GCD of 749, 195, 540, 676 Calculator

Given Input numbers are 749, 195, 540, 676

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 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (749, 195, 540, 676) = 1.

Given numbers are 749, 195, 540, 676

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 195 are 3 x 5 x 13

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 676 are 2 x 2 x 13 x 13

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

Given numbers are 749, 195, 540, 676

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

Apply this formula for all numbers.

Step1:

LCM(749, 195) = 146055

GCD(749, 195) = ( 749 x 195 ) / 146055

= 749 / 195

= 749

Step2:

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

= 1 / 540

= 1

Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

So, Greatest Common Divisor of 749, 195, 540, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 226, 917, 868
• GCD of 956, 811, 150, 167
• GCD of 853, 138, 358, 225
• GCD of 103, 467, 222, 538
• GCD of 524, 378, 894, 449

Given numbers are 749, 195, 540, 676
The greatest common divisor of numbers 749, 195, 540, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 195, 540, 676 is 1.

1. What is the GCD of 749, 195, 540, 676?

GCD of given numbers 749, 195, 540, 676 is 1

2. How to calculate the greatest common divisor of 749, 195, 540, 676?

We can find the highest common divisor of 749, 195, 540, 676 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, 195, 540, 676 i.e 1.

3. How can I use the GCD of 749, 195, 540, 676Calculator?

Out the numbers 749, 195, 540, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.