GCD of 240, 560, 850, 648 Calculator

Given Input numbers are 240, 560, 850, 648

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (240, 560, 850, 648) = 2.

Given numbers are 240, 560, 850, 648

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 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 240, 560, 850, 648 is 2.

Given numbers are 240, 560, 850, 648

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

Apply this formula for all numbers.

Step1:

LCM(240, 560) = 1680

GCD(240, 560) = ( 240 x 560 ) / 1680

= 240 / 560

= 240

Step2:

LCM(80, 850) = 6800

GCD(80, 850) = ( 80 x 850 ) / 6800

= 80 / 850

= 80

Step3:

LCM(10, 648) = 3240

GCD(10, 648) = ( 10 x 648 ) / 3240

= 10 / 648

= 10

So, Greatest Common Divisor of 240, 560, 850, 648 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 441, 306, 217
• GCD of 974, 256, 864, 985
• GCD of 230, 434, 720, 967
• GCD of 594, 533, 356, 169
• GCD of 934, 419, 941, 956

Given numbers are 240, 560, 850, 648
The greatest common divisor of numbers 240, 560, 850, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 560, 850, 648 is 2.

1. What is the GCD of 240, 560, 850, 648?

GCD of given numbers 240, 560, 850, 648 is 2

2. How to calculate the greatest common divisor of 240, 560, 850, 648?

We can find the highest common divisor of 240, 560, 850, 648 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, 560, 850, 648 i.e 2.

3. How can I use the GCD of 240, 560, 850, 648Calculator?

Out the numbers 240, 560, 850, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.