GCD of 698, 342, 914, 420 Calculator

Given Input numbers are 698, 342, 914, 420

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (698, 342, 914, 420) = 2.

Given numbers are 698, 342, 914, 420

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 914 are 2 x 457

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 698, 342, 914, 420 is 2.

Given numbers are 698, 342, 914, 420

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

Apply this formula for all numbers.

Step1:

LCM(698, 342) = 119358

GCD(698, 342) = ( 698 x 342 ) / 119358

= 698 / 342

= 698

Step2:

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

= 2 / 914

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 698, 342, 914, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 754, 354, 758
• GCD of 315, 793, 179, 656
• GCD of 213, 637, 880, 316
• GCD of 170, 808, 185, 949
• GCD of 109, 100, 665, 788

Given numbers are 698, 342, 914, 420
The greatest common divisor of numbers 698, 342, 914, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 342, 914, 420 is 2.

1. What is the GCD of 698, 342, 914, 420?

GCD of given numbers 698, 342, 914, 420 is 2

2. How to calculate the greatest common divisor of 698, 342, 914, 420?

We can find the highest common divisor of 698, 342, 914, 420 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, 342, 914, 420 i.e 2.

3. How can I use the GCD of 698, 342, 914, 420Calculator?

Out the numbers 698, 342, 914, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.