GCD of 420, 374, 110, 736 Calculator

Given Input numbers are 420, 374, 110, 736

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 374 :

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

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

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

GCD of numbers is the greatest common divisor

So, the GCD (420, 374, 110, 736) = 2.

Given numbers are 420, 374, 110, 736

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 374 are 2 x 11 x 17

Prime factors of 110 are 2 x 5 x 11

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

The highest common occurrence is 2¹

Therefore, GCD of 420, 374, 110, 736 is 2.

Given numbers are 420, 374, 110, 736

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

Apply this formula for all numbers.

Step1:

LCM(420, 374) = 78540

GCD(420, 374) = ( 420 x 374 ) / 78540

= 420 / 374

= 420

Step2:

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

= 2 / 110

= 2

Step3:

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

= 2 / 736

= 2

So, Greatest Common Divisor of 420, 374, 110, 736 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 446, 397, 804
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Given numbers are 420, 374, 110, 736
The greatest common divisor of numbers 420, 374, 110, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 374, 110, 736 is 2.

1. What is the GCD of 420, 374, 110, 736?

GCD of given numbers 420, 374, 110, 736 is 2

2. How to calculate the greatest common divisor of 420, 374, 110, 736?

We can find the highest common divisor of 420, 374, 110, 736 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, 374, 110, 736 i.e 2.

3. How can I use the GCD of 420, 374, 110, 736Calculator?

Out the numbers 420, 374, 110, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.