GCD of 987, 750, 210, 552 Calculator

Given Input numbers are 987, 750, 210, 552

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 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

GCD of numbers is the greatest common divisor

So, the GCD (987, 750, 210, 552) = 3.

Given numbers are 987, 750, 210, 552

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 987, 750, 210, 552 is 3.

Given numbers are 987, 750, 210, 552

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

Apply this formula for all numbers.

Step1:

LCM(987, 750) = 246750

GCD(987, 750) = ( 987 x 750 ) / 246750

= 987 / 750

= 987

Step2:

LCM(3, 210) = 210

GCD(3, 210) = ( 3 x 210 ) / 210

= 3 / 210

= 3

Step3:

LCM(3, 552) = 552

GCD(3, 552) = ( 3 x 552 ) / 552

= 3 / 552

= 3

So, Greatest Common Divisor of 987, 750, 210, 552 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 152, 920, 399, 179
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• GCD of 940, 709, 469, 596
• GCD of 706, 954, 920, 815
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Given numbers are 987, 750, 210, 552
The greatest common divisor of numbers 987, 750, 210, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 750, 210, 552 is 3.

1. What is the GCD of 987, 750, 210, 552?

GCD of given numbers 987, 750, 210, 552 is 3

2. How to calculate the greatest common divisor of 987, 750, 210, 552?

We can find the highest common divisor of 987, 750, 210, 552 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, 750, 210, 552 i.e 3.

3. How can I use the GCD of 987, 750, 210, 552Calculator?

Out the numbers 987, 750, 210, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.