Online GCD Calculator is useful to find the GCD of 760, 720, 646, 290 quickly. Get the easiest ways to solve the greatest common divisor of 760, 720, 646, 290 i.e 2 in different methods as follows.
Given Input numbers are 760, 720, 646, 290
In the factoring method, we have to find the divisors of all numbers
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
GCD of numbers is the greatest common divisor
So, the GCD (760, 720, 646, 290) = 2.
Given numbers are 760, 720, 646, 290
The list of prime factors of all numbers are
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 646 are 2 x 17 x 19
Prime factors of 290 are 2 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 760, 720, 646, 290 is 2.
Given numbers are 760, 720, 646, 290
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(760, 720) = 13680
GCD(760, 720) = ( 760 x 720 ) / 13680
= 760 / 720
= 760
Step2:
LCM(40, 646) = 12920
GCD(40, 646) = ( 40 x 646 ) / 12920
= 40 / 646
= 40
Step3:
LCM(2, 290) = 290
GCD(2, 290) = ( 2 x 290 ) / 290
= 2 / 290
= 2
So, Greatest Common Divisor of 760, 720, 646, 290 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 760, 720, 646, 290
The greatest common divisor of numbers 760, 720, 646, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 720, 646, 290 is 2.
1. What is the GCD of 760, 720, 646, 290?
GCD of given numbers 760, 720, 646, 290 is 2
2. How to calculate the greatest common divisor of 760, 720, 646, 290?
We can find the highest common divisor of 760, 720, 646, 290 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 760, 720, 646, 290 i.e 2.
3. How can I use the GCD of 760, 720, 646, 290Calculator?
Out the numbers 760, 720, 646, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.