GCD of 840, 518, 71, 100 Calculator

Given Input numbers are 840, 518, 71, 100

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

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 (840, 518, 71, 100) = 1.

Given numbers are 840, 518, 71, 100

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 518 are 2 x 7 x 37

Prime factors of 71 are 71

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 840, 518, 71, 100

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

Apply this formula for all numbers.

Step1:

LCM(840, 518) = 31080

GCD(840, 518) = ( 840 x 518 ) / 31080

= 840 / 518

= 840

Step2:

LCM(14, 71) = 994

GCD(14, 71) = ( 14 x 71 ) / 994

= 14 / 71

= 14

Step3:

LCM(1, 100) = 100

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

= 1 / 100

= 1

So, Greatest Common Divisor of 840, 518, 71, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 823, 12, 211
• GCD of 427, 569, 33, 349
• GCD of 315, 824, 70, 500
• GCD of 243, 301, 55, 282
• GCD of 860, 894, 90, 820

Given numbers are 840, 518, 71, 100
The greatest common divisor of numbers 840, 518, 71, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 518, 71, 100 is 1.

1. What is the GCD of 840, 518, 71, 100?

GCD of given numbers 840, 518, 71, 100 is 1

2. How to calculate the greatest common divisor of 840, 518, 71, 100?

We can find the highest common divisor of 840, 518, 71, 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 840, 518, 71, 100 i.e 1.

3. How can I use the GCD of 840, 518, 71, 100Calculator?

Out the numbers 840, 518, 71, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.