GCD of 354, 213, 783, 364 Calculator

Given Input numbers are 354, 213, 783, 364

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 783 :

The positive integer divisors of 783 that completely divides 783 are.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (354, 213, 783, 364) = 1.

Given numbers are 354, 213, 783, 364

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 213 are 3 x 71

Prime factors of 783 are 3 x 3 x 3 x 29

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 354, 213, 783, 364

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

Apply this formula for all numbers.

Step1:

LCM(354, 213) = 25134

GCD(354, 213) = ( 354 x 213 ) / 25134

= 354 / 213

= 354

Step2:

LCM(3, 783) = 783

GCD(3, 783) = ( 3 x 783 ) / 783

= 3 / 783

= 3

Step3:

LCM(3, 364) = 1092

GCD(3, 364) = ( 3 x 364 ) / 1092

= 3 / 364

= 3

So, Greatest Common Divisor of 354, 213, 783, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 741, 202, 995
• GCD of 288, 230, 828, 240
• GCD of 902, 848, 826, 769
• GCD of 968, 429, 914, 199
• GCD of 402, 840, 954, 144

Given numbers are 354, 213, 783, 364
The greatest common divisor of numbers 354, 213, 783, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 213, 783, 364 is 1.

1. What is the GCD of 354, 213, 783, 364?

GCD of given numbers 354, 213, 783, 364 is 1

2. How to calculate the greatest common divisor of 354, 213, 783, 364?

We can find the highest common divisor of 354, 213, 783, 364 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, 213, 783, 364 i.e 1.

3. How can I use the GCD of 354, 213, 783, 364Calculator?

Out the numbers 354, 213, 783, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.