GCD of 420, 310, 362, 176 Calculator

Given Input numbers are 420, 310, 362, 176

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

GCD of numbers is the greatest common divisor

So, the GCD (420, 310, 362, 176) = 2.

Given numbers are 420, 310, 362, 176

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 310 are 2 x 5 x 31

Prime factors of 362 are 2 x 181

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 420, 310, 362, 176 is 2.

Given numbers are 420, 310, 362, 176

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

Apply this formula for all numbers.

Step1:

LCM(420, 310) = 13020

GCD(420, 310) = ( 420 x 310 ) / 13020

= 420 / 310

= 420

Step2:

LCM(10, 362) = 1810

GCD(10, 362) = ( 10 x 362 ) / 1810

= 10 / 362

= 10

Step3:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2

So, Greatest Common Divisor of 420, 310, 362, 176 is 2

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• GCD of 157, 883, 874, 389
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Given numbers are 420, 310, 362, 176
The greatest common divisor of numbers 420, 310, 362, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 310, 362, 176 is 2.

1. What is the GCD of 420, 310, 362, 176?

GCD of given numbers 420, 310, 362, 176 is 2

2. How to calculate the greatest common divisor of 420, 310, 362, 176?

We can find the highest common divisor of 420, 310, 362, 176 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 420, 310, 362, 176 i.e 2.

3. How can I use the GCD of 420, 310, 362, 176Calculator?

Out the numbers 420, 310, 362, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.