GCD of 882, 616, 87, 105 Calculator

Given Input numbers are 882, 616, 87, 105

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

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 (882, 616, 87, 105) = 1.

Given numbers are 882, 616, 87, 105

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 87 are 3 x 29

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 882, 616, 87, 105

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

Apply this formula for all numbers.

Step1:

LCM(882, 616) = 38808

GCD(882, 616) = ( 882 x 616 ) / 38808

= 882 / 616

= 882

Step2:

LCM(14, 87) = 1218

GCD(14, 87) = ( 14 x 87 ) / 1218

= 14 / 87

= 14

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 882, 616, 87, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 461, 57, 933
• GCD of 905, 964, 82, 419
• GCD of 416, 158, 23, 720
• GCD of 792, 983, 98, 868
• GCD of 712, 517, 25, 407

Given numbers are 882, 616, 87, 105
The greatest common divisor of numbers 882, 616, 87, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 616, 87, 105 is 1.

1. What is the GCD of 882, 616, 87, 105?

GCD of given numbers 882, 616, 87, 105 is 1

2. How to calculate the greatest common divisor of 882, 616, 87, 105?

We can find the highest common divisor of 882, 616, 87, 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 882, 616, 87, 105 i.e 1.

3. How can I use the GCD of 882, 616, 87, 105Calculator?

Out the numbers 882, 616, 87, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.