Online GCD Calculator is useful to find the GCD of 918, 759, 735, 420 quickly. Get the easiest ways to solve the greatest common divisor of 918, 759, 735, 420 i.e 3 in different methods as follows.
Given Input numbers are 918, 759, 735, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (918, 759, 735, 420) = 3.
Given numbers are 918, 759, 735, 420
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 759 are 3 x 11 x 23
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 918, 759, 735, 420 is 3.
Given numbers are 918, 759, 735, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 759) = 232254
GCD(918, 759) = ( 918 x 759 ) / 232254
= 918 / 759
= 918
Step2:
LCM(3, 735) = 735
GCD(3, 735) = ( 3 x 735 ) / 735
= 3 / 735
= 3
Step3:
LCM(3, 420) = 420
GCD(3, 420) = ( 3 x 420 ) / 420
= 3 / 420
= 3
So, Greatest Common Divisor of 918, 759, 735, 420 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 759, 735, 420
The greatest common divisor of numbers 918, 759, 735, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 759, 735, 420 is 3.
1. What is the GCD of 918, 759, 735, 420?
GCD of given numbers 918, 759, 735, 420 is 3
2. How to calculate the greatest common divisor of 918, 759, 735, 420?
We can find the highest common divisor of 918, 759, 735, 420 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 918, 759, 735, 420 i.e 3.
3. How can I use the GCD of 918, 759, 735, 420Calculator?
Out the numbers 918, 759, 735, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.