GCD of 132, 254, 175, 692 Calculator

Given Input numbers are 132, 254, 175, 692

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (132, 254, 175, 692) = 1.

Given numbers are 132, 254, 175, 692

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 254 are 2 x 127

Prime factors of 175 are 5 x 5 x 7

Prime factors of 692 are 2 x 2 x 173

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

Given numbers are 132, 254, 175, 692

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

Apply this formula for all numbers.

Step1:

LCM(132, 254) = 16764

GCD(132, 254) = ( 132 x 254 ) / 16764

= 132 / 254

= 132

Step2:

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

= 2 / 175

= 2

Step3:

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

= 1 / 692

= 1

So, Greatest Common Divisor of 132, 254, 175, 692 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 119, 831, 356
• GCD of 689, 417, 907, 200
• GCD of 376, 284, 664, 902
• GCD of 833, 776, 577, 149
• GCD of 923, 170, 299, 323

Given numbers are 132, 254, 175, 692
The greatest common divisor of numbers 132, 254, 175, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 254, 175, 692 is 1.

1. What is the GCD of 132, 254, 175, 692?

GCD of given numbers 132, 254, 175, 692 is 1

2. How to calculate the greatest common divisor of 132, 254, 175, 692?

We can find the highest common divisor of 132, 254, 175, 692 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 132, 254, 175, 692 i.e 1.

3. How can I use the GCD of 132, 254, 175, 692Calculator?

Out the numbers 132, 254, 175, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.