GCD of 842, 120, 698, 398 Calculator

Given Input numbers are 842, 120, 698, 398

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (842, 120, 698, 398) = 2.

Given numbers are 842, 120, 698, 398

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 698 are 2 x 349

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 842, 120, 698, 398 is 2.

Given numbers are 842, 120, 698, 398

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

Apply this formula for all numbers.

Step1:

LCM(842, 120) = 50520

GCD(842, 120) = ( 842 x 120 ) / 50520

= 842 / 120

= 842

Step2:

LCM(2, 698) = 698

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

= 2 / 698

= 2

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 842, 120, 698, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 998, 792, 488
• GCD of 351, 659, 741, 690
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Given numbers are 842, 120, 698, 398
The greatest common divisor of numbers 842, 120, 698, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 120, 698, 398 is 2.

1. What is the GCD of 842, 120, 698, 398?

GCD of given numbers 842, 120, 698, 398 is 2

2. How to calculate the greatest common divisor of 842, 120, 698, 398?

We can find the highest common divisor of 842, 120, 698, 398 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 842, 120, 698, 398 i.e 2.

3. How can I use the GCD of 842, 120, 698, 398Calculator?

Out the numbers 842, 120, 698, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.