Online GCD Calculator is useful to find the GCD of 351, 300, 940, 735 quickly. Get the easiest ways to solve the greatest common divisor of 351, 300, 940, 735 i.e 1 in different methods as follows.
Given Input numbers are 351, 300, 940, 735
In the factoring method, we have to find the divisors of all numbers
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
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
GCD of numbers is the greatest common divisor
So, the GCD (351, 300, 940, 735) = 1.
Given numbers are 351, 300, 940, 735
The list of prime factors of all numbers are
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 735 are 3 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 351, 300, 940, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(351, 300) = 35100
GCD(351, 300) = ( 351 x 300 ) / 35100
= 351 / 300
= 351
Step2:
LCM(3, 940) = 2820
GCD(3, 940) = ( 3 x 940 ) / 2820
= 3 / 940
= 3
Step3:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
So, Greatest Common Divisor of 351, 300, 940, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 351, 300, 940, 735
The greatest common divisor of numbers 351, 300, 940, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 300, 940, 735 is 1.
1. What is the GCD of 351, 300, 940, 735?
GCD of given numbers 351, 300, 940, 735 is 1
2. How to calculate the greatest common divisor of 351, 300, 940, 735?
We can find the highest common divisor of 351, 300, 940, 735 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 351, 300, 940, 735 i.e 1.
3. How can I use the GCD of 351, 300, 940, 735Calculator?
Out the numbers 351, 300, 940, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.