GCD of 100, 994, 400, 474 Calculator

Given Input numbers are 100, 994, 400, 474

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

Divisors of 100 :

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

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

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (100, 994, 400, 474) = 2.

Given numbers are 100, 994, 400, 474

The list of prime factors of all numbers are

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

Prime factors of 994 are 2 x 7 x 71

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 100, 994, 400, 474 is 2.

Given numbers are 100, 994, 400, 474

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

Apply this formula for all numbers.

Step1:

LCM(100, 994) = 49700

GCD(100, 994) = ( 100 x 994 ) / 49700

= 100 / 994

= 100

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

Step3:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

So, Greatest Common Divisor of 100, 994, 400, 474 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 948, 689, 881
• GCD of 528, 360, 781, 102
• GCD of 362, 646, 439, 922
• GCD of 687, 258, 341, 911
• GCD of 116, 709, 989, 235

Given numbers are 100, 994, 400, 474
The greatest common divisor of numbers 100, 994, 400, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 994, 400, 474 is 2.

1. What is the GCD of 100, 994, 400, 474?

GCD of given numbers 100, 994, 400, 474 is 2

2. How to calculate the greatest common divisor of 100, 994, 400, 474?

We can find the highest common divisor of 100, 994, 400, 474 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 100, 994, 400, 474 i.e 2.

3. How can I use the GCD of 100, 994, 400, 474Calculator?

Out the numbers 100, 994, 400, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.