Online GCD Calculator is useful to find the GCD of 671, 420, 975, 874 quickly. Get the easiest ways to solve the greatest common divisor of 671, 420, 975, 874 i.e 1 in different methods as follows.
Given Input numbers are 671, 420, 975, 874
In the factoring method, we have to find the divisors of all numbers
Divisors of 671 :
The positive integer divisors of 671 that completely divides 671 are.
1, 11, 61, 671
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 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
GCD of numbers is the greatest common divisor
So, the GCD (671, 420, 975, 874) = 1.
Given numbers are 671, 420, 975, 874
The list of prime factors of all numbers are
Prime factors of 671 are 11 x 61
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 874 are 2 x 19 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 671, 420, 975, 874
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(671, 420) = 281820
GCD(671, 420) = ( 671 x 420 ) / 281820
= 671 / 420
= 671
Step2:
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
= 1 / 975
= 1
Step3:
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
= 1 / 874
= 1
So, Greatest Common Divisor of 671, 420, 975, 874 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 671, 420, 975, 874
The greatest common divisor of numbers 671, 420, 975, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 671, 420, 975, 874 is 1.
1. What is the GCD of 671, 420, 975, 874?
GCD of given numbers 671, 420, 975, 874 is 1
2. How to calculate the greatest common divisor of 671, 420, 975, 874?
We can find the highest common divisor of 671, 420, 975, 874 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 671, 420, 975, 874 i.e 1.
3. How can I use the GCD of 671, 420, 975, 874Calculator?
Out the numbers 671, 420, 975, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.