Online GCD Calculator is useful to find the GCD of 760, 735, 399, 822 quickly. Get the easiest ways to solve the greatest common divisor of 760, 735, 399, 822 i.e 1 in different methods as follows.
Given Input numbers are 760, 735, 399, 822
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
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 (760, 735, 399, 822) = 1.
Given numbers are 760, 735, 399, 822
The list of prime factors of all numbers are
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 399 are 3 x 7 x 19
Prime factors of 822 are 2 x 3 x 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 760, 735, 399, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(760, 735) = 111720
GCD(760, 735) = ( 760 x 735 ) / 111720
= 760 / 735
= 760
Step2:
LCM(5, 399) = 1995
GCD(5, 399) = ( 5 x 399 ) / 1995
= 5 / 399
= 5
Step3:
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
= 1 / 822
= 1
So, Greatest Common Divisor of 760, 735, 399, 822 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 760, 735, 399, 822
The greatest common divisor of numbers 760, 735, 399, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 735, 399, 822 is 1.
1. What is the GCD of 760, 735, 399, 822?
GCD of given numbers 760, 735, 399, 822 is 1
2. How to calculate the greatest common divisor of 760, 735, 399, 822?
We can find the highest common divisor of 760, 735, 399, 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 760, 735, 399, 822 i.e 1.
3. How can I use the GCD of 760, 735, 399, 822Calculator?
Out the numbers 760, 735, 399, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.