Online GCD Calculator is useful to find the GCD of 778, 680, 132, 822 quickly. Get the easiest ways to solve the greatest common divisor of 778, 680, 132, 822 i.e 2 in different methods as follows.
Given Input numbers are 778, 680, 132, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 778 :
The positive integer divisors of 778 that completely divides 778 are.
1, 2, 389, 778
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 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (778, 680, 132, 822) = 2.
Given numbers are 778, 680, 132, 822
The list of prime factors of all numbers are
Prime factors of 778 are 2 x 389
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21
Therefore, GCD of 778, 680, 132, 822 is 2.
Given numbers are 778, 680, 132, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(778, 680) = 264520
GCD(778, 680) = ( 778 x 680 ) / 264520
= 778 / 680
= 778
Step2:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
Step3:
LCM(2, 822) = 822
GCD(2, 822) = ( 2 x 822 ) / 822
= 2 / 822
= 2
So, Greatest Common Divisor of 778, 680, 132, 822 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 778, 680, 132, 822
The greatest common divisor of numbers 778, 680, 132, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 778, 680, 132, 822 is 2.
1. What is the GCD of 778, 680, 132, 822?
GCD of given numbers 778, 680, 132, 822 is 2
2. How to calculate the greatest common divisor of 778, 680, 132, 822?
We can find the highest common divisor of 778, 680, 132, 822 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 778, 680, 132, 822 i.e 2.
3. How can I use the GCD of 778, 680, 132, 822Calculator?
Out the numbers 778, 680, 132, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.