GCD of 945, 297, 100, 147 Calculator

Given Input numbers are 945, 297, 100, 147

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

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 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (945, 297, 100, 147) = 1.

Given numbers are 945, 297, 100, 147

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 297 are 3 x 3 x 3 x 11

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

Prime factors of 147 are 3 x 7 x 7

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

Given numbers are 945, 297, 100, 147

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

Apply this formula for all numbers.

Step1:

LCM(945, 297) = 10395

GCD(945, 297) = ( 945 x 297 ) / 10395

= 945 / 297

= 945

Step2:

LCM(27, 100) = 2700

GCD(27, 100) = ( 27 x 100 ) / 2700

= 27 / 100

= 27

Step3:

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

= 1 / 147

= 1

So, Greatest Common Divisor of 945, 297, 100, 147 is 1

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• GCD of 952, 635, 643, 423
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Given numbers are 945, 297, 100, 147
The greatest common divisor of numbers 945, 297, 100, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 297, 100, 147 is 1.

1. What is the GCD of 945, 297, 100, 147?

GCD of given numbers 945, 297, 100, 147 is 1

2. How to calculate the greatest common divisor of 945, 297, 100, 147?

We can find the highest common divisor of 945, 297, 100, 147 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 945, 297, 100, 147 i.e 1.

3. How can I use the GCD of 945, 297, 100, 147Calculator?

Out the numbers 945, 297, 100, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.