Online GCD Calculator is useful to find the GCD of 901, 238, 654, 746 quickly. Get the easiest ways to solve the greatest common divisor of 901, 238, 654, 746 i.e 1 in different methods as follows.
Given Input numbers are 901, 238, 654, 746
In the factoring method, we have to find the divisors of all numbers
Divisors of 901 :
The positive integer divisors of 901 that completely divides 901 are.
1, 17, 53, 901
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (901, 238, 654, 746) = 1.
Given numbers are 901, 238, 654, 746
The list of prime factors of all numbers are
Prime factors of 901 are 17 x 53
Prime factors of 238 are 2 x 7 x 17
Prime factors of 654 are 2 x 3 x 109
Prime factors of 746 are 2 x 373
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 901, 238, 654, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(901, 238) = 12614
GCD(901, 238) = ( 901 x 238 ) / 12614
= 901 / 238
= 901
Step2:
LCM(17, 654) = 11118
GCD(17, 654) = ( 17 x 654 ) / 11118
= 17 / 654
= 17
Step3:
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
= 1 / 746
= 1
So, Greatest Common Divisor of 901, 238, 654, 746 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 901, 238, 654, 746
The greatest common divisor of numbers 901, 238, 654, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 901, 238, 654, 746 is 1.
1. What is the GCD of 901, 238, 654, 746?
GCD of given numbers 901, 238, 654, 746 is 1
2. How to calculate the greatest common divisor of 901, 238, 654, 746?
We can find the highest common divisor of 901, 238, 654, 746 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 901, 238, 654, 746 i.e 1.
3. How can I use the GCD of 901, 238, 654, 746Calculator?
Out the numbers 901, 238, 654, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.