GCD of 480, 836, 682, 698 Calculator

Given Input numbers are 480, 836, 682, 698

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (480, 836, 682, 698) = 2.

Given numbers are 480, 836, 682, 698

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 682 are 2 x 11 x 31

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 480, 836, 682, 698 is 2.

Given numbers are 480, 836, 682, 698

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

Apply this formula for all numbers.

Step1:

LCM(480, 836) = 100320

GCD(480, 836) = ( 480 x 836 ) / 100320

= 480 / 836

= 480

Step2:

LCM(4, 682) = 1364

GCD(4, 682) = ( 4 x 682 ) / 1364

= 4 / 682

= 4

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 480, 836, 682, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 355, 438, 722
• GCD of 636, 215, 463, 667
• GCD of 931, 995, 655, 571
• GCD of 302, 303, 708, 336
• GCD of 316, 226, 985, 966

Given numbers are 480, 836, 682, 698
The greatest common divisor of numbers 480, 836, 682, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 836, 682, 698 is 2.

1. What is the GCD of 480, 836, 682, 698?

GCD of given numbers 480, 836, 682, 698 is 2

2. How to calculate the greatest common divisor of 480, 836, 682, 698?

We can find the highest common divisor of 480, 836, 682, 698 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 480, 836, 682, 698 i.e 2.

3. How can I use the GCD of 480, 836, 682, 698Calculator?

Out the numbers 480, 836, 682, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.