GCD of 550, 898, 360, 152 Calculator

Given Input numbers are 550, 898, 360, 152

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 898 :

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

1, 2, 449, 898

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

GCD of numbers is the greatest common divisor

So, the GCD (550, 898, 360, 152) = 2.

Given numbers are 550, 898, 360, 152

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 898 are 2 x 449

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 152 are 2 x 2 x 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 550, 898, 360, 152 is 2.

Given numbers are 550, 898, 360, 152

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

Apply this formula for all numbers.

Step1:

LCM(550, 898) = 246950

GCD(550, 898) = ( 550 x 898 ) / 246950

= 550 / 898

= 550

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

= 2 / 152

= 2

So, Greatest Common Divisor of 550, 898, 360, 152 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 191, 564, 138
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• GCD of 284, 317, 872, 536
• GCD of 134, 448, 764, 264
• GCD of 770, 119, 517, 126

Given numbers are 550, 898, 360, 152
The greatest common divisor of numbers 550, 898, 360, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 898, 360, 152 is 2.

1. What is the GCD of 550, 898, 360, 152?

GCD of given numbers 550, 898, 360, 152 is 2

2. How to calculate the greatest common divisor of 550, 898, 360, 152?

We can find the highest common divisor of 550, 898, 360, 152 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 550, 898, 360, 152 i.e 2.

3. How can I use the GCD of 550, 898, 360, 152Calculator?

Out the numbers 550, 898, 360, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.