Online GCD Calculator is useful to find the GCD of 756, 254, 77, 820 quickly. Get the easiest ways to solve the greatest common divisor of 756, 254, 77, 820 i.e 1 in different methods as follows.
Given Input numbers are 756, 254, 77, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 254 :
The positive integer divisors of 254 that completely divides 254 are.
1, 2, 127, 254
Divisors of 77 :
The positive integer divisors of 77 that completely divides 77 are.
1, 7, 11, 77
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (756, 254, 77, 820) = 1.
Given numbers are 756, 254, 77, 820
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 254 are 2 x 127
Prime factors of 77 are 7 x 11
Prime factors of 820 are 2 x 2 x 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 756, 254, 77, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 254) = 96012
GCD(756, 254) = ( 756 x 254 ) / 96012
= 756 / 254
= 756
Step2:
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
= 2 / 77
= 2
Step3:
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
= 1 / 820
= 1
So, Greatest Common Divisor of 756, 254, 77, 820 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 254, 77, 820
The greatest common divisor of numbers 756, 254, 77, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 254, 77, 820 is 1.
1. What is the GCD of 756, 254, 77, 820?
GCD of given numbers 756, 254, 77, 820 is 1
2. How to calculate the greatest common divisor of 756, 254, 77, 820?
We can find the highest common divisor of 756, 254, 77, 820 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 756, 254, 77, 820 i.e 1.
3. How can I use the GCD of 756, 254, 77, 820Calculator?
Out the numbers 756, 254, 77, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.