GCD of 142, 220, 400 Calculator

Given Input numbers are 142, 220, 400

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

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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

GCD of numbers is the greatest common divisor

So, the GCD (142, 220, 400) = 2.

Given numbers are 142, 220, 400

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 220 are 2 x 2 x 5 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 142, 220, 400 is 2.

Given numbers are 142, 220, 400

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

Apply this formula for all numbers.

Step1:

LCM(142, 220) = 15620

GCD(142, 220) = ( 142 x 220 ) / 15620

= 142 / 220

= 142

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 142, 220, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 658, 459
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• GCD of 936, 698, 974
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Given numbers are 142, 220, 400
The greatest common divisor of numbers 142, 220, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 220, 400 is 2.

1. What is the GCD of 142, 220, 400?

GCD of given numbers 142, 220, 400 is 2

2. How to calculate the greatest common divisor of 142, 220, 400?

We can find the highest common divisor of 142, 220, 400 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 142, 220, 400 i.e 2.

3. How can I use the GCD of 142, 220, 400Calculator?

Out the numbers 142, 220, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.