GCD of 225, 978, 705, 343 Calculator

Given Input numbers are 225, 978, 705, 343

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 343 :

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

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (225, 978, 705, 343) = 1.

Given numbers are 225, 978, 705, 343

The list of prime factors of all numbers are

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 978 are 2 x 3 x 163

Prime factors of 705 are 3 x 5 x 47

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 225, 978, 705, 343

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

Apply this formula for all numbers.

Step1:

LCM(225, 978) = 73350

GCD(225, 978) = ( 225 x 978 ) / 73350

= 225 / 978

= 225

Step2:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3

Step3:

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

= 3 / 343

= 3

So, Greatest Common Divisor of 225, 978, 705, 343 is 1

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• GCD of 987, 804, 734, 187
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Given numbers are 225, 978, 705, 343
The greatest common divisor of numbers 225, 978, 705, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 978, 705, 343 is 1.

1. What is the GCD of 225, 978, 705, 343?

GCD of given numbers 225, 978, 705, 343 is 1

2. How to calculate the greatest common divisor of 225, 978, 705, 343?

We can find the highest common divisor of 225, 978, 705, 343 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 225, 978, 705, 343 i.e 1.

3. How can I use the GCD of 225, 978, 705, 343Calculator?

Out the numbers 225, 978, 705, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.