GCD of 202, 402, 684, 698 Calculator

Given Input numbers are 202, 402, 684, 698

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

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 (202, 402, 684, 698) = 2.

Given numbers are 202, 402, 684, 698

The list of prime factors of all numbers are

Prime factors of 202 are 2 x 101

Prime factors of 402 are 2 x 3 x 67

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 202, 402, 684, 698 is 2.

Given numbers are 202, 402, 684, 698

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

Apply this formula for all numbers.

Step1:

LCM(202, 402) = 40602

GCD(202, 402) = ( 202 x 402 ) / 40602

= 202 / 402

= 202

Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

Step3:

LCM(2, 698) = 698

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

= 2 / 698

= 2

So, Greatest Common Divisor of 202, 402, 684, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 916, 900, 218
• GCD of 450, 590, 189, 828
• GCD of 752, 990, 302, 142
• GCD of 816, 133, 930, 238
• GCD of 970, 543, 284, 772

Given numbers are 202, 402, 684, 698
The greatest common divisor of numbers 202, 402, 684, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 202, 402, 684, 698 is 2.

1. What is the GCD of 202, 402, 684, 698?

GCD of given numbers 202, 402, 684, 698 is 2

2. How to calculate the greatest common divisor of 202, 402, 684, 698?

We can find the highest common divisor of 202, 402, 684, 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 202, 402, 684, 698 i.e 2.

3. How can I use the GCD of 202, 402, 684, 698Calculator?

Out the numbers 202, 402, 684, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.