GCD of 465, 276, 272, 987 Calculator

Given Input numbers are 465, 276, 272, 987

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (465, 276, 272, 987) = 1.

Given numbers are 465, 276, 272, 987

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 276 are 2 x 2 x 3 x 23

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

Prime factors of 987 are 3 x 7 x 47

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 465, 276, 272, 987

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

Apply this formula for all numbers.

Step1:

LCM(465, 276) = 42780

GCD(465, 276) = ( 465 x 276 ) / 42780

= 465 / 276

= 465

Step2:

LCM(3, 272) = 816

GCD(3, 272) = ( 3 x 272 ) / 816

= 3 / 272

= 3

Step3:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1

So, Greatest Common Divisor of 465, 276, 272, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 809, 503, 551
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Given numbers are 465, 276, 272, 987
The greatest common divisor of numbers 465, 276, 272, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 276, 272, 987 is 1.

1. What is the GCD of 465, 276, 272, 987?

GCD of given numbers 465, 276, 272, 987 is 1

2. How to calculate the greatest common divisor of 465, 276, 272, 987?

We can find the highest common divisor of 465, 276, 272, 987 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 465, 276, 272, 987 i.e 1.

3. How can I use the GCD of 465, 276, 272, 987Calculator?

Out the numbers 465, 276, 272, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.