Online GCD Calculator is useful to find the GCD of 746, 420, 504, 103 quickly. Get the easiest ways to solve the greatest common divisor of 746, 420, 504, 103 i.e 1 in different methods as follows.
Given Input numbers are 746, 420, 504, 103
In the factoring method, we have to find the divisors of all numbers
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
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 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 103 :
The positive integer divisors of 103 that completely divides 103 are.
1, 103
GCD of numbers is the greatest common divisor
So, the GCD (746, 420, 504, 103) = 1.
Given numbers are 746, 420, 504, 103
The list of prime factors of all numbers are
Prime factors of 746 are 2 x 373
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 103 are 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 746, 420, 504, 103
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(746, 420) = 156660
GCD(746, 420) = ( 746 x 420 ) / 156660
= 746 / 420
= 746
Step2:
LCM(2, 504) = 504
GCD(2, 504) = ( 2 x 504 ) / 504
= 2 / 504
= 2
Step3:
LCM(2, 103) = 206
GCD(2, 103) = ( 2 x 103 ) / 206
= 2 / 103
= 2
So, Greatest Common Divisor of 746, 420, 504, 103 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 746, 420, 504, 103
The greatest common divisor of numbers 746, 420, 504, 103 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 420, 504, 103 is 1.
1. What is the GCD of 746, 420, 504, 103?
GCD of given numbers 746, 420, 504, 103 is 1
2. How to calculate the greatest common divisor of 746, 420, 504, 103?
We can find the highest common divisor of 746, 420, 504, 103 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 746, 420, 504, 103 i.e 1.
3. How can I use the GCD of 746, 420, 504, 103Calculator?
Out the numbers 746, 420, 504, 103 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.