Online GCD Calculator is useful to find the GCD of 945, 742, 105 quickly. Get the easiest ways to solve the greatest common divisor of 945, 742, 105 i.e 7 in different methods as follows.
Given Input numbers are 945, 742, 105
In the factoring method, we have to find the divisors of all numbers
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (945, 742, 105) = 7.
Given numbers are 945, 742, 105
The list of prime factors of all numbers are
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 742 are 2 x 7 x 53
Prime factors of 105 are 3 x 5 x 7
The highest common occurrence is 71
Therefore, GCD of 945, 742, 105 is 7.
Given numbers are 945, 742, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(945, 742) = 100170
GCD(945, 742) = ( 945 x 742 ) / 100170
= 945 / 742
= 945
Step2:
LCM(7, 105) = 105
GCD(7, 105) = ( 7 x 105 ) / 105
= 7 / 105
= 7
So, Greatest Common Divisor of 945, 742, 105 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 945, 742, 105
The greatest common divisor of numbers 945, 742, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 742, 105 is 7.
1. What is the GCD of 945, 742, 105?
GCD of given numbers 945, 742, 105 is 7
2. How to calculate the greatest common divisor of 945, 742, 105?
We can find the highest common divisor of 945, 742, 105 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 945, 742, 105 i.e 7.
3. How can I use the GCD of 945, 742, 105Calculator?
Out the numbers 945, 742, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.