GCD of 420, 698, 58, 898 Calculator

Given Input numbers are 420, 698, 58, 898

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

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

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (420, 698, 58, 898) = 2.

Given numbers are 420, 698, 58, 898

The list of prime factors of all numbers are

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

Prime factors of 698 are 2 x 349

Prime factors of 58 are 2 x 29

Prime factors of 898 are 2 x 449

The highest common occurrence is 2¹

Therefore, GCD of 420, 698, 58, 898 is 2.

Given numbers are 420, 698, 58, 898

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

Apply this formula for all numbers.

Step1:

LCM(420, 698) = 146580

GCD(420, 698) = ( 420 x 698 ) / 146580

= 420 / 698

= 420

Step2:

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

= 2 / 58

= 2

Step3:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

So, Greatest Common Divisor of 420, 698, 58, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 996, 82, 446
• GCD of 523, 459, 36, 152
• GCD of 397, 121, 80, 510
• GCD of 611, 278, 76, 750
• GCD of 989, 849, 31, 618

Given numbers are 420, 698, 58, 898
The greatest common divisor of numbers 420, 698, 58, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 698, 58, 898 is 2.

1. What is the GCD of 420, 698, 58, 898?

GCD of given numbers 420, 698, 58, 898 is 2

2. How to calculate the greatest common divisor of 420, 698, 58, 898?

We can find the highest common divisor of 420, 698, 58, 898 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 420, 698, 58, 898 i.e 2.

3. How can I use the GCD of 420, 698, 58, 898Calculator?

Out the numbers 420, 698, 58, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.