GCD of 948, 378, 450, 164 Calculator

Given Input numbers are 948, 378, 450, 164

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (948, 378, 450, 164) = 2.

Given numbers are 948, 378, 450, 164

The list of prime factors of all numbers are

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 948, 378, 450, 164 is 2.

Given numbers are 948, 378, 450, 164

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

Apply this formula for all numbers.

Step1:

LCM(948, 378) = 59724

GCD(948, 378) = ( 948 x 378 ) / 59724

= 948 / 378

= 948

Step2:

LCM(6, 450) = 450

GCD(6, 450) = ( 6 x 450 ) / 450

= 6 / 450

= 6

Step3:

LCM(6, 164) = 492

GCD(6, 164) = ( 6 x 164 ) / 492

= 6 / 164

= 6

So, Greatest Common Divisor of 948, 378, 450, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 814, 758, 780
• GCD of 111, 350, 539, 748
• GCD of 819, 457, 494, 714
• GCD of 562, 432, 435, 406
• GCD of 146, 655, 537, 754

Given numbers are 948, 378, 450, 164
The greatest common divisor of numbers 948, 378, 450, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 378, 450, 164 is 2.

1. What is the GCD of 948, 378, 450, 164?

GCD of given numbers 948, 378, 450, 164 is 2

2. How to calculate the greatest common divisor of 948, 378, 450, 164?

We can find the highest common divisor of 948, 378, 450, 164 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 948, 378, 450, 164 i.e 2.

3. How can I use the GCD of 948, 378, 450, 164Calculator?

Out the numbers 948, 378, 450, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.