GCD of 460, 220, 716, 426 Calculator

Given Input numbers are 460, 220, 716, 426

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

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 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 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

GCD of numbers is the greatest common divisor

So, the GCD (460, 220, 716, 426) = 2.

Given numbers are 460, 220, 716, 426

The list of prime factors of all numbers are

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

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

Prime factors of 716 are 2 x 2 x 179

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 460, 220, 716, 426 is 2.

Given numbers are 460, 220, 716, 426

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

Apply this formula for all numbers.

Step1:

LCM(460, 220) = 5060

GCD(460, 220) = ( 460 x 220 ) / 5060

= 460 / 220

= 460

Step2:

LCM(20, 716) = 3580

GCD(20, 716) = ( 20 x 716 ) / 3580

= 20 / 716

= 20

Step3:

LCM(4, 426) = 852

GCD(4, 426) = ( 4 x 426 ) / 852

= 4 / 426

= 4

So, Greatest Common Divisor of 460, 220, 716, 426 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 779, 710, 215
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• GCD of 875, 288, 223, 200
• GCD of 920, 283, 660, 907
• GCD of 726, 770, 959, 439

Given numbers are 460, 220, 716, 426
The greatest common divisor of numbers 460, 220, 716, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 220, 716, 426 is 2.

1. What is the GCD of 460, 220, 716, 426?

GCD of given numbers 460, 220, 716, 426 is 2

2. How to calculate the greatest common divisor of 460, 220, 716, 426?

We can find the highest common divisor of 460, 220, 716, 426 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 460, 220, 716, 426 i.e 2.

3. How can I use the GCD of 460, 220, 716, 426Calculator?

Out the numbers 460, 220, 716, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.