GCD of 201, 987, 711, 780 Calculator

Given Input numbers are 201, 987, 711, 780

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

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 987 :

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

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

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

GCD of numbers is the greatest common divisor

So, the GCD (201, 987, 711, 780) = 3.

Given numbers are 201, 987, 711, 780

The list of prime factors of all numbers are

Prime factors of 201 are 3 x 67

Prime factors of 987 are 3 x 7 x 47

Prime factors of 711 are 3 x 3 x 79

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 201, 987, 711, 780 is 3.

Given numbers are 201, 987, 711, 780

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

Apply this formula for all numbers.

Step1:

LCM(201, 987) = 66129

GCD(201, 987) = ( 201 x 987 ) / 66129

= 201 / 987

= 201

Step2:

LCM(3, 711) = 711

GCD(3, 711) = ( 3 x 711 ) / 711

= 3 / 711

= 3

Step3:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3

So, Greatest Common Divisor of 201, 987, 711, 780 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 323, 193, 188
• GCD of 552, 412, 224, 376
• GCD of 313, 243, 106, 873
• GCD of 851, 717, 595, 727
• GCD of 390, 701, 292, 643

Given numbers are 201, 987, 711, 780
The greatest common divisor of numbers 201, 987, 711, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 987, 711, 780 is 3.

1. What is the GCD of 201, 987, 711, 780?

GCD of given numbers 201, 987, 711, 780 is 3

2. How to calculate the greatest common divisor of 201, 987, 711, 780?

We can find the highest common divisor of 201, 987, 711, 780 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 201, 987, 711, 780 i.e 3.

3. How can I use the GCD of 201, 987, 711, 780Calculator?

Out the numbers 201, 987, 711, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.