Online GCD Calculator is useful to find the GCD of 820, 735, 759, 952 quickly. Get the easiest ways to solve the greatest common divisor of 820, 735, 759, 952 i.e 1 in different methods as follows.
Given Input numbers are 820, 735, 759, 952
In the factoring method, we have to find the divisors of all numbers
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
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 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
GCD of numbers is the greatest common divisor
So, the GCD (820, 735, 759, 952) = 1.
Given numbers are 820, 735, 759, 952
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 759 are 3 x 11 x 23
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 735, 759, 952
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 735) = 120540
GCD(820, 735) = ( 820 x 735 ) / 120540
= 820 / 735
= 820
Step2:
LCM(5, 759) = 3795
GCD(5, 759) = ( 5 x 759 ) / 3795
= 5 / 759
= 5
Step3:
LCM(1, 952) = 952
GCD(1, 952) = ( 1 x 952 ) / 952
= 1 / 952
= 1
So, Greatest Common Divisor of 820, 735, 759, 952 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 735, 759, 952
The greatest common divisor of numbers 820, 735, 759, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 735, 759, 952 is 1.
1. What is the GCD of 820, 735, 759, 952?
GCD of given numbers 820, 735, 759, 952 is 1
2. How to calculate the greatest common divisor of 820, 735, 759, 952?
We can find the highest common divisor of 820, 735, 759, 952 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 820, 735, 759, 952 i.e 1.
3. How can I use the GCD of 820, 735, 759, 952Calculator?
Out the numbers 820, 735, 759, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.