GCD of 698, 226, 980, 322 Calculator

Given Input numbers are 698, 226, 980, 322

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

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

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 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

GCD of numbers is the greatest common divisor

So, the GCD (698, 226, 980, 322) = 2.

Given numbers are 698, 226, 980, 322

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 226 are 2 x 113

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

Prime factors of 322 are 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 698, 226, 980, 322 is 2.

Given numbers are 698, 226, 980, 322

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

Apply this formula for all numbers.

Step1:

LCM(698, 226) = 78874

GCD(698, 226) = ( 698 x 226 ) / 78874

= 698 / 226

= 698

Step2:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

Step3:

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

= 2 / 322

= 2

So, Greatest Common Divisor of 698, 226, 980, 322 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 683, 309, 465
• GCD of 931, 462, 373, 489
• GCD of 240, 813, 203, 622
• GCD of 490, 931, 819, 549
• GCD of 849, 459, 615, 908

Given numbers are 698, 226, 980, 322
The greatest common divisor of numbers 698, 226, 980, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 226, 980, 322 is 2.

1. What is the GCD of 698, 226, 980, 322?

GCD of given numbers 698, 226, 980, 322 is 2

2. How to calculate the greatest common divisor of 698, 226, 980, 322?

We can find the highest common divisor of 698, 226, 980, 322 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 698, 226, 980, 322 i.e 2.

3. How can I use the GCD of 698, 226, 980, 322Calculator?

Out the numbers 698, 226, 980, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.