GCD of 783, 225, 654, 354 Calculator

Given Input numbers are 783, 225, 654, 354

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

Divisors of 783 :

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

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 354 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (783, 225, 654, 354) = 3.

Given numbers are 783, 225, 654, 354

The list of prime factors of all numbers are

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

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 654 are 2 x 3 x 109

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 783, 225, 654, 354 is 3.

Given numbers are 783, 225, 654, 354

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

Apply this formula for all numbers.

Step1:

LCM(783, 225) = 19575

GCD(783, 225) = ( 783 x 225 ) / 19575

= 783 / 225

= 783

Step2:

LCM(9, 654) = 1962

GCD(9, 654) = ( 9 x 654 ) / 1962

= 9 / 654

= 9

Step3:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

So, Greatest Common Divisor of 783, 225, 654, 354 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 426, 715, 474
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Given numbers are 783, 225, 654, 354
The greatest common divisor of numbers 783, 225, 654, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 783, 225, 654, 354 is 3.

1. What is the GCD of 783, 225, 654, 354?

GCD of given numbers 783, 225, 654, 354 is 3

2. How to calculate the greatest common divisor of 783, 225, 654, 354?

We can find the highest common divisor of 783, 225, 654, 354 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 783, 225, 654, 354 i.e 3.

3. How can I use the GCD of 783, 225, 654, 354Calculator?

Out the numbers 783, 225, 654, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.