Online GCD Calculator is useful to find the GCD of 474, 540, 562, 134 quickly. Get the easiest ways to solve the greatest common divisor of 474, 540, 562, 134 i.e 2 in different methods as follows.
Given Input numbers are 474, 540, 562, 134
In the factoring method, we have to find the divisors of all numbers
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
GCD of numbers is the greatest common divisor
So, the GCD (474, 540, 562, 134) = 2.
Given numbers are 474, 540, 562, 134
The list of prime factors of all numbers are
Prime factors of 474 are 2 x 3 x 79
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 562 are 2 x 281
Prime factors of 134 are 2 x 67
The highest common occurrence is 21
Therefore, GCD of 474, 540, 562, 134 is 2.
Given numbers are 474, 540, 562, 134
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(474, 540) = 42660
GCD(474, 540) = ( 474 x 540 ) / 42660
= 474 / 540
= 474
Step2:
LCM(6, 562) = 1686
GCD(6, 562) = ( 6 x 562 ) / 1686
= 6 / 562
= 6
Step3:
LCM(2, 134) = 134
GCD(2, 134) = ( 2 x 134 ) / 134
= 2 / 134
= 2
So, Greatest Common Divisor of 474, 540, 562, 134 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 474, 540, 562, 134
The greatest common divisor of numbers 474, 540, 562, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 540, 562, 134 is 2.
1. What is the GCD of 474, 540, 562, 134?
GCD of given numbers 474, 540, 562, 134 is 2
2. How to calculate the greatest common divisor of 474, 540, 562, 134?
We can find the highest common divisor of 474, 540, 562, 134 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 474, 540, 562, 134 i.e 2.
3. How can I use the GCD of 474, 540, 562, 134Calculator?
Out the numbers 474, 540, 562, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.