GCD of 294, 378, 705, 225 Calculator

Given Input numbers are 294, 378, 705, 225

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

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 705 :

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

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

Divisors of 225 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (294, 378, 705, 225) = 3.

Given numbers are 294, 378, 705, 225

The list of prime factors of all numbers are

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 705 are 3 x 5 x 47

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

The highest common occurrence is 3¹

Therefore, GCD of 294, 378, 705, 225 is 3.

Given numbers are 294, 378, 705, 225

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

Apply this formula for all numbers.

Step1:

LCM(294, 378) = 2646

GCD(294, 378) = ( 294 x 378 ) / 2646

= 294 / 378

= 294

Step2:

LCM(42, 705) = 9870

GCD(42, 705) = ( 42 x 705 ) / 9870

= 42 / 705

= 42

Step3:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

So, Greatest Common Divisor of 294, 378, 705, 225 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 709, 669, 881
• GCD of 591, 837, 486, 650
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• GCD of 827, 392, 700, 996
• GCD of 590, 630, 866, 494

Given numbers are 294, 378, 705, 225
The greatest common divisor of numbers 294, 378, 705, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 378, 705, 225 is 3.

1. What is the GCD of 294, 378, 705, 225?

GCD of given numbers 294, 378, 705, 225 is 3

2. How to calculate the greatest common divisor of 294, 378, 705, 225?

We can find the highest common divisor of 294, 378, 705, 225 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 294, 378, 705, 225 i.e 3.

3. How can I use the GCD of 294, 378, 705, 225Calculator?

Out the numbers 294, 378, 705, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.