GCD of 654, 354, 752, 558 Calculator

Given Input numbers are 654, 354, 752, 558

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

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (654, 354, 752, 558) = 2.

Given numbers are 654, 354, 752, 558

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 354 are 2 x 3 x 59

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 654, 354, 752, 558 is 2.

Given numbers are 654, 354, 752, 558

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

Apply this formula for all numbers.

Step1:

LCM(654, 354) = 38586

GCD(654, 354) = ( 654 x 354 ) / 38586

= 654 / 354

= 654

Step2:

LCM(6, 752) = 2256

GCD(6, 752) = ( 6 x 752 ) / 2256

= 6 / 752

= 6

Step3:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

So, Greatest Common Divisor of 654, 354, 752, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 942, 548, 292
• GCD of 632, 952, 299, 279
• GCD of 923, 492, 421, 107
• GCD of 286, 959, 643, 104
• GCD of 590, 512, 961, 737

Given numbers are 654, 354, 752, 558
The greatest common divisor of numbers 654, 354, 752, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 354, 752, 558 is 2.

1. What is the GCD of 654, 354, 752, 558?

GCD of given numbers 654, 354, 752, 558 is 2

2. How to calculate the greatest common divisor of 654, 354, 752, 558?

We can find the highest common divisor of 654, 354, 752, 558 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 654, 354, 752, 558 i.e 2.

3. How can I use the GCD of 654, 354, 752, 558Calculator?

Out the numbers 654, 354, 752, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.