GCD of 132, 254, 734, 697 Calculator

Given Input numbers are 132, 254, 734, 697

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 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

GCD of numbers is the greatest common divisor

So, the GCD (132, 254, 734, 697) = 1.

Given numbers are 132, 254, 734, 697

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 734 are 2 x 367

Prime factors of 697 are 17 x 41

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

Given numbers are 132, 254, 734, 697

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, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

= 2 / 734

= 2

Step3:

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

= 2 / 697

= 2

So, Greatest Common Divisor of 132, 254, 734, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 584, 915, 708
• GCD of 945, 732, 235, 964
• GCD of 403, 687, 459, 843
• GCD of 349, 861, 742, 469
• GCD of 542, 434, 988, 680

Given numbers are 132, 254, 734, 697
The greatest common divisor of numbers 132, 254, 734, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 254, 734, 697 is 1.

1. What is the GCD of 132, 254, 734, 697?

GCD of given numbers 132, 254, 734, 697 is 1

2. How to calculate the greatest common divisor of 132, 254, 734, 697?

We can find the highest common divisor of 132, 254, 734, 697 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, 734, 697 i.e 1.

3. How can I use the GCD of 132, 254, 734, 697Calculator?

Out the numbers 132, 254, 734, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.