Online GCD Calculator is useful to find the GCD of 240, 692, 741, 349 quickly. Get the easiest ways to solve the greatest common divisor of 240, 692, 741, 349 i.e 1 in different methods as follows.
Given Input numbers are 240, 692, 741, 349
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
GCD of numbers is the greatest common divisor
So, the GCD (240, 692, 741, 349) = 1.
Given numbers are 240, 692, 741, 349
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 692 are 2 x 2 x 173
Prime factors of 741 are 3 x 13 x 19
Prime factors of 349 are 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 240, 692, 741, 349
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 692) = 41520
GCD(240, 692) = ( 240 x 692 ) / 41520
= 240 / 692
= 240
Step2:
LCM(4, 741) = 2964
GCD(4, 741) = ( 4 x 741 ) / 2964
= 4 / 741
= 4
Step3:
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
= 1 / 349
= 1
So, Greatest Common Divisor of 240, 692, 741, 349 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 692, 741, 349
The greatest common divisor of numbers 240, 692, 741, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 692, 741, 349 is 1.
1. What is the GCD of 240, 692, 741, 349?
GCD of given numbers 240, 692, 741, 349 is 1
2. How to calculate the greatest common divisor of 240, 692, 741, 349?
We can find the highest common divisor of 240, 692, 741, 349 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 240, 692, 741, 349 i.e 1.
3. How can I use the GCD of 240, 692, 741, 349Calculator?
Out the numbers 240, 692, 741, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.