GCD of 987, 747, 48 Calculator

Given Input numbers are 987, 747, 48

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

GCD of numbers is the greatest common divisor

So, the GCD (987, 747, 48) = 3.

Given numbers are 987, 747, 48

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 747 are 3 x 3 x 83

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

The highest common occurrence is 3¹

Therefore, GCD of 987, 747, 48 is 3.

Given numbers are 987, 747, 48

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

Apply this formula for all numbers.

Step1:

LCM(987, 747) = 245763

GCD(987, 747) = ( 987 x 747 ) / 245763

= 987 / 747

= 987

Step2:

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

= 3 / 48

= 3

So, Greatest Common Divisor of 987, 747, 48 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 744, 21
• GCD of 496, 664, 58
• GCD of 421, 687, 10
• GCD of 870, 657, 40
• GCD of 597, 315, 88

Given numbers are 987, 747, 48
The greatest common divisor of numbers 987, 747, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 747, 48 is 3.

1. What is the GCD of 987, 747, 48?

GCD of given numbers 987, 747, 48 is 3

2. How to calculate the greatest common divisor of 987, 747, 48?

We can find the highest common divisor of 987, 747, 48 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, 747, 48 i.e 3.

3. How can I use the GCD of 987, 747, 48Calculator?

Out the numbers 987, 747, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.