GCD of 420, 336, 686, 220 Calculator

Given Input numbers are 420, 336, 686, 220

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 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

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

GCD of numbers is the greatest common divisor

So, the GCD (420, 336, 686, 220) = 2.

Given numbers are 420, 336, 686, 220

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 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 686 are 2 x 7 x 7 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 420, 336, 686, 220 is 2.

Given numbers are 420, 336, 686, 220

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

Apply this formula for all numbers.

Step1:

LCM(420, 336) = 1680

GCD(420, 336) = ( 420 x 336 ) / 1680

= 420 / 336

= 420

Step2:

LCM(84, 686) = 4116

GCD(84, 686) = ( 84 x 686 ) / 4116

= 84 / 686

= 84

Step3:

LCM(14, 220) = 1540

GCD(14, 220) = ( 14 x 220 ) / 1540

= 14 / 220

= 14

So, Greatest Common Divisor of 420, 336, 686, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 153, 614, 753
• GCD of 134, 147, 773, 771
• GCD of 878, 210, 623, 537
• GCD of 284, 992, 659, 644
• GCD of 303, 904, 367, 113

Given numbers are 420, 336, 686, 220
The greatest common divisor of numbers 420, 336, 686, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 336, 686, 220 is 2.

1. What is the GCD of 420, 336, 686, 220?

GCD of given numbers 420, 336, 686, 220 is 2

2. How to calculate the greatest common divisor of 420, 336, 686, 220?

We can find the highest common divisor of 420, 336, 686, 220 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, 336, 686, 220 i.e 2.

3. How can I use the GCD of 420, 336, 686, 220Calculator?

Out the numbers 420, 336, 686, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.