Online GCD Calculator is useful to find the GCD of 746, 490, 770, 796 quickly. Get the easiest ways to solve the greatest common divisor of 746, 490, 770, 796 i.e 2 in different methods as follows.
Given Input numbers are 746, 490, 770, 796
In the factoring method, we have to find the divisors of all numbers
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
GCD of numbers is the greatest common divisor
So, the GCD (746, 490, 770, 796) = 2.
Given numbers are 746, 490, 770, 796
The list of prime factors of all numbers are
Prime factors of 746 are 2 x 373
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 796 are 2 x 2 x 199
The highest common occurrence is 21
Therefore, GCD of 746, 490, 770, 796 is 2.
Given numbers are 746, 490, 770, 796
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(746, 490) = 182770
GCD(746, 490) = ( 746 x 490 ) / 182770
= 746 / 490
= 746
Step2:
LCM(2, 770) = 770
GCD(2, 770) = ( 2 x 770 ) / 770
= 2 / 770
= 2
Step3:
LCM(2, 796) = 796
GCD(2, 796) = ( 2 x 796 ) / 796
= 2 / 796
= 2
So, Greatest Common Divisor of 746, 490, 770, 796 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 746, 490, 770, 796
The greatest common divisor of numbers 746, 490, 770, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 490, 770, 796 is 2.
1. What is the GCD of 746, 490, 770, 796?
GCD of given numbers 746, 490, 770, 796 is 2
2. How to calculate the greatest common divisor of 746, 490, 770, 796?
We can find the highest common divisor of 746, 490, 770, 796 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 746, 490, 770, 796 i.e 2.
3. How can I use the GCD of 746, 490, 770, 796Calculator?
Out the numbers 746, 490, 770, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.