Online GCD Calculator is useful to find the GCD of 137, 745, 614, 921 quickly. Get the easiest ways to solve the greatest common divisor of 137, 745, 614, 921 i.e 1 in different methods as follows.
Given Input numbers are 137, 745, 614, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (137, 745, 614, 921) = 1.
Given numbers are 137, 745, 614, 921
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 745 are 5 x 149
Prime factors of 614 are 2 x 307
Prime factors of 921 are 3 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 745, 614, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 745) = 102065
GCD(137, 745) = ( 137 x 745 ) / 102065
= 137 / 745
= 137
Step2:
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
= 1 / 614
= 1
Step3:
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
= 1 / 921
= 1
So, Greatest Common Divisor of 137, 745, 614, 921 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 745, 614, 921
The greatest common divisor of numbers 137, 745, 614, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 745, 614, 921 is 1.
1. What is the GCD of 137, 745, 614, 921?
GCD of given numbers 137, 745, 614, 921 is 1
2. How to calculate the greatest common divisor of 137, 745, 614, 921?
We can find the highest common divisor of 137, 745, 614, 921 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 137, 745, 614, 921 i.e 1.
3. How can I use the GCD of 137, 745, 614, 921Calculator?
Out the numbers 137, 745, 614, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.