GCD of 998, 358, 741, 100 Calculator

Given Input numbers are 998, 358, 741, 100

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

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (998, 358, 741, 100) = 1.

Given numbers are 998, 358, 741, 100

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 358 are 2 x 179

Prime factors of 741 are 3 x 13 x 19

Prime factors of 100 are 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 998, 358, 741, 100

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

Apply this formula for all numbers.

Step1:

LCM(998, 358) = 178642

GCD(998, 358) = ( 998 x 358 ) / 178642

= 998 / 358

= 998

Step2:

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

= 2 / 741

= 2

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 998, 358, 741, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 717, 763, 515
• GCD of 684, 898, 306, 568
• GCD of 452, 848, 283, 876
• GCD of 724, 830, 948, 951
• GCD of 909, 695, 243, 775

Given numbers are 998, 358, 741, 100
The greatest common divisor of numbers 998, 358, 741, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 358, 741, 100 is 1.

1. What is the GCD of 998, 358, 741, 100?

GCD of given numbers 998, 358, 741, 100 is 1

2. How to calculate the greatest common divisor of 998, 358, 741, 100?

We can find the highest common divisor of 998, 358, 741, 100 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 998, 358, 741, 100 i.e 1.

3. How can I use the GCD of 998, 358, 741, 100Calculator?

Out the numbers 998, 358, 741, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.