GCD of 490, 632, 610, 822 Calculator

Given Input numbers are 490, 632, 610, 822

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

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 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (490, 632, 610, 822) = 2.

Given numbers are 490, 632, 610, 822

The list of prime factors of all numbers are

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

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 610 are 2 x 5 x 61

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 490, 632, 610, 822 is 2.

Given numbers are 490, 632, 610, 822

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

Apply this formula for all numbers.

Step1:

LCM(490, 632) = 154840

GCD(490, 632) = ( 490 x 632 ) / 154840

= 490 / 632

= 490

Step2:

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

= 2 / 610

= 2

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 490, 632, 610, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 748, 841, 902
• GCD of 334, 393, 131, 930
• GCD of 969, 121, 461, 182
• GCD of 333, 670, 734, 109
• GCD of 458, 368, 333, 759

Given numbers are 490, 632, 610, 822
The greatest common divisor of numbers 490, 632, 610, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 632, 610, 822 is 2.

1. What is the GCD of 490, 632, 610, 822?

GCD of given numbers 490, 632, 610, 822 is 2

2. How to calculate the greatest common divisor of 490, 632, 610, 822?

We can find the highest common divisor of 490, 632, 610, 822 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 490, 632, 610, 822 i.e 2.

3. How can I use the GCD of 490, 632, 610, 822Calculator?

Out the numbers 490, 632, 610, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.