GCD of 240, 864, 364, 802 Calculator

Given Input numbers are 240, 864, 364, 802

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

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 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

GCD of numbers is the greatest common divisor

So, the GCD (240, 864, 364, 802) = 2.

Given numbers are 240, 864, 364, 802

The list of prime factors of all numbers are

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

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 802 are 2 x 401

The highest common occurrence is 2¹

Therefore, GCD of 240, 864, 364, 802 is 2.

Given numbers are 240, 864, 364, 802

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

Apply this formula for all numbers.

Step1:

LCM(240, 864) = 4320

GCD(240, 864) = ( 240 x 864 ) / 4320

= 240 / 864

= 240

Step2:

LCM(48, 364) = 4368

GCD(48, 364) = ( 48 x 364 ) / 4368

= 48 / 364

= 48

Step3:

LCM(4, 802) = 1604

GCD(4, 802) = ( 4 x 802 ) / 1604

= 4 / 802

= 4

So, Greatest Common Divisor of 240, 864, 364, 802 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 552, 845, 519
• GCD of 853, 631, 198, 669
• GCD of 121, 696, 659, 319
• GCD of 185, 504, 964, 294
• GCD of 244, 275, 254, 777

Given numbers are 240, 864, 364, 802
The greatest common divisor of numbers 240, 864, 364, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 864, 364, 802 is 2.

1. What is the GCD of 240, 864, 364, 802?

GCD of given numbers 240, 864, 364, 802 is 2

2. How to calculate the greatest common divisor of 240, 864, 364, 802?

We can find the highest common divisor of 240, 864, 364, 802 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 240, 864, 364, 802 i.e 2.

3. How can I use the GCD of 240, 864, 364, 802Calculator?

Out the numbers 240, 864, 364, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.