GCD of 900, 343, 121, 987 Calculator

Given Input numbers are 900, 343, 121, 987

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 987 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (900, 343, 121, 987) = 1.

Given numbers are 900, 343, 121, 987

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 343 are 7 x 7 x 7

Prime factors of 121 are 11 x 11

Prime factors of 987 are 3 x 7 x 47

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

Given numbers are 900, 343, 121, 987

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

Apply this formula for all numbers.

Step1:

LCM(900, 343) = 308700

GCD(900, 343) = ( 900 x 343 ) / 308700

= 900 / 343

= 900

Step2:

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

= 1 / 121

= 1

Step3:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1

So, Greatest Common Divisor of 900, 343, 121, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 947, 322, 929
• GCD of 183, 285, 186, 129
• GCD of 574, 536, 996, 576
• GCD of 794, 205, 847, 664
• GCD of 177, 121, 348, 600

Given numbers are 900, 343, 121, 987
The greatest common divisor of numbers 900, 343, 121, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 343, 121, 987 is 1.

1. What is the GCD of 900, 343, 121, 987?

GCD of given numbers 900, 343, 121, 987 is 1

2. How to calculate the greatest common divisor of 900, 343, 121, 987?

We can find the highest common divisor of 900, 343, 121, 987 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, 343, 121, 987 i.e 1.

3. How can I use the GCD of 900, 343, 121, 987Calculator?

Out the numbers 900, 343, 121, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.