GCD of 987, 765, 777, 657 Calculator

Given Input numbers are 987, 765, 777, 657

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 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

GCD of numbers is the greatest common divisor

So, the GCD (987, 765, 777, 657) = 3.

Given numbers are 987, 765, 777, 657

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 777 are 3 x 7 x 37

Prime factors of 657 are 3 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 987, 765, 777, 657 is 3.

Given numbers are 987, 765, 777, 657

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

Apply this formula for all numbers.

Step1:

LCM(987, 765) = 251685

GCD(987, 765) = ( 987 x 765 ) / 251685

= 987 / 765

= 987

Step2:

LCM(3, 777) = 777

GCD(3, 777) = ( 3 x 777 ) / 777

= 3 / 777

= 3

Step3:

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

= 3 / 657

= 3

So, Greatest Common Divisor of 987, 765, 777, 657 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 474, 895, 360
• GCD of 180, 280, 773, 476
• GCD of 108, 223, 427, 398
• GCD of 479, 981, 465, 291
• GCD of 871, 453, 926, 968

Given numbers are 987, 765, 777, 657
The greatest common divisor of numbers 987, 765, 777, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 765, 777, 657 is 3.

1. What is the GCD of 987, 765, 777, 657?

GCD of given numbers 987, 765, 777, 657 is 3

2. How to calculate the greatest common divisor of 987, 765, 777, 657?

We can find the highest common divisor of 987, 765, 777, 657 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, 765, 777, 657 i.e 3.

3. How can I use the GCD of 987, 765, 777, 657Calculator?

Out the numbers 987, 765, 777, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.