GCD of 189, 535, 745, 705 Calculator

Given Input numbers are 189, 535, 745, 705

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

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 (189, 535, 745, 705) = 1.

Given numbers are 189, 535, 745, 705

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 535 are 5 x 107

Prime factors of 745 are 5 x 149

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 189, 535, 745, 705

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

Apply this formula for all numbers.

Step1:

LCM(189, 535) = 101115

GCD(189, 535) = ( 189 x 535 ) / 101115

= 189 / 535

= 189

Step2:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

Step3:

LCM(1, 705) = 705

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

= 1 / 705

= 1

So, Greatest Common Divisor of 189, 535, 745, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 154, 102, 842
• GCD of 121, 480, 548, 612
• GCD of 141, 633, 983, 600
• GCD of 447, 443, 460, 624
• GCD of 401, 465, 130, 402

Given numbers are 189, 535, 745, 705
The greatest common divisor of numbers 189, 535, 745, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 535, 745, 705 is 1.

1. What is the GCD of 189, 535, 745, 705?

GCD of given numbers 189, 535, 745, 705 is 1

2. How to calculate the greatest common divisor of 189, 535, 745, 705?

We can find the highest common divisor of 189, 535, 745, 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 189, 535, 745, 705 i.e 1.

3. How can I use the GCD of 189, 535, 745, 705Calculator?

Out the numbers 189, 535, 745, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.