Online GCD Calculator is useful to find the GCD of 737, 116, 174, 140 quickly. Get the easiest ways to solve the greatest common divisor of 737, 116, 174, 140 i.e 1 in different methods as follows.
Given Input numbers are 737, 116, 174, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (737, 116, 174, 140) = 1.
Given numbers are 737, 116, 174, 140
The list of prime factors of all numbers are
Prime factors of 737 are 11 x 67
Prime factors of 116 are 2 x 2 x 29
Prime factors of 174 are 2 x 3 x 29
Prime factors of 140 are 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 737, 116, 174, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(737, 116) = 85492
GCD(737, 116) = ( 737 x 116 ) / 85492
= 737 / 116
= 737
Step2:
LCM(1, 174) = 174
GCD(1, 174) = ( 1 x 174 ) / 174
= 1 / 174
= 1
Step3:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
So, Greatest Common Divisor of 737, 116, 174, 140 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 737, 116, 174, 140
The greatest common divisor of numbers 737, 116, 174, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 737, 116, 174, 140 is 1.
1. What is the GCD of 737, 116, 174, 140?
GCD of given numbers 737, 116, 174, 140 is 1
2. How to calculate the greatest common divisor of 737, 116, 174, 140?
We can find the highest common divisor of 737, 116, 174, 140 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 737, 116, 174, 140 i.e 1.
3. How can I use the GCD of 737, 116, 174, 140Calculator?
Out the numbers 737, 116, 174, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.