GCD of 354, 369, 352, 546 Calculator

Given Input numbers are 354, 369, 352, 546

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

GCD of numbers is the greatest common divisor

So, the GCD (354, 369, 352, 546) = 1.

Given numbers are 354, 369, 352, 546

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 369 are 3 x 3 x 41

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 546 are 2 x 3 x 7 x 13

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

Given numbers are 354, 369, 352, 546

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

Apply this formula for all numbers.

Step1:

LCM(354, 369) = 43542

GCD(354, 369) = ( 354 x 369 ) / 43542

= 354 / 369

= 354

Step2:

LCM(3, 352) = 1056

GCD(3, 352) = ( 3 x 352 ) / 1056

= 3 / 352

= 3

Step3:

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

= 1 / 546

= 1

So, Greatest Common Divisor of 354, 369, 352, 546 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 928, 816, 909
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• GCD of 877, 742, 520, 734
• GCD of 390, 264, 639, 248
• GCD of 814, 984, 382, 141

Given numbers are 354, 369, 352, 546
The greatest common divisor of numbers 354, 369, 352, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 369, 352, 546 is 1.

1. What is the GCD of 354, 369, 352, 546?

GCD of given numbers 354, 369, 352, 546 is 1

2. How to calculate the greatest common divisor of 354, 369, 352, 546?

We can find the highest common divisor of 354, 369, 352, 546 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, 369, 352, 546 i.e 1.

3. How can I use the GCD of 354, 369, 352, 546Calculator?

Out the numbers 354, 369, 352, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.