Online GCD Calculator is useful to find the GCD of 130, 436, 562, 764 quickly. Get the easiest ways to solve the greatest common divisor of 130, 436, 562, 764 i.e 2 in different methods as follows.
Given Input numbers are 130, 436, 562, 764
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
GCD of numbers is the greatest common divisor
So, the GCD (130, 436, 562, 764) = 2.
Given numbers are 130, 436, 562, 764
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 436 are 2 x 2 x 109
Prime factors of 562 are 2 x 281
Prime factors of 764 are 2 x 2 x 191
The highest common occurrence is 21
Therefore, GCD of 130, 436, 562, 764 is 2.
Given numbers are 130, 436, 562, 764
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 436) = 28340
GCD(130, 436) = ( 130 x 436 ) / 28340
= 130 / 436
= 130
Step2:
LCM(2, 562) = 562
GCD(2, 562) = ( 2 x 562 ) / 562
= 2 / 562
= 2
Step3:
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
= 2 / 764
= 2
So, Greatest Common Divisor of 130, 436, 562, 764 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 436, 562, 764
The greatest common divisor of numbers 130, 436, 562, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 436, 562, 764 is 2.
1. What is the GCD of 130, 436, 562, 764?
GCD of given numbers 130, 436, 562, 764 is 2
2. How to calculate the greatest common divisor of 130, 436, 562, 764?
We can find the highest common divisor of 130, 436, 562, 764 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 130, 436, 562, 764 i.e 2.
3. How can I use the GCD of 130, 436, 562, 764Calculator?
Out the numbers 130, 436, 562, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.