GCD of 150, 987, 849, 747 Calculator

Given Input numbers are 150, 987, 849, 747

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 987 :

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

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (150, 987, 849, 747) = 3.

Given numbers are 150, 987, 849, 747

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 987 are 3 x 7 x 47

Prime factors of 849 are 3 x 283

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 150, 987, 849, 747 is 3.

Given numbers are 150, 987, 849, 747

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

Apply this formula for all numbers.

Step1:

LCM(150, 987) = 49350

GCD(150, 987) = ( 150 x 987 ) / 49350

= 150 / 987

= 150

Step2:

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

= 3 / 849

= 3

Step3:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

So, Greatest Common Divisor of 150, 987, 849, 747 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 161, 791, 460
• GCD of 970, 996, 850, 983
• GCD of 515, 654, 263, 303
• GCD of 427, 159, 568, 124
• GCD of 999, 395, 620, 642

Given numbers are 150, 987, 849, 747
The greatest common divisor of numbers 150, 987, 849, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 987, 849, 747 is 3.

1. What is the GCD of 150, 987, 849, 747?

GCD of given numbers 150, 987, 849, 747 is 3

2. How to calculate the greatest common divisor of 150, 987, 849, 747?

We can find the highest common divisor of 150, 987, 849, 747 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 150, 987, 849, 747 i.e 3.

3. How can I use the GCD of 150, 987, 849, 747Calculator?

Out the numbers 150, 987, 849, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.