GCD of 361, 535, 642, 174 Calculator

Given Input numbers are 361, 535, 642, 174

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 535 :

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

1, 5, 107, 535

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

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 (361, 535, 642, 174) = 1.

Given numbers are 361, 535, 642, 174

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 535 are 5 x 107

Prime factors of 642 are 2 x 3 x 107

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 361, 535, 642, 174

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

Apply this formula for all numbers.

Step1:

LCM(361, 535) = 193135

GCD(361, 535) = ( 361 x 535 ) / 193135

= 361 / 535

= 361

Step2:

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

= 1 / 642

= 1

Step3:

LCM(1, 174) = 174

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

= 1 / 174

= 1

So, Greatest Common Divisor of 361, 535, 642, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 949, 735, 317
• GCD of 732, 868, 781, 664
• GCD of 612, 916, 578, 184
• GCD of 772, 335, 976, 597
• GCD of 267, 289, 601, 983

Given numbers are 361, 535, 642, 174
The greatest common divisor of numbers 361, 535, 642, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 535, 642, 174 is 1.

1. What is the GCD of 361, 535, 642, 174?

GCD of given numbers 361, 535, 642, 174 is 1

2. How to calculate the greatest common divisor of 361, 535, 642, 174?

We can find the highest common divisor of 361, 535, 642, 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 361, 535, 642, 174 i.e 1.

3. How can I use the GCD of 361, 535, 642, 174Calculator?

Out the numbers 361, 535, 642, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.