GCD of 350, 504, 164, 314 Calculator

Given Input numbers are 350, 504, 164, 314

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 314 :

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

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (350, 504, 164, 314) = 2.

Given numbers are 350, 504, 164, 314

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 164 are 2 x 2 x 41

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 350, 504, 164, 314 is 2.

Given numbers are 350, 504, 164, 314

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

Apply this formula for all numbers.

Step1:

LCM(350, 504) = 12600

GCD(350, 504) = ( 350 x 504 ) / 12600

= 350 / 504

= 350

Step2:

LCM(14, 164) = 1148

GCD(14, 164) = ( 14 x 164 ) / 1148

= 14 / 164

= 14

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 350, 504, 164, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 503, 566, 356
• GCD of 545, 806, 281, 294
• GCD of 188, 736, 837, 303
• GCD of 523, 327, 992, 128
• GCD of 754, 769, 396, 510

Given numbers are 350, 504, 164, 314
The greatest common divisor of numbers 350, 504, 164, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 504, 164, 314 is 2.

1. What is the GCD of 350, 504, 164, 314?

GCD of given numbers 350, 504, 164, 314 is 2

2. How to calculate the greatest common divisor of 350, 504, 164, 314?

We can find the highest common divisor of 350, 504, 164, 314 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 350, 504, 164, 314 i.e 2.

3. How can I use the GCD of 350, 504, 164, 314Calculator?

Out the numbers 350, 504, 164, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.