GCD of 100, 374, 830, 938 Calculator

Given Input numbers are 100, 374, 830, 938

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (100, 374, 830, 938) = 2.

Given numbers are 100, 374, 830, 938

The list of prime factors of all numbers are

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

Prime factors of 374 are 2 x 11 x 17

Prime factors of 830 are 2 x 5 x 83

Prime factors of 938 are 2 x 7 x 67

The highest common occurrence is 2¹

Therefore, GCD of 100, 374, 830, 938 is 2.

Given numbers are 100, 374, 830, 938

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

Apply this formula for all numbers.

Step1:

LCM(100, 374) = 18700

GCD(100, 374) = ( 100 x 374 ) / 18700

= 100 / 374

= 100

Step2:

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

= 2 / 830

= 2

Step3:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

So, Greatest Common Divisor of 100, 374, 830, 938 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 543, 512, 546
• GCD of 844, 974, 582, 752
• GCD of 554, 272, 376, 643
• GCD of 389, 477, 374, 288
• GCD of 658, 224, 588, 914

Given numbers are 100, 374, 830, 938
The greatest common divisor of numbers 100, 374, 830, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 374, 830, 938 is 2.

1. What is the GCD of 100, 374, 830, 938?

GCD of given numbers 100, 374, 830, 938 is 2

2. How to calculate the greatest common divisor of 100, 374, 830, 938?

We can find the highest common divisor of 100, 374, 830, 938 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, 374, 830, 938 i.e 2.

3. How can I use the GCD of 100, 374, 830, 938Calculator?

Out the numbers 100, 374, 830, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.