GCD of 490, 464, 994, 612 Calculator

Given Input numbers are 490, 464, 994, 612

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

GCD of numbers is the greatest common divisor

So, the GCD (490, 464, 994, 612) = 2.

Given numbers are 490, 464, 994, 612

The list of prime factors of all numbers are

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

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 994 are 2 x 7 x 71

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 490, 464, 994, 612 is 2.

Given numbers are 490, 464, 994, 612

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

Apply this formula for all numbers.

Step1:

LCM(490, 464) = 113680

GCD(490, 464) = ( 490 x 464 ) / 113680

= 490 / 464

= 490

Step2:

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

= 2 / 994

= 2

Step3:

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

= 2 / 612

= 2

So, Greatest Common Divisor of 490, 464, 994, 612 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 838, 384, 948
• GCD of 739, 984, 453, 109
• GCD of 416, 306, 510, 532
• GCD of 839, 489, 507, 201
• GCD of 229, 575, 600, 154

Given numbers are 490, 464, 994, 612
The greatest common divisor of numbers 490, 464, 994, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 464, 994, 612 is 2.

1. What is the GCD of 490, 464, 994, 612?

GCD of given numbers 490, 464, 994, 612 is 2

2. How to calculate the greatest common divisor of 490, 464, 994, 612?

We can find the highest common divisor of 490, 464, 994, 612 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, 464, 994, 612 i.e 2.

3. How can I use the GCD of 490, 464, 994, 612Calculator?

Out the numbers 490, 464, 994, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.