Online GCD Calculator is useful to find the GCD of 240, 275, 736, 374 quickly. Get the easiest ways to solve the greatest common divisor of 240, 275, 736, 374 i.e 1 in different methods as follows.
Given Input numbers are 240, 275, 736, 374
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 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
GCD of numbers is the greatest common divisor
So, the GCD (240, 275, 736, 374) = 1.
Given numbers are 240, 275, 736, 374
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 275 are 5 x 5 x 11
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 374 are 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 240, 275, 736, 374
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 275) = 13200
GCD(240, 275) = ( 240 x 275 ) / 13200
= 240 / 275
= 240
Step2:
LCM(5, 736) = 3680
GCD(5, 736) = ( 5 x 736 ) / 3680
= 5 / 736
= 5
Step3:
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
= 1 / 374
= 1
So, Greatest Common Divisor of 240, 275, 736, 374 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 275, 736, 374
The greatest common divisor of numbers 240, 275, 736, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 275, 736, 374 is 1.
1. What is the GCD of 240, 275, 736, 374?
GCD of given numbers 240, 275, 736, 374 is 1
2. How to calculate the greatest common divisor of 240, 275, 736, 374?
We can find the highest common divisor of 240, 275, 736, 374 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, 275, 736, 374 i.e 1.
3. How can I use the GCD of 240, 275, 736, 374Calculator?
Out the numbers 240, 275, 736, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.