Online GCD Calculator is useful to find the GCD of 420, 560, 514, 107 quickly. Get the easiest ways to solve the greatest common divisor of 420, 560, 514, 107 i.e 1 in different methods as follows.
Given Input numbers are 420, 560, 514, 107
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 514 :
The positive integer divisors of 514 that completely divides 514 are.
1, 2, 257, 514
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
GCD of numbers is the greatest common divisor
So, the GCD (420, 560, 514, 107) = 1.
Given numbers are 420, 560, 514, 107
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 514 are 2 x 257
Prime factors of 107 are 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 560, 514, 107
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 560) = 1680
GCD(420, 560) = ( 420 x 560 ) / 1680
= 420 / 560
= 420
Step2:
LCM(140, 514) = 35980
GCD(140, 514) = ( 140 x 514 ) / 35980
= 140 / 514
= 140
Step3:
LCM(2, 107) = 214
GCD(2, 107) = ( 2 x 107 ) / 214
= 2 / 107
= 2
So, Greatest Common Divisor of 420, 560, 514, 107 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 560, 514, 107
The greatest common divisor of numbers 420, 560, 514, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 560, 514, 107 is 1.
1. What is the GCD of 420, 560, 514, 107?
GCD of given numbers 420, 560, 514, 107 is 1
2. How to calculate the greatest common divisor of 420, 560, 514, 107?
We can find the highest common divisor of 420, 560, 514, 107 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 420, 560, 514, 107 i.e 1.
3. How can I use the GCD of 420, 560, 514, 107Calculator?
Out the numbers 420, 560, 514, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.