GCD of 840, 825, 564, 118 Calculator

Given Input numbers are 840, 825, 564, 118

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (840, 825, 564, 118) = 1.

Given numbers are 840, 825, 564, 118

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 825 are 3 x 5 x 5 x 11

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 118 are 2 x 59

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 840, 825, 564, 118

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

Apply this formula for all numbers.

Step1:

LCM(840, 825) = 46200

GCD(840, 825) = ( 840 x 825 ) / 46200

= 840 / 825

= 840

Step2:

LCM(15, 564) = 2820

GCD(15, 564) = ( 15 x 564 ) / 2820

= 15 / 564

= 15

Step3:

LCM(3, 118) = 354

GCD(3, 118) = ( 3 x 118 ) / 354

= 3 / 118

= 3

So, Greatest Common Divisor of 840, 825, 564, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 879, 201, 925
• GCD of 201, 986, 657, 399
• GCD of 260, 242, 802, 328
• GCD of 700, 165, 359, 651
• GCD of 953, 935, 203, 416

Given numbers are 840, 825, 564, 118
The greatest common divisor of numbers 840, 825, 564, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 825, 564, 118 is 1.

1. What is the GCD of 840, 825, 564, 118?

GCD of given numbers 840, 825, 564, 118 is 1

2. How to calculate the greatest common divisor of 840, 825, 564, 118?

We can find the highest common divisor of 840, 825, 564, 118 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, 825, 564, 118 i.e 1.

3. How can I use the GCD of 840, 825, 564, 118Calculator?

Out the numbers 840, 825, 564, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.