GCD of 100, 284, 504, 140 Calculator

Given Input numbers are 100, 284, 504, 140

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 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (100, 284, 504, 140) = 4.

Given numbers are 100, 284, 504, 140

The list of prime factors of all numbers are

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

Prime factors of 284 are 2 x 2 x 71

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 2²

Therefore, GCD of 100, 284, 504, 140 is 4.

Given numbers are 100, 284, 504, 140

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

Apply this formula for all numbers.

Step1:

LCM(100, 284) = 7100

GCD(100, 284) = ( 100 x 284 ) / 7100

= 100 / 284

= 100

Step2:

LCM(4, 504) = 504

GCD(4, 504) = ( 4 x 504 ) / 504

= 4 / 504

= 4

Step3:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4

So, Greatest Common Divisor of 100, 284, 504, 140 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 780, 855, 902
• GCD of 561, 397, 427, 157
• GCD of 767, 705, 788, 243
• GCD of 782, 445, 647, 195
• GCD of 504, 441, 640, 680

Given numbers are 100, 284, 504, 140
The greatest common divisor of numbers 100, 284, 504, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 284, 504, 140 is 4.

1. What is the GCD of 100, 284, 504, 140?

GCD of given numbers 100, 284, 504, 140 is 4

2. How to calculate the greatest common divisor of 100, 284, 504, 140?

We can find the highest common divisor of 100, 284, 504, 140 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, 284, 504, 140 i.e 4.

3. How can I use the GCD of 100, 284, 504, 140Calculator?

Out the numbers 100, 284, 504, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.