GCD of 220, 814, 154, 720 Calculator

Given Input numbers are 220, 814, 154, 720

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

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 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (220, 814, 154, 720) = 2.

Given numbers are 220, 814, 154, 720

The list of prime factors of all numbers are

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

Prime factors of 814 are 2 x 11 x 37

Prime factors of 154 are 2 x 7 x 11

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 220, 814, 154, 720 is 2.

Given numbers are 220, 814, 154, 720

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

Apply this formula for all numbers.

Step1:

LCM(220, 814) = 8140

GCD(220, 814) = ( 220 x 814 ) / 8140

= 220 / 814

= 220

Step2:

LCM(22, 154) = 154

GCD(22, 154) = ( 22 x 154 ) / 154

= 22 / 154

= 22

Step3:

LCM(22, 720) = 7920

GCD(22, 720) = ( 22 x 720 ) / 7920

= 22 / 720

= 22

So, Greatest Common Divisor of 220, 814, 154, 720 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 742, 901, 260
• GCD of 871, 332, 983, 212
• GCD of 451, 143, 801, 578
• GCD of 511, 861, 168, 762
• GCD of 429, 579, 975, 828

Given numbers are 220, 814, 154, 720
The greatest common divisor of numbers 220, 814, 154, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 814, 154, 720 is 2.

1. What is the GCD of 220, 814, 154, 720?

GCD of given numbers 220, 814, 154, 720 is 2

2. How to calculate the greatest common divisor of 220, 814, 154, 720?

We can find the highest common divisor of 220, 814, 154, 720 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 220, 814, 154, 720 i.e 2.

3. How can I use the GCD of 220, 814, 154, 720Calculator?

Out the numbers 220, 814, 154, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.