GCD of 561, 735, 118, 226 Calculator

Given Input numbers are 561, 735, 118, 226

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

GCD of numbers is the greatest common divisor

So, the GCD (561, 735, 118, 226) = 1.

Given numbers are 561, 735, 118, 226

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 118 are 2 x 59

Prime factors of 226 are 2 x 113

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 561, 735, 118, 226

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

Apply this formula for all numbers.

Step1:

LCM(561, 735) = 137445

GCD(561, 735) = ( 561 x 735 ) / 137445

= 561 / 735

= 561

Step2:

LCM(3, 118) = 354

GCD(3, 118) = ( 3 x 118 ) / 354

= 3 / 118

= 3

Step3:

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

= 1 / 226

= 1

So, Greatest Common Divisor of 561, 735, 118, 226 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 608, 482, 161
• GCD of 225, 772, 845, 219
• GCD of 925, 753, 555, 476
• GCD of 445, 724, 623, 494
• GCD of 997, 992, 137, 439

Given numbers are 561, 735, 118, 226
The greatest common divisor of numbers 561, 735, 118, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 735, 118, 226 is 1.

1. What is the GCD of 561, 735, 118, 226?

GCD of given numbers 561, 735, 118, 226 is 1

2. How to calculate the greatest common divisor of 561, 735, 118, 226?

We can find the highest common divisor of 561, 735, 118, 226 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 561, 735, 118, 226 i.e 1.

3. How can I use the GCD of 561, 735, 118, 226Calculator?

Out the numbers 561, 735, 118, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.