GCD of 140, 240, 782, 218 Calculator

Given Input numbers are 140, 240, 782, 218

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

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (140, 240, 782, 218) = 2.

Given numbers are 140, 240, 782, 218

The list of prime factors of all numbers are

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

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 782 are 2 x 17 x 23

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 140, 240, 782, 218 is 2.

Given numbers are 140, 240, 782, 218

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

Apply this formula for all numbers.

Step1:

LCM(140, 240) = 1680

GCD(140, 240) = ( 140 x 240 ) / 1680

= 140 / 240

= 140

Step2:

LCM(20, 782) = 7820

GCD(20, 782) = ( 20 x 782 ) / 7820

= 20 / 782

= 20

Step3:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

So, Greatest Common Divisor of 140, 240, 782, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 187, 850, 105
• GCD of 289, 814, 136, 572
• GCD of 394, 489, 121, 199
• GCD of 201, 427, 328, 568
• GCD of 330, 972, 421, 810

Given numbers are 140, 240, 782, 218
The greatest common divisor of numbers 140, 240, 782, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 240, 782, 218 is 2.

1. What is the GCD of 140, 240, 782, 218?

GCD of given numbers 140, 240, 782, 218 is 2

2. How to calculate the greatest common divisor of 140, 240, 782, 218?

We can find the highest common divisor of 140, 240, 782, 218 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 140, 240, 782, 218 i.e 2.

3. How can I use the GCD of 140, 240, 782, 218Calculator?

Out the numbers 140, 240, 782, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.