GCD of 400, 238, 292, 166 Calculator

Given Input numbers are 400, 238, 292, 166

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

GCD of numbers is the greatest common divisor

So, the GCD (400, 238, 292, 166) = 2.

Given numbers are 400, 238, 292, 166

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 238 are 2 x 7 x 17

Prime factors of 292 are 2 x 2 x 73

Prime factors of 166 are 2 x 83

The highest common occurrence is 2¹

Therefore, GCD of 400, 238, 292, 166 is 2.

Given numbers are 400, 238, 292, 166

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

Apply this formula for all numbers.

Step1:

LCM(400, 238) = 47600

GCD(400, 238) = ( 400 x 238 ) / 47600

= 400 / 238

= 400

Step2:

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

= 2 / 292

= 2

Step3:

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

= 2 / 166

= 2

So, Greatest Common Divisor of 400, 238, 292, 166 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 860, 882, 844, 191
• GCD of 748, 867, 817, 332
• GCD of 912, 897, 449, 117
• GCD of 893, 766, 807, 417
• GCD of 498, 559, 291, 127

Given numbers are 400, 238, 292, 166
The greatest common divisor of numbers 400, 238, 292, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 238, 292, 166 is 2.

1. What is the GCD of 400, 238, 292, 166?

GCD of given numbers 400, 238, 292, 166 is 2

2. How to calculate the greatest common divisor of 400, 238, 292, 166?

We can find the highest common divisor of 400, 238, 292, 166 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 400, 238, 292, 166 i.e 2.

3. How can I use the GCD of 400, 238, 292, 166Calculator?

Out the numbers 400, 238, 292, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.