GCD of 174, 148, 264, 693 Calculator

Given Input numbers are 174, 148, 264, 693

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

Divisors of 174 :

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

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

GCD of numbers is the greatest common divisor

So, the GCD (174, 148, 264, 693) = 1.

Given numbers are 174, 148, 264, 693

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 148 are 2 x 2 x 37

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 693 are 3 x 3 x 7 x 11

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

Given numbers are 174, 148, 264, 693

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

Apply this formula for all numbers.

Step1:

LCM(174, 148) = 12876

GCD(174, 148) = ( 174 x 148 ) / 12876

= 174 / 148

= 174

Step2:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2

Step3:

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

= 2 / 693

= 2

So, Greatest Common Divisor of 174, 148, 264, 693 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 257, 940, 173
• GCD of 375, 427, 694, 220
• GCD of 345, 425, 857, 432
• GCD of 923, 368, 689, 985
• GCD of 238, 569, 346, 337

Given numbers are 174, 148, 264, 693
The greatest common divisor of numbers 174, 148, 264, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 148, 264, 693 is 1.

1. What is the GCD of 174, 148, 264, 693?

GCD of given numbers 174, 148, 264, 693 is 1

2. How to calculate the greatest common divisor of 174, 148, 264, 693?

We can find the highest common divisor of 174, 148, 264, 693 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 174, 148, 264, 693 i.e 1.

3. How can I use the GCD of 174, 148, 264, 693Calculator?

Out the numbers 174, 148, 264, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.