Online GCD Calculator is useful to find the GCD of 676, 716, 720, 612 quickly. Get the easiest ways to solve the greatest common divisor of 676, 716, 720, 612 i.e 4 in different methods as follows.
Given Input numbers are 676, 716, 720, 612
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
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 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
GCD of numbers is the greatest common divisor
So, the GCD (676, 716, 720, 612) = 4.
Given numbers are 676, 716, 720, 612
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 716 are 2 x 2 x 179
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
The highest common occurrence is 22
Therefore, GCD of 676, 716, 720, 612 is 4.
Given numbers are 676, 716, 720, 612
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 716) = 121004
GCD(676, 716) = ( 676 x 716 ) / 121004
= 676 / 716
= 676
Step2:
LCM(4, 720) = 720
GCD(4, 720) = ( 4 x 720 ) / 720
= 4 / 720
= 4
Step3:
LCM(4, 612) = 612
GCD(4, 612) = ( 4 x 612 ) / 612
= 4 / 612
= 4
So, Greatest Common Divisor of 676, 716, 720, 612 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 716, 720, 612
The greatest common divisor of numbers 676, 716, 720, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 716, 720, 612 is 4.
1. What is the GCD of 676, 716, 720, 612?
GCD of given numbers 676, 716, 720, 612 is 4
2. How to calculate the greatest common divisor of 676, 716, 720, 612?
We can find the highest common divisor of 676, 716, 720, 612 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 676, 716, 720, 612 i.e 4.
3. How can I use the GCD of 676, 716, 720, 612Calculator?
Out the numbers 676, 716, 720, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.