Online GCD Calculator is useful to find the GCD of 660, 138, 780, 760 quickly. Get the easiest ways to solve the greatest common divisor of 660, 138, 780, 760 i.e 2 in different methods as follows.
Given Input numbers are 660, 138, 780, 760
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
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
GCD of numbers is the greatest common divisor
So, the GCD (660, 138, 780, 760) = 2.
Given numbers are 660, 138, 780, 760
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 138 are 2 x 3 x 23
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 660, 138, 780, 760 is 2.
Given numbers are 660, 138, 780, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 138) = 15180
GCD(660, 138) = ( 660 x 138 ) / 15180
= 660 / 138
= 660
Step2:
LCM(6, 780) = 780
GCD(6, 780) = ( 6 x 780 ) / 780
= 6 / 780
= 6
Step3:
LCM(6, 760) = 2280
GCD(6, 760) = ( 6 x 760 ) / 2280
= 6 / 760
= 6
So, Greatest Common Divisor of 660, 138, 780, 760 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 138, 780, 760
The greatest common divisor of numbers 660, 138, 780, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 138, 780, 760 is 2.
1. What is the GCD of 660, 138, 780, 760?
GCD of given numbers 660, 138, 780, 760 is 2
2. How to calculate the greatest common divisor of 660, 138, 780, 760?
We can find the highest common divisor of 660, 138, 780, 760 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 660, 138, 780, 760 i.e 2.
3. How can I use the GCD of 660, 138, 780, 760Calculator?
Out the numbers 660, 138, 780, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.