GCD of 987, 221, 969, 852 Calculator

Given Input numbers are 987, 221, 969, 852

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (987, 221, 969, 852) = 1.

Given numbers are 987, 221, 969, 852

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 221 are 13 x 17

Prime factors of 969 are 3 x 17 x 19

Prime factors of 852 are 2 x 2 x 3 x 71

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

Given numbers are 987, 221, 969, 852

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

Apply this formula for all numbers.

Step1:

LCM(987, 221) = 218127

GCD(987, 221) = ( 987 x 221 ) / 218127

= 987 / 221

= 987

Step2:

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

= 1 / 969

= 1

Step3:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

So, Greatest Common Divisor of 987, 221, 969, 852 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 181, 889, 133
• GCD of 786, 724, 354, 113
• GCD of 706, 549, 209, 889
• GCD of 712, 845, 383, 100
• GCD of 430, 732, 496, 383

Given numbers are 987, 221, 969, 852
The greatest common divisor of numbers 987, 221, 969, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 221, 969, 852 is 1.

1. What is the GCD of 987, 221, 969, 852?

GCD of given numbers 987, 221, 969, 852 is 1

2. How to calculate the greatest common divisor of 987, 221, 969, 852?

We can find the highest common divisor of 987, 221, 969, 852 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 987, 221, 969, 852 i.e 1.

3. How can I use the GCD of 987, 221, 969, 852Calculator?

Out the numbers 987, 221, 969, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.