GCD of 340, 990, 310, 624 Calculator

Given Input numbers are 340, 990, 310, 624

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (340, 990, 310, 624) = 2.

Given numbers are 340, 990, 310, 624

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 310 are 2 x 5 x 31

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 340, 990, 310, 624 is 2.

Given numbers are 340, 990, 310, 624

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

Apply this formula for all numbers.

Step1:

LCM(340, 990) = 33660

GCD(340, 990) = ( 340 x 990 ) / 33660

= 340 / 990

= 340

Step2:

LCM(10, 310) = 310

GCD(10, 310) = ( 10 x 310 ) / 310

= 10 / 310

= 10

Step3:

LCM(10, 624) = 3120

GCD(10, 624) = ( 10 x 624 ) / 3120

= 10 / 624

= 10

So, Greatest Common Divisor of 340, 990, 310, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 104, 989, 318
• GCD of 205, 550, 145, 316
• GCD of 163, 816, 224, 645
• GCD of 336, 255, 408, 330
• GCD of 353, 303, 588, 141

Given numbers are 340, 990, 310, 624
The greatest common divisor of numbers 340, 990, 310, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 990, 310, 624 is 2.

1. What is the GCD of 340, 990, 310, 624?

GCD of given numbers 340, 990, 310, 624 is 2

2. How to calculate the greatest common divisor of 340, 990, 310, 624?

We can find the highest common divisor of 340, 990, 310, 624 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 340, 990, 310, 624 i.e 2.

3. How can I use the GCD of 340, 990, 310, 624Calculator?

Out the numbers 340, 990, 310, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.