GCD of 354, 660, 496, 656 Calculator

Given Input numbers are 354, 660, 496, 656

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

GCD of numbers is the greatest common divisor

So, the GCD (354, 660, 496, 656) = 2.

Given numbers are 354, 660, 496, 656

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 354, 660, 496, 656 is 2.

Given numbers are 354, 660, 496, 656

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

Apply this formula for all numbers.

Step1:

LCM(354, 660) = 38940

GCD(354, 660) = ( 354 x 660 ) / 38940

= 354 / 660

= 354

Step2:

LCM(6, 496) = 1488

GCD(6, 496) = ( 6 x 496 ) / 1488

= 6 / 496

= 6

Step3:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2

So, Greatest Common Divisor of 354, 660, 496, 656 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 361, 718, 889
• GCD of 946, 502, 726, 132
• GCD of 366, 587, 157, 748
• GCD of 181, 524, 488, 808
• GCD of 401, 323, 453, 594

Given numbers are 354, 660, 496, 656
The greatest common divisor of numbers 354, 660, 496, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 660, 496, 656 is 2.

1. What is the GCD of 354, 660, 496, 656?

GCD of given numbers 354, 660, 496, 656 is 2

2. How to calculate the greatest common divisor of 354, 660, 496, 656?

We can find the highest common divisor of 354, 660, 496, 656 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, 660, 496, 656 i.e 2.

3. How can I use the GCD of 354, 660, 496, 656Calculator?

Out the numbers 354, 660, 496, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.