GCD of 366, 700, 720, 898 Calculator

Given Input numbers are 366, 700, 720, 898

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

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (366, 700, 720, 898) = 2.

Given numbers are 366, 700, 720, 898

The list of prime factors of all numbers are

Prime factors of 366 are 2 x 3 x 61

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 898 are 2 x 449

The highest common occurrence is 2¹

Therefore, GCD of 366, 700, 720, 898 is 2.

Given numbers are 366, 700, 720, 898

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

Apply this formula for all numbers.

Step1:

LCM(366, 700) = 128100

GCD(366, 700) = ( 366 x 700 ) / 128100

= 366 / 700

= 366

Step2:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2

Step3:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

So, Greatest Common Divisor of 366, 700, 720, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 437, 600, 745
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• GCD of 955, 816, 584, 774

Given numbers are 366, 700, 720, 898
The greatest common divisor of numbers 366, 700, 720, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 700, 720, 898 is 2.

1. What is the GCD of 366, 700, 720, 898?

GCD of given numbers 366, 700, 720, 898 is 2

2. How to calculate the greatest common divisor of 366, 700, 720, 898?

We can find the highest common divisor of 366, 700, 720, 898 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 366, 700, 720, 898 i.e 2.

3. How can I use the GCD of 366, 700, 720, 898Calculator?

Out the numbers 366, 700, 720, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.