GCD of 969, 100, 747, 231 Calculator

Given Input numbers are 969, 100, 747, 231

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (969, 100, 747, 231) = 1.

Given numbers are 969, 100, 747, 231

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 747 are 3 x 3 x 83

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 969, 100, 747, 231

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

Apply this formula for all numbers.

Step1:

LCM(969, 100) = 96900

GCD(969, 100) = ( 969 x 100 ) / 96900

= 969 / 100

= 969

Step2:

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

= 1 / 747

= 1

Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

So, Greatest Common Divisor of 969, 100, 747, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 394, 877, 791
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Given numbers are 969, 100, 747, 231
The greatest common divisor of numbers 969, 100, 747, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 100, 747, 231 is 1.

1. What is the GCD of 969, 100, 747, 231?

GCD of given numbers 969, 100, 747, 231 is 1

2. How to calculate the greatest common divisor of 969, 100, 747, 231?

We can find the highest common divisor of 969, 100, 747, 231 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 969, 100, 747, 231 i.e 1.

3. How can I use the GCD of 969, 100, 747, 231Calculator?

Out the numbers 969, 100, 747, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.