Online GCD Calculator is useful to find the GCD of 124, 432, 314, 680 quickly. Get the easiest ways to solve the greatest common divisor of 124, 432, 314, 680 i.e 2 in different methods as follows.
Given Input numbers are 124, 432, 314, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (124, 432, 314, 680) = 2.
Given numbers are 124, 432, 314, 680
The list of prime factors of all numbers are
Prime factors of 124 are 2 x 2 x 31
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 314 are 2 x 157
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 124, 432, 314, 680 is 2.
Given numbers are 124, 432, 314, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(124, 432) = 13392
GCD(124, 432) = ( 124 x 432 ) / 13392
= 124 / 432
= 124
Step2:
LCM(4, 314) = 628
GCD(4, 314) = ( 4 x 314 ) / 628
= 4 / 314
= 4
Step3:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
So, Greatest Common Divisor of 124, 432, 314, 680 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 124, 432, 314, 680
The greatest common divisor of numbers 124, 432, 314, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 432, 314, 680 is 2.
1. What is the GCD of 124, 432, 314, 680?
GCD of given numbers 124, 432, 314, 680 is 2
2. How to calculate the greatest common divisor of 124, 432, 314, 680?
We can find the highest common divisor of 124, 432, 314, 680 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 124, 432, 314, 680 i.e 2.
3. How can I use the GCD of 124, 432, 314, 680Calculator?
Out the numbers 124, 432, 314, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.