Online GCD Calculator is useful to find the GCD of 374, 278, 730, 660 quickly. Get the easiest ways to solve the greatest common divisor of 374, 278, 730, 660 i.e 2 in different methods as follows.
Given Input numbers are 374, 278, 730, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (374, 278, 730, 660) = 2.
Given numbers are 374, 278, 730, 660
The list of prime factors of all numbers are
Prime factors of 374 are 2 x 11 x 17
Prime factors of 278 are 2 x 139
Prime factors of 730 are 2 x 5 x 73
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 374, 278, 730, 660 is 2.
Given numbers are 374, 278, 730, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(374, 278) = 51986
GCD(374, 278) = ( 374 x 278 ) / 51986
= 374 / 278
= 374
Step2:
LCM(2, 730) = 730
GCD(2, 730) = ( 2 x 730 ) / 730
= 2 / 730
= 2
Step3:
LCM(2, 660) = 660
GCD(2, 660) = ( 2 x 660 ) / 660
= 2 / 660
= 2
So, Greatest Common Divisor of 374, 278, 730, 660 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 374, 278, 730, 660
The greatest common divisor of numbers 374, 278, 730, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 278, 730, 660 is 2.
1. What is the GCD of 374, 278, 730, 660?
GCD of given numbers 374, 278, 730, 660 is 2
2. How to calculate the greatest common divisor of 374, 278, 730, 660?
We can find the highest common divisor of 374, 278, 730, 660 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 374, 278, 730, 660 i.e 2.
3. How can I use the GCD of 374, 278, 730, 660Calculator?
Out the numbers 374, 278, 730, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.