GCD of 354, 196, 896, 356 Calculator

Given Input numbers are 354, 196, 896, 356

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 356 :

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

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (354, 196, 896, 356) = 2.

Given numbers are 354, 196, 896, 356

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 356 are 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 354, 196, 896, 356 is 2.

Given numbers are 354, 196, 896, 356

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

Apply this formula for all numbers.

Step1:

LCM(354, 196) = 34692

GCD(354, 196) = ( 354 x 196 ) / 34692

= 354 / 196

= 354

Step2:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

Step3:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2

So, Greatest Common Divisor of 354, 196, 896, 356 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 738, 682, 724
• GCD of 723, 756, 911, 357
• GCD of 386, 208, 907, 976
• GCD of 361, 604, 732, 444
• GCD of 111, 408, 704, 598

Given numbers are 354, 196, 896, 356
The greatest common divisor of numbers 354, 196, 896, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 196, 896, 356 is 2.

1. What is the GCD of 354, 196, 896, 356?

GCD of given numbers 354, 196, 896, 356 is 2

2. How to calculate the greatest common divisor of 354, 196, 896, 356?

We can find the highest common divisor of 354, 196, 896, 356 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, 196, 896, 356 i.e 2.

3. How can I use the GCD of 354, 196, 896, 356Calculator?

Out the numbers 354, 196, 896, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.