GCD of 378, 624, 987, 777 Calculator

Given Input numbers are 378, 624, 987, 777

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 987 :

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

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

Divisors of 777 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (378, 624, 987, 777) = 3.

Given numbers are 378, 624, 987, 777

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 987 are 3 x 7 x 47

Prime factors of 777 are 3 x 7 x 37

The highest common occurrence is 3¹

Therefore, GCD of 378, 624, 987, 777 is 3.

Given numbers are 378, 624, 987, 777

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

Apply this formula for all numbers.

Step1:

LCM(378, 624) = 39312

GCD(378, 624) = ( 378 x 624 ) / 39312

= 378 / 624

= 378

Step2:

LCM(6, 987) = 1974

GCD(6, 987) = ( 6 x 987 ) / 1974

= 6 / 987

= 6

Step3:

LCM(3, 777) = 777

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

= 3 / 777

= 3

So, Greatest Common Divisor of 378, 624, 987, 777 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 891, 119, 931
• GCD of 205, 403, 443, 460
• GCD of 291, 192, 343, 539
• GCD of 792, 830, 101, 611
• GCD of 575, 726, 116, 428

Given numbers are 378, 624, 987, 777
The greatest common divisor of numbers 378, 624, 987, 777 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 624, 987, 777 is 3.

1. What is the GCD of 378, 624, 987, 777?

GCD of given numbers 378, 624, 987, 777 is 3

2. How to calculate the greatest common divisor of 378, 624, 987, 777?

We can find the highest common divisor of 378, 624, 987, 777 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 378, 624, 987, 777 i.e 3.

3. How can I use the GCD of 378, 624, 987, 777Calculator?

Out the numbers 378, 624, 987, 777 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.