GCD of 220, 308, 460, 902 Calculator

Given Input numbers are 220, 308, 460, 902

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 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

GCD of numbers is the greatest common divisor

So, the GCD (220, 308, 460, 902) = 2.

Given numbers are 220, 308, 460, 902

The list of prime factors of all numbers are

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

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 902 are 2 x 11 x 41

The highest common occurrence is 2¹

Therefore, GCD of 220, 308, 460, 902 is 2.

Given numbers are 220, 308, 460, 902

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

Apply this formula for all numbers.

Step1:

LCM(220, 308) = 1540

GCD(220, 308) = ( 220 x 308 ) / 1540

= 220 / 308

= 220

Step2:

LCM(44, 460) = 5060

GCD(44, 460) = ( 44 x 460 ) / 5060

= 44 / 460

= 44

Step3:

LCM(4, 902) = 1804

GCD(4, 902) = ( 4 x 902 ) / 1804

= 4 / 902

= 4

So, Greatest Common Divisor of 220, 308, 460, 902 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 498, 558, 213
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• GCD of 507, 686, 479, 672

Given numbers are 220, 308, 460, 902
The greatest common divisor of numbers 220, 308, 460, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 308, 460, 902 is 2.

1. What is the GCD of 220, 308, 460, 902?

GCD of given numbers 220, 308, 460, 902 is 2

2. How to calculate the greatest common divisor of 220, 308, 460, 902?

We can find the highest common divisor of 220, 308, 460, 902 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, 308, 460, 902 i.e 2.

3. How can I use the GCD of 220, 308, 460, 902Calculator?

Out the numbers 220, 308, 460, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.