GCD of 749, 388, 538, 253 Calculator

Given Input numbers are 749, 388, 538, 253

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (749, 388, 538, 253) = 1.

Given numbers are 749, 388, 538, 253

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 388 are 2 x 2 x 97

Prime factors of 538 are 2 x 269

Prime factors of 253 are 11 x 23

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

Given numbers are 749, 388, 538, 253

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

Apply this formula for all numbers.

Step1:

LCM(749, 388) = 290612

GCD(749, 388) = ( 749 x 388 ) / 290612

= 749 / 388

= 749

Step2:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1

Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1

So, Greatest Common Divisor of 749, 388, 538, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 305, 522, 168
• GCD of 202, 668, 247, 698
• GCD of 918, 581, 984, 756
• GCD of 685, 753, 300, 174
• GCD of 517, 982, 597, 374

Given numbers are 749, 388, 538, 253
The greatest common divisor of numbers 749, 388, 538, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 388, 538, 253 is 1.

1. What is the GCD of 749, 388, 538, 253?

GCD of given numbers 749, 388, 538, 253 is 1

2. How to calculate the greatest common divisor of 749, 388, 538, 253?

We can find the highest common divisor of 749, 388, 538, 253 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 749, 388, 538, 253 i.e 1.

3. How can I use the GCD of 749, 388, 538, 253Calculator?

Out the numbers 749, 388, 538, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.