GCD of 849, 297, 228, 702 Calculator

Given Input numbers are 849, 297, 228, 702

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 297 :

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

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (849, 297, 228, 702) = 3.

Given numbers are 849, 297, 228, 702

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

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

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 849, 297, 228, 702 is 3.

Given numbers are 849, 297, 228, 702

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

Apply this formula for all numbers.

Step1:

LCM(849, 297) = 84051

GCD(849, 297) = ( 849 x 297 ) / 84051

= 849 / 297

= 849

Step2:

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

= 3 / 228

= 3

Step3:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

So, Greatest Common Divisor of 849, 297, 228, 702 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 776, 586, 356
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Given numbers are 849, 297, 228, 702
The greatest common divisor of numbers 849, 297, 228, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 297, 228, 702 is 3.

1. What is the GCD of 849, 297, 228, 702?

GCD of given numbers 849, 297, 228, 702 is 3

2. How to calculate the greatest common divisor of 849, 297, 228, 702?

We can find the highest common divisor of 849, 297, 228, 702 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 849, 297, 228, 702 i.e 3.

3. How can I use the GCD of 849, 297, 228, 702Calculator?

Out the numbers 849, 297, 228, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.