GCD of 268, 490, 600, 814 Calculator

Given Input numbers are 268, 490, 600, 814

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 814 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (268, 490, 600, 814) = 2.

Given numbers are 268, 490, 600, 814

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 268, 490, 600, 814 is 2.

Given numbers are 268, 490, 600, 814

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

Apply this formula for all numbers.

Step1:

LCM(268, 490) = 65660

GCD(268, 490) = ( 268 x 490 ) / 65660

= 268 / 490

= 268

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

So, Greatest Common Divisor of 268, 490, 600, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 964, 401, 690
• GCD of 201, 409, 671, 687
• GCD of 847, 715, 634, 654
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• GCD of 577, 959, 196, 621

Given numbers are 268, 490, 600, 814
The greatest common divisor of numbers 268, 490, 600, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 490, 600, 814 is 2.

1. What is the GCD of 268, 490, 600, 814?

GCD of given numbers 268, 490, 600, 814 is 2

2. How to calculate the greatest common divisor of 268, 490, 600, 814?

We can find the highest common divisor of 268, 490, 600, 814 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 268, 490, 600, 814 i.e 2.

3. How can I use the GCD of 268, 490, 600, 814Calculator?

Out the numbers 268, 490, 600, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.