
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Given numbers are 872, 142, 938, 228
The greatest common divisor of numbers 872, 142, 938, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 142, 938, 228 is 2.

1. What is the GCD of 872, 142, 938, 228?

GCD of given numbers 872, 142, 938, 228 is 2

2. How to calculate the greatest common divisor of 872, 142, 938, 228?

We can find the highest common divisor of 872, 142, 938, 228 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 872, 142, 938, 228 i.e 2.

3. How can I use the GCD of 872, 142, 938, 228Calculator?

Out the numbers 872, 142, 938, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.