GCD of 849, 137, 288, 748 Calculator

Given Input numbers are 849, 137, 288, 748

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (849, 137, 288, 748) = 1.

Given numbers are 849, 137, 288, 748

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 137 are 137

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 849, 137, 288, 748

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

Apply this formula for all numbers.

Step1:

LCM(849, 137) = 116313

GCD(849, 137) = ( 849 x 137 ) / 116313

= 849 / 137

= 849

Step2:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 849, 137, 288, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 851, 308, 421
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Given numbers are 849, 137, 288, 748
The greatest common divisor of numbers 849, 137, 288, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 137, 288, 748 is 1.

1. What is the GCD of 849, 137, 288, 748?

GCD of given numbers 849, 137, 288, 748 is 1

2. How to calculate the greatest common divisor of 849, 137, 288, 748?

We can find the highest common divisor of 849, 137, 288, 748 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 849, 137, 288, 748 i.e 1.

3. How can I use the GCD of 849, 137, 288, 748Calculator?

Out the numbers 849, 137, 288, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.