GCD of 356, 920, 314, 178 Calculator

Given Input numbers are 356, 920, 314, 178

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

Divisors of 356 :

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

1, 2, 4, 89, 178, 356

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (356, 920, 314, 178) = 2.

Given numbers are 356, 920, 314, 178

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 314 are 2 x 157

Prime factors of 178 are 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 356, 920, 314, 178 is 2.

Given numbers are 356, 920, 314, 178

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

Apply this formula for all numbers.

Step1:

LCM(356, 920) = 81880

GCD(356, 920) = ( 356 x 920 ) / 81880

= 356 / 920

= 356

Step2:

LCM(4, 314) = 628

GCD(4, 314) = ( 4 x 314 ) / 628

= 4 / 314

= 4

Step3:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2

So, Greatest Common Divisor of 356, 920, 314, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 521, 706, 822
• GCD of 402, 640, 775, 713
• GCD of 559, 121, 882, 378
• GCD of 101, 497, 656, 297
• GCD of 888, 783, 597, 132

Given numbers are 356, 920, 314, 178
The greatest common divisor of numbers 356, 920, 314, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 920, 314, 178 is 2.

1. What is the GCD of 356, 920, 314, 178?

GCD of given numbers 356, 920, 314, 178 is 2

2. How to calculate the greatest common divisor of 356, 920, 314, 178?

We can find the highest common divisor of 356, 920, 314, 178 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 356, 920, 314, 178 i.e 2.

3. How can I use the GCD of 356, 920, 314, 178Calculator?

Out the numbers 356, 920, 314, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.