GCD of 987, 897, 690, 114 Calculator

Given Input numbers are 987, 897, 690, 114

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 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (987, 897, 690, 114) = 3.

Given numbers are 987, 897, 690, 114

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 897 are 3 x 13 x 23

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 987, 897, 690, 114 is 3.

Given numbers are 987, 897, 690, 114

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

Apply this formula for all numbers.

Step1:

LCM(987, 897) = 295113

GCD(987, 897) = ( 987 x 897 ) / 295113

= 987 / 897

= 987

Step2:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

Step3:

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

= 3 / 114

= 3

So, Greatest Common Divisor of 987, 897, 690, 114 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 894, 701, 541
• GCD of 898, 812, 598, 221
• GCD of 236, 146, 903, 409
• GCD of 514, 212, 385, 380
• GCD of 478, 448, 577, 408

Given numbers are 987, 897, 690, 114
The greatest common divisor of numbers 987, 897, 690, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 897, 690, 114 is 3.

1. What is the GCD of 987, 897, 690, 114?

GCD of given numbers 987, 897, 690, 114 is 3

2. How to calculate the greatest common divisor of 987, 897, 690, 114?

We can find the highest common divisor of 987, 897, 690, 114 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, 897, 690, 114 i.e 3.

3. How can I use the GCD of 987, 897, 690, 114Calculator?

Out the numbers 987, 897, 690, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.