GCD of 236, 310, 560, 558 Calculator

Given Input numbers are 236, 310, 560, 558

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

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (236, 310, 560, 558) = 2.

Given numbers are 236, 310, 560, 558

The list of prime factors of all numbers are

Prime factors of 236 are 2 x 2 x 59

Prime factors of 310 are 2 x 5 x 31

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 236, 310, 560, 558 is 2.

Given numbers are 236, 310, 560, 558

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

Apply this formula for all numbers.

Step1:

LCM(236, 310) = 36580

GCD(236, 310) = ( 236 x 310 ) / 36580

= 236 / 310

= 236

Step2:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

Step3:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

So, Greatest Common Divisor of 236, 310, 560, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 775, 982, 953
• GCD of 152, 269, 339, 515
• GCD of 578, 612, 498, 911
• GCD of 535, 121, 848, 790
• GCD of 347, 846, 936, 598

Given numbers are 236, 310, 560, 558
The greatest common divisor of numbers 236, 310, 560, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 236, 310, 560, 558 is 2.

1. What is the GCD of 236, 310, 560, 558?

GCD of given numbers 236, 310, 560, 558 is 2

2. How to calculate the greatest common divisor of 236, 310, 560, 558?

We can find the highest common divisor of 236, 310, 560, 558 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 236, 310, 560, 558 i.e 2.

3. How can I use the GCD of 236, 310, 560, 558Calculator?

Out the numbers 236, 310, 560, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.