GCD of 828, 100, 142, 930 Calculator

Given Input numbers are 828, 100, 142, 930

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

GCD of numbers is the greatest common divisor

So, the GCD (828, 100, 142, 930) = 2.

Given numbers are 828, 100, 142, 930

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Prime factors of 142 are 2 x 71

Prime factors of 930 are 2 x 3 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 828, 100, 142, 930 is 2.

Given numbers are 828, 100, 142, 930

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

Apply this formula for all numbers.

Step1:

LCM(828, 100) = 20700

GCD(828, 100) = ( 828 x 100 ) / 20700

= 828 / 100

= 828

Step2:

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

= 4 / 142

= 4

Step3:

LCM(2, 930) = 930

GCD(2, 930) = ( 2 x 930 ) / 930

= 2 / 930

= 2

So, Greatest Common Divisor of 828, 100, 142, 930 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 115, 187, 736
• GCD of 556, 890, 624, 356
• GCD of 441, 354, 358, 200
• GCD of 318, 841, 388, 679
• GCD of 591, 494, 389, 627

Given numbers are 828, 100, 142, 930
The greatest common divisor of numbers 828, 100, 142, 930 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 100, 142, 930 is 2.

1. What is the GCD of 828, 100, 142, 930?

GCD of given numbers 828, 100, 142, 930 is 2

2. How to calculate the greatest common divisor of 828, 100, 142, 930?

We can find the highest common divisor of 828, 100, 142, 930 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 828, 100, 142, 930 i.e 2.

3. How can I use the GCD of 828, 100, 142, 930Calculator?

Out the numbers 828, 100, 142, 930 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.