Online GCD Calculator is useful to find the GCD of 735, 820, 880 quickly. Get the easiest ways to solve the greatest common divisor of 735, 820, 880 i.e 5 in different methods as follows.
Given Input numbers are 735, 820, 880
In the factoring method, we have to find the divisors of all numbers
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 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 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
GCD of numbers is the greatest common divisor
So, the GCD (735, 820, 880) = 5.
Given numbers are 735, 820, 880
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 735, 820, 880 is 5.
Given numbers are 735, 820, 880
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 820) = 120540
GCD(735, 820) = ( 735 x 820 ) / 120540
= 735 / 820
= 735
Step2:
LCM(5, 880) = 880
GCD(5, 880) = ( 5 x 880 ) / 880
= 5 / 880
= 5
So, Greatest Common Divisor of 735, 820, 880 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 820, 880
The greatest common divisor of numbers 735, 820, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 820, 880 is 5.
1. What is the GCD of 735, 820, 880?
GCD of given numbers 735, 820, 880 is 5
2. How to calculate the greatest common divisor of 735, 820, 880?
We can find the highest common divisor of 735, 820, 880 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 735, 820, 880 i.e 5.
3. How can I use the GCD of 735, 820, 880Calculator?
Out the numbers 735, 820, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.