GCD of 876, 225, 210, 105 Calculator

Given Input numbers are 876, 225, 210, 105

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (876, 225, 210, 105) = 3.

Given numbers are 876, 225, 210, 105

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 876, 225, 210, 105 is 3.

Given numbers are 876, 225, 210, 105

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

Apply this formula for all numbers.

Step1:

LCM(876, 225) = 65700

GCD(876, 225) = ( 876 x 225 ) / 65700

= 876 / 225

= 876

Step2:

LCM(3, 210) = 210

GCD(3, 210) = ( 3 x 210 ) / 210

= 3 / 210

= 3

Step3:

LCM(3, 105) = 105

GCD(3, 105) = ( 3 x 105 ) / 105

= 3 / 105

= 3

So, Greatest Common Divisor of 876, 225, 210, 105 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 382, 900, 531
• GCD of 951, 119, 489, 702
• GCD of 486, 171, 352, 446
• GCD of 926, 360, 981, 690
• GCD of 566, 690, 922, 239

Given numbers are 876, 225, 210, 105
The greatest common divisor of numbers 876, 225, 210, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 225, 210, 105 is 3.

1. What is the GCD of 876, 225, 210, 105?

GCD of given numbers 876, 225, 210, 105 is 3

2. How to calculate the greatest common divisor of 876, 225, 210, 105?

We can find the highest common divisor of 876, 225, 210, 105 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 876, 225, 210, 105 i.e 3.

3. How can I use the GCD of 876, 225, 210, 105Calculator?

Out the numbers 876, 225, 210, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.