Online GCD Calculator is useful to find the GCD of 376, 520, 414, 712 quickly. Get the easiest ways to solve the greatest common divisor of 376, 520, 414, 712 i.e 2 in different methods as follows.
Given Input numbers are 376, 520, 414, 712
In the factoring method, we have to find the divisors of all numbers
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
GCD of numbers is the greatest common divisor
So, the GCD (376, 520, 414, 712) = 2.
Given numbers are 376, 520, 414, 712
The list of prime factors of all numbers are
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 712 are 2 x 2 x 2 x 89
The highest common occurrence is 21
Therefore, GCD of 376, 520, 414, 712 is 2.
Given numbers are 376, 520, 414, 712
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(376, 520) = 24440
GCD(376, 520) = ( 376 x 520 ) / 24440
= 376 / 520
= 376
Step2:
LCM(8, 414) = 1656
GCD(8, 414) = ( 8 x 414 ) / 1656
= 8 / 414
= 8
Step3:
LCM(2, 712) = 712
GCD(2, 712) = ( 2 x 712 ) / 712
= 2 / 712
= 2
So, Greatest Common Divisor of 376, 520, 414, 712 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 376, 520, 414, 712
The greatest common divisor of numbers 376, 520, 414, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 520, 414, 712 is 2.
1. What is the GCD of 376, 520, 414, 712?
GCD of given numbers 376, 520, 414, 712 is 2
2. How to calculate the greatest common divisor of 376, 520, 414, 712?
We can find the highest common divisor of 376, 520, 414, 712 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 376, 520, 414, 712 i.e 2.
3. How can I use the GCD of 376, 520, 414, 712Calculator?
Out the numbers 376, 520, 414, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.