Online GCD Calculator is useful to find the GCD of 740, 680, 78, 636 quickly. Get the easiest ways to solve the greatest common divisor of 740, 680, 78, 636 i.e 2 in different methods as follows.
Given Input numbers are 740, 680, 78, 636
In the factoring method, we have to find the divisors of all numbers
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
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
Divisors of 78 :
The positive integer divisors of 78 that completely divides 78 are.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
GCD of numbers is the greatest common divisor
So, the GCD (740, 680, 78, 636) = 2.
Given numbers are 740, 680, 78, 636
The list of prime factors of all numbers are
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 78 are 2 x 3 x 13
Prime factors of 636 are 2 x 2 x 3 x 53
The highest common occurrence is 21
Therefore, GCD of 740, 680, 78, 636 is 2.
Given numbers are 740, 680, 78, 636
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(740, 680) = 25160
GCD(740, 680) = ( 740 x 680 ) / 25160
= 740 / 680
= 740
Step2:
LCM(20, 78) = 780
GCD(20, 78) = ( 20 x 78 ) / 780
= 20 / 78
= 20
Step3:
LCM(2, 636) = 636
GCD(2, 636) = ( 2 x 636 ) / 636
= 2 / 636
= 2
So, Greatest Common Divisor of 740, 680, 78, 636 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 740, 680, 78, 636
The greatest common divisor of numbers 740, 680, 78, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 680, 78, 636 is 2.
1. What is the GCD of 740, 680, 78, 636?
GCD of given numbers 740, 680, 78, 636 is 2
2. How to calculate the greatest common divisor of 740, 680, 78, 636?
We can find the highest common divisor of 740, 680, 78, 636 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 740, 680, 78, 636 i.e 2.
3. How can I use the GCD of 740, 680, 78, 636Calculator?
Out the numbers 740, 680, 78, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.