Online GCD Calculator is useful to find the GCD of 782, 688, 514, 680 quickly. Get the easiest ways to solve the greatest common divisor of 782, 688, 514, 680 i.e 2 in different methods as follows.
Given Input numbers are 782, 688, 514, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 514 :
The positive integer divisors of 514 that completely divides 514 are.
1, 2, 257, 514
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (782, 688, 514, 680) = 2.
Given numbers are 782, 688, 514, 680
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 514 are 2 x 257
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 782, 688, 514, 680 is 2.
Given numbers are 782, 688, 514, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 688) = 269008
GCD(782, 688) = ( 782 x 688 ) / 269008
= 782 / 688
= 782
Step2:
LCM(2, 514) = 514
GCD(2, 514) = ( 2 x 514 ) / 514
= 2 / 514
= 2
Step3:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
So, Greatest Common Divisor of 782, 688, 514, 680 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 782, 688, 514, 680
The greatest common divisor of numbers 782, 688, 514, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 688, 514, 680 is 2.
1. What is the GCD of 782, 688, 514, 680?
GCD of given numbers 782, 688, 514, 680 is 2
2. How to calculate the greatest common divisor of 782, 688, 514, 680?
We can find the highest common divisor of 782, 688, 514, 680 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 782, 688, 514, 680 i.e 2.
3. How can I use the GCD of 782, 688, 514, 680Calculator?
Out the numbers 782, 688, 514, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.