Online GCD Calculator is useful to find the GCD of 790, 730, 274, 674 quickly. Get the easiest ways to solve the greatest common divisor of 790, 730, 274, 674 i.e 2 in different methods as follows.
Given Input numbers are 790, 730, 274, 674
In the factoring method, we have to find the divisors of all numbers
Divisors of 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
GCD of numbers is the greatest common divisor
So, the GCD (790, 730, 274, 674) = 2.
Given numbers are 790, 730, 274, 674
The list of prime factors of all numbers are
Prime factors of 790 are 2 x 5 x 79
Prime factors of 730 are 2 x 5 x 73
Prime factors of 274 are 2 x 137
Prime factors of 674 are 2 x 337
The highest common occurrence is 21
Therefore, GCD of 790, 730, 274, 674 is 2.
Given numbers are 790, 730, 274, 674
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(790, 730) = 57670
GCD(790, 730) = ( 790 x 730 ) / 57670
= 790 / 730
= 790
Step2:
LCM(10, 274) = 1370
GCD(10, 274) = ( 10 x 274 ) / 1370
= 10 / 274
= 10
Step3:
LCM(2, 674) = 674
GCD(2, 674) = ( 2 x 674 ) / 674
= 2 / 674
= 2
So, Greatest Common Divisor of 790, 730, 274, 674 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 790, 730, 274, 674
The greatest common divisor of numbers 790, 730, 274, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 730, 274, 674 is 2.
1. What is the GCD of 790, 730, 274, 674?
GCD of given numbers 790, 730, 274, 674 is 2
2. How to calculate the greatest common divisor of 790, 730, 274, 674?
We can find the highest common divisor of 790, 730, 274, 674 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 790, 730, 274, 674 i.e 2.
3. How can I use the GCD of 790, 730, 274, 674Calculator?
Out the numbers 790, 730, 274, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.