Online GCD Calculator is useful to find the GCD of 125, 350, 542, 214 quickly. Get the easiest ways to solve the greatest common divisor of 125, 350, 542, 214 i.e 1 in different methods as follows.
Given Input numbers are 125, 350, 542, 214
In the factoring method, we have to find the divisors of all numbers
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
GCD of numbers is the greatest common divisor
So, the GCD (125, 350, 542, 214) = 1.
Given numbers are 125, 350, 542, 214
The list of prime factors of all numbers are
Prime factors of 125 are 5 x 5 x 5
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 542 are 2 x 271
Prime factors of 214 are 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 125, 350, 542, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(125, 350) = 1750
GCD(125, 350) = ( 125 x 350 ) / 1750
= 125 / 350
= 125
Step2:
LCM(25, 542) = 13550
GCD(25, 542) = ( 25 x 542 ) / 13550
= 25 / 542
= 25
Step3:
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
= 1 / 214
= 1
So, Greatest Common Divisor of 125, 350, 542, 214 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 125, 350, 542, 214
The greatest common divisor of numbers 125, 350, 542, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 350, 542, 214 is 1.
1. What is the GCD of 125, 350, 542, 214?
GCD of given numbers 125, 350, 542, 214 is 1
2. How to calculate the greatest common divisor of 125, 350, 542, 214?
We can find the highest common divisor of 125, 350, 542, 214 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 125, 350, 542, 214 i.e 1.
3. How can I use the GCD of 125, 350, 542, 214Calculator?
Out the numbers 125, 350, 542, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.