GCD of 900, 249, 202, 708 Calculator

Given Input numbers are 900, 249, 202, 708

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (900, 249, 202, 708) = 1.

Given numbers are 900, 249, 202, 708

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 249 are 3 x 83

Prime factors of 202 are 2 x 101

Prime factors of 708 are 2 x 2 x 3 x 59

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 900, 249, 202, 708

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

Apply this formula for all numbers.

Step1:

LCM(900, 249) = 74700

GCD(900, 249) = ( 900 x 249 ) / 74700

= 900 / 249

= 900

Step2:

LCM(3, 202) = 606

GCD(3, 202) = ( 3 x 202 ) / 606

= 3 / 202

= 3

Step3:

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

= 1 / 708

= 1

So, Greatest Common Divisor of 900, 249, 202, 708 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 521, 614, 498
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• GCD of 611, 577, 120, 159
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• GCD of 743, 598, 304, 326

Given numbers are 900, 249, 202, 708
The greatest common divisor of numbers 900, 249, 202, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 249, 202, 708 is 1.

1. What is the GCD of 900, 249, 202, 708?

GCD of given numbers 900, 249, 202, 708 is 1

2. How to calculate the greatest common divisor of 900, 249, 202, 708?

We can find the highest common divisor of 900, 249, 202, 708 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 900, 249, 202, 708 i.e 1.

3. How can I use the GCD of 900, 249, 202, 708Calculator?

Out the numbers 900, 249, 202, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.