GCD of 354, 692, 746, 149 Calculator

Given Input numbers are 354, 692, 746, 149

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 692 :

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

1, 2, 4, 173, 346, 692

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

GCD of numbers is the greatest common divisor

So, the GCD (354, 692, 746, 149) = 1.

Given numbers are 354, 692, 746, 149

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 692 are 2 x 2 x 173

Prime factors of 746 are 2 x 373

Prime factors of 149 are 149

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

Given numbers are 354, 692, 746, 149

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

Apply this formula for all numbers.

Step1:

LCM(354, 692) = 122484

GCD(354, 692) = ( 354 x 692 ) / 122484

= 354 / 692

= 354

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

Step3:

LCM(2, 149) = 298

GCD(2, 149) = ( 2 x 149 ) / 298

= 2 / 149

= 2

So, Greatest Common Divisor of 354, 692, 746, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 687, 375, 730
• GCD of 927, 518, 162, 430
• GCD of 444, 447, 216, 548
• GCD of 121, 300, 209, 467
• GCD of 661, 335, 358, 879

Given numbers are 354, 692, 746, 149
The greatest common divisor of numbers 354, 692, 746, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 692, 746, 149 is 1.

1. What is the GCD of 354, 692, 746, 149?

GCD of given numbers 354, 692, 746, 149 is 1

2. How to calculate the greatest common divisor of 354, 692, 746, 149?

We can find the highest common divisor of 354, 692, 746, 149 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 354, 692, 746, 149 i.e 1.

3. How can I use the GCD of 354, 692, 746, 149Calculator?

Out the numbers 354, 692, 746, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.