GCD of 374, 414, 220, 420 Calculator

Given Input numbers are 374, 414, 220, 420

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 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

GCD of numbers is the greatest common divisor

So, the GCD (374, 414, 220, 420) = 2.

Given numbers are 374, 414, 220, 420

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 414 are 2 x 3 x 3 x 23

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

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

The highest common occurrence is 2¹

Therefore, GCD of 374, 414, 220, 420 is 2.

Given numbers are 374, 414, 220, 420

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

Apply this formula for all numbers.

Step1:

LCM(374, 414) = 77418

GCD(374, 414) = ( 374 x 414 ) / 77418

= 374 / 414

= 374

Step2:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 374, 414, 220, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 149, 973, 853
• GCD of 901, 407, 191, 378
• GCD of 376, 257, 939, 295
• GCD of 578, 115, 342, 718
• GCD of 459, 202, 836, 407

Given numbers are 374, 414, 220, 420
The greatest common divisor of numbers 374, 414, 220, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 414, 220, 420 is 2.

1. What is the GCD of 374, 414, 220, 420?

GCD of given numbers 374, 414, 220, 420 is 2

2. How to calculate the greatest common divisor of 374, 414, 220, 420?

We can find the highest common divisor of 374, 414, 220, 420 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 374, 414, 220, 420 i.e 2.

3. How can I use the GCD of 374, 414, 220, 420Calculator?

Out the numbers 374, 414, 220, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.