GCD of 748, 270, 296, 369 Calculator

Given Input numbers are 748, 270, 296, 369

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (748, 270, 296, 369) = 1.

Given numbers are 748, 270, 296, 369

The list of prime factors of all numbers are

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

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 369 are 3 x 3 x 41

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

Given numbers are 748, 270, 296, 369

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

Apply this formula for all numbers.

Step1:

LCM(748, 270) = 100980

GCD(748, 270) = ( 748 x 270 ) / 100980

= 748 / 270

= 748

Step2:

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

= 2 / 296

= 2

Step3:

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

= 2 / 369

= 2

So, Greatest Common Divisor of 748, 270, 296, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 543, 731, 888
• GCD of 875, 482, 282, 866
• GCD of 124, 283, 123, 493
• GCD of 906, 318, 833, 465
• GCD of 991, 266, 419, 196

Given numbers are 748, 270, 296, 369
The greatest common divisor of numbers 748, 270, 296, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 270, 296, 369 is 1.

1. What is the GCD of 748, 270, 296, 369?

GCD of given numbers 748, 270, 296, 369 is 1

2. How to calculate the greatest common divisor of 748, 270, 296, 369?

We can find the highest common divisor of 748, 270, 296, 369 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, 270, 296, 369 i.e 1.

3. How can I use the GCD of 748, 270, 296, 369Calculator?

Out the numbers 748, 270, 296, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.