GCD of 492, 980, 698, 218 Calculator

Given Input numbers are 492, 980, 698, 218

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (492, 980, 698, 218) = 2.

Given numbers are 492, 980, 698, 218

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 698 are 2 x 349

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 492, 980, 698, 218 is 2.

Given numbers are 492, 980, 698, 218

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

Apply this formula for all numbers.

Step1:

LCM(492, 980) = 120540

GCD(492, 980) = ( 492 x 980 ) / 120540

= 492 / 980

= 492

Step2:

LCM(4, 698) = 1396

GCD(4, 698) = ( 4 x 698 ) / 1396

= 4 / 698

= 4

Step3:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

So, Greatest Common Divisor of 492, 980, 698, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 310, 682, 447
• GCD of 562, 405, 624, 880
• GCD of 371, 746, 285, 480
• GCD of 216, 155, 436, 112
• GCD of 656, 651, 464, 364

Given numbers are 492, 980, 698, 218
The greatest common divisor of numbers 492, 980, 698, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 980, 698, 218 is 2.

1. What is the GCD of 492, 980, 698, 218?

GCD of given numbers 492, 980, 698, 218 is 2

2. How to calculate the greatest common divisor of 492, 980, 698, 218?

We can find the highest common divisor of 492, 980, 698, 218 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 492, 980, 698, 218 i.e 2.

3. How can I use the GCD of 492, 980, 698, 218Calculator?

Out the numbers 492, 980, 698, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.