GCD of 748, 200, 289, 128 Calculator

Given Input numbers are 748, 200, 289, 128

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

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

GCD of numbers is the greatest common divisor

So, the GCD (748, 200, 289, 128) = 1.

Given numbers are 748, 200, 289, 128

The list of prime factors of all numbers are

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

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 289 are 17 x 17

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Given numbers are 748, 200, 289, 128

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

Apply this formula for all numbers.

Step1:

LCM(748, 200) = 37400

GCD(748, 200) = ( 748 x 200 ) / 37400

= 748 / 200

= 748

Step2:

LCM(4, 289) = 1156

GCD(4, 289) = ( 4 x 289 ) / 1156

= 4 / 289

= 4

Step3:

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

= 1 / 128

= 1

So, Greatest Common Divisor of 748, 200, 289, 128 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 893, 227, 444
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Given numbers are 748, 200, 289, 128
The greatest common divisor of numbers 748, 200, 289, 128 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 200, 289, 128 is 1.

1. What is the GCD of 748, 200, 289, 128?

GCD of given numbers 748, 200, 289, 128 is 1

2. How to calculate the greatest common divisor of 748, 200, 289, 128?

We can find the highest common divisor of 748, 200, 289, 128 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 748, 200, 289, 128 i.e 1.

3. How can I use the GCD of 748, 200, 289, 128Calculator?

Out the numbers 748, 200, 289, 128 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.