Online GCD Calculator is useful to find the GCD of 274, 732, 725, 791 quickly. Get the easiest ways to solve the greatest common divisor of 274, 732, 725, 791 i.e 1 in different methods as follows.
Given Input numbers are 274, 732, 725, 791
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 791 :
The positive integer divisors of 791 that completely divides 791 are.
1, 7, 113, 791
GCD of numbers is the greatest common divisor
So, the GCD (274, 732, 725, 791) = 1.
Given numbers are 274, 732, 725, 791
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 725 are 5 x 5 x 29
Prime factors of 791 are 7 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 274, 732, 725, 791
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 732) = 100284
GCD(274, 732) = ( 274 x 732 ) / 100284
= 274 / 732
= 274
Step2:
LCM(2, 725) = 1450
GCD(2, 725) = ( 2 x 725 ) / 1450
= 2 / 725
= 2
Step3:
LCM(1, 791) = 791
GCD(1, 791) = ( 1 x 791 ) / 791
= 1 / 791
= 1
So, Greatest Common Divisor of 274, 732, 725, 791 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 732, 725, 791
The greatest common divisor of numbers 274, 732, 725, 791 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 732, 725, 791 is 1.
1. What is the GCD of 274, 732, 725, 791?
GCD of given numbers 274, 732, 725, 791 is 1
2. How to calculate the greatest common divisor of 274, 732, 725, 791?
We can find the highest common divisor of 274, 732, 725, 791 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 274, 732, 725, 791 i.e 1.
3. How can I use the GCD of 274, 732, 725, 791Calculator?
Out the numbers 274, 732, 725, 791 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.