GCD of 752, 674, 755, 198 Calculator

Given Input numbers are 752, 674, 755, 198

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 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (752, 674, 755, 198) = 1.

Given numbers are 752, 674, 755, 198

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 674 are 2 x 337

Prime factors of 755 are 5 x 151

Prime factors of 198 are 2 x 3 x 3 x 11

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

Given numbers are 752, 674, 755, 198

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

Apply this formula for all numbers.

Step1:

LCM(752, 674) = 253424

GCD(752, 674) = ( 752 x 674 ) / 253424

= 752 / 674

= 752

Step2:

LCM(2, 755) = 1510

GCD(2, 755) = ( 2 x 755 ) / 1510

= 2 / 755

= 2

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 752, 674, 755, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 269, 899, 629
• GCD of 215, 150, 421, 204
• GCD of 851, 367, 258, 929
• GCD of 433, 405, 651, 889
• GCD of 698, 425, 588, 852

Given numbers are 752, 674, 755, 198
The greatest common divisor of numbers 752, 674, 755, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 674, 755, 198 is 1.

1. What is the GCD of 752, 674, 755, 198?

GCD of given numbers 752, 674, 755, 198 is 1

2. How to calculate the greatest common divisor of 752, 674, 755, 198?

We can find the highest common divisor of 752, 674, 755, 198 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, 674, 755, 198 i.e 1.

3. How can I use the GCD of 752, 674, 755, 198Calculator?

Out the numbers 752, 674, 755, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.