GCD of 496, 356, 954, 358 Calculator

Given Input numbers are 496, 356, 954, 358

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

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 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (496, 356, 954, 358) = 2.

Given numbers are 496, 356, 954, 358

The list of prime factors of all numbers are

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

Prime factors of 356 are 2 x 2 x 89

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 496, 356, 954, 358 is 2.

Given numbers are 496, 356, 954, 358

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

Apply this formula for all numbers.

Step1:

LCM(496, 356) = 44144

GCD(496, 356) = ( 496 x 356 ) / 44144

= 496 / 356

= 496

Step2:

LCM(4, 954) = 1908

GCD(4, 954) = ( 4 x 954 ) / 1908

= 4 / 954

= 4

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 496, 356, 954, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 547, 651, 252
• GCD of 401, 287, 533, 695
• GCD of 249, 207, 546, 360
• GCD of 364, 996, 935, 147
• GCD of 248, 528, 504, 938

Given numbers are 496, 356, 954, 358
The greatest common divisor of numbers 496, 356, 954, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 356, 954, 358 is 2.

1. What is the GCD of 496, 356, 954, 358?

GCD of given numbers 496, 356, 954, 358 is 2

2. How to calculate the greatest common divisor of 496, 356, 954, 358?

We can find the highest common divisor of 496, 356, 954, 358 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 496, 356, 954, 358 i.e 2.

3. How can I use the GCD of 496, 356, 954, 358Calculator?

Out the numbers 496, 356, 954, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.