GCD of 752, 538, 898, 813 Calculator

Given Input numbers are 752, 538, 898, 813

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 538 :

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

1, 2, 269, 538

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (752, 538, 898, 813) = 1.

Given numbers are 752, 538, 898, 813

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 538 are 2 x 269

Prime factors of 898 are 2 x 449

Prime factors of 813 are 3 x 271

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

Given numbers are 752, 538, 898, 813

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

Apply this formula for all numbers.

Step1:

LCM(752, 538) = 202288

GCD(752, 538) = ( 752 x 538 ) / 202288

= 752 / 538

= 752

Step2:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

Step3:

LCM(2, 813) = 1626

GCD(2, 813) = ( 2 x 813 ) / 1626

= 2 / 813

= 2

So, Greatest Common Divisor of 752, 538, 898, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 564, 765, 390
• GCD of 924, 241, 754, 251
• GCD of 414, 904, 754, 877
• GCD of 401, 291, 795, 590
• GCD of 437, 988, 140, 904

Given numbers are 752, 538, 898, 813
The greatest common divisor of numbers 752, 538, 898, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 538, 898, 813 is 1.

1. What is the GCD of 752, 538, 898, 813?

GCD of given numbers 752, 538, 898, 813 is 1

2. How to calculate the greatest common divisor of 752, 538, 898, 813?

We can find the highest common divisor of 752, 538, 898, 813 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 752, 538, 898, 813 i.e 1.

3. How can I use the GCD of 752, 538, 898, 813Calculator?

Out the numbers 752, 538, 898, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.