GCD of 180, 748, 675, 705 Calculator

Given Input numbers are 180, 748, 675, 705

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (180, 748, 675, 705) = 1.

Given numbers are 180, 748, 675, 705

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 180, 748, 675, 705

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

Apply this formula for all numbers.

Step1:

LCM(180, 748) = 33660

GCD(180, 748) = ( 180 x 748 ) / 33660

= 180 / 748

= 180

Step2:

LCM(4, 675) = 2700

GCD(4, 675) = ( 4 x 675 ) / 2700

= 4 / 675

= 4

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 180, 748, 675, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 940, 982, 332
• GCD of 437, 163, 704, 827
• GCD of 502, 486, 144, 913
• GCD of 211, 579, 596, 584
• GCD of 518, 557, 695, 761

Given numbers are 180, 748, 675, 705
The greatest common divisor of numbers 180, 748, 675, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 748, 675, 705 is 1.

1. What is the GCD of 180, 748, 675, 705?

GCD of given numbers 180, 748, 675, 705 is 1

2. How to calculate the greatest common divisor of 180, 748, 675, 705?

We can find the highest common divisor of 180, 748, 675, 705 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 180, 748, 675, 705 i.e 1.

3. How can I use the GCD of 180, 748, 675, 705Calculator?

Out the numbers 180, 748, 675, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.