GCD of 414, 682, 498, 252 Calculator

Given Input numbers are 414, 682, 498, 252

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 682 :

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

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (414, 682, 498, 252) = 2.

Given numbers are 414, 682, 498, 252

The list of prime factors of all numbers are

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 682 are 2 x 11 x 31

Prime factors of 498 are 2 x 3 x 83

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 414, 682, 498, 252 is 2.

Given numbers are 414, 682, 498, 252

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

Apply this formula for all numbers.

Step1:

LCM(414, 682) = 141174

GCD(414, 682) = ( 414 x 682 ) / 141174

= 414 / 682

= 414

Step2:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 414, 682, 498, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 131, 743, 473
• GCD of 744, 580, 631, 988
• GCD of 163, 264, 139, 598
• GCD of 680, 146, 382, 890
• GCD of 103, 436, 184, 875

Given numbers are 414, 682, 498, 252
The greatest common divisor of numbers 414, 682, 498, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 682, 498, 252 is 2.

1. What is the GCD of 414, 682, 498, 252?

GCD of given numbers 414, 682, 498, 252 is 2

2. How to calculate the greatest common divisor of 414, 682, 498, 252?

We can find the highest common divisor of 414, 682, 498, 252 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 414, 682, 498, 252 i.e 2.

3. How can I use the GCD of 414, 682, 498, 252Calculator?

Out the numbers 414, 682, 498, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.