GCD of 412, 742, 802, 998 Calculator

Given Input numbers are 412, 742, 802, 998

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

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (412, 742, 802, 998) = 2.

Given numbers are 412, 742, 802, 998

The list of prime factors of all numbers are

Prime factors of 412 are 2 x 2 x 103

Prime factors of 742 are 2 x 7 x 53

Prime factors of 802 are 2 x 401

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 412, 742, 802, 998 is 2.

Given numbers are 412, 742, 802, 998

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

Apply this formula for all numbers.

Step1:

LCM(412, 742) = 152852

GCD(412, 742) = ( 412 x 742 ) / 152852

= 412 / 742

= 412

Step2:

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

= 2 / 802

= 2

Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

So, Greatest Common Divisor of 412, 742, 802, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 281, 434, 139
• GCD of 842, 428, 793, 315
• GCD of 379, 227, 793, 881
• GCD of 963, 981, 470, 227
• GCD of 759, 893, 600, 162

Given numbers are 412, 742, 802, 998
The greatest common divisor of numbers 412, 742, 802, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 742, 802, 998 is 2.

1. What is the GCD of 412, 742, 802, 998?

GCD of given numbers 412, 742, 802, 998 is 2

2. How to calculate the greatest common divisor of 412, 742, 802, 998?

We can find the highest common divisor of 412, 742, 802, 998 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 412, 742, 802, 998 i.e 2.

3. How can I use the GCD of 412, 742, 802, 998Calculator?

Out the numbers 412, 742, 802, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.