GCD of 135, 620, 972, 174 Calculator

Given Input numbers are 135, 620, 972, 174

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (135, 620, 972, 174) = 1.

Given numbers are 135, 620, 972, 174

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 174 are 2 x 3 x 29

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

Given numbers are 135, 620, 972, 174

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

Apply this formula for all numbers.

Step1:

LCM(135, 620) = 16740

GCD(135, 620) = ( 135 x 620 ) / 16740

= 135 / 620

= 135

Step2:

LCM(5, 972) = 4860

GCD(5, 972) = ( 5 x 972 ) / 4860

= 5 / 972

= 5

Step3:

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

= 1 / 174

= 1

So, Greatest Common Divisor of 135, 620, 972, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 422, 935, 830
• GCD of 541, 208, 343, 170
• GCD of 283, 251, 455, 238
• GCD of 998, 340, 510, 407
• GCD of 499, 875, 283, 986

Given numbers are 135, 620, 972, 174
The greatest common divisor of numbers 135, 620, 972, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 620, 972, 174 is 1.

1. What is the GCD of 135, 620, 972, 174?

GCD of given numbers 135, 620, 972, 174 is 1

2. How to calculate the greatest common divisor of 135, 620, 972, 174?

We can find the highest common divisor of 135, 620, 972, 174 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 135, 620, 972, 174 i.e 1.

3. How can I use the GCD of 135, 620, 972, 174Calculator?

Out the numbers 135, 620, 972, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.