GCD of 272, 692, 142, 904 Calculator

Given Input numbers are 272, 692, 142, 904

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

GCD of numbers is the greatest common divisor

So, the GCD (272, 692, 142, 904) = 2.

Given numbers are 272, 692, 142, 904

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 692 are 2 x 2 x 173

Prime factors of 142 are 2 x 71

Prime factors of 904 are 2 x 2 x 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 272, 692, 142, 904 is 2.

Given numbers are 272, 692, 142, 904

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

Apply this formula for all numbers.

Step1:

LCM(272, 692) = 47056

GCD(272, 692) = ( 272 x 692 ) / 47056

= 272 / 692

= 272

Step2:

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

= 4 / 142

= 4

Step3:

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

= 2 / 904

= 2

So, Greatest Common Divisor of 272, 692, 142, 904 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 402, 860, 521
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• GCD of 603, 762, 465, 531

Given numbers are 272, 692, 142, 904
The greatest common divisor of numbers 272, 692, 142, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 692, 142, 904 is 2.

1. What is the GCD of 272, 692, 142, 904?

GCD of given numbers 272, 692, 142, 904 is 2

2. How to calculate the greatest common divisor of 272, 692, 142, 904?

We can find the highest common divisor of 272, 692, 142, 904 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 272, 692, 142, 904 i.e 2.

3. How can I use the GCD of 272, 692, 142, 904Calculator?

Out the numbers 272, 692, 142, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.