GCD of 142, 280, 280, 272 Calculator

Given Input numbers are 142, 280, 280, 272

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

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 272 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (142, 280, 280, 272) = 2.

Given numbers are 142, 280, 280, 272

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 142, 280, 280, 272 is 2.

Given numbers are 142, 280, 280, 272

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

Apply this formula for all numbers.

Step1:

LCM(142, 280) = 19880

GCD(142, 280) = ( 142 x 280 ) / 19880

= 142 / 280

= 142

Step2:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 142, 280, 280, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 877, 879, 788
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Given numbers are 142, 280, 280, 272
The greatest common divisor of numbers 142, 280, 280, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 280, 280, 272 is 2.

1. What is the GCD of 142, 280, 280, 272?

GCD of given numbers 142, 280, 280, 272 is 2

2. How to calculate the greatest common divisor of 142, 280, 280, 272?

We can find the highest common divisor of 142, 280, 280, 272 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 142, 280, 280, 272 i.e 2.

3. How can I use the GCD of 142, 280, 280, 272Calculator?

Out the numbers 142, 280, 280, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.