Online GCD Calculator is useful to find the GCD of 942, 912, 972, 720 quickly. Get the easiest ways to solve the greatest common divisor of 942, 912, 972, 720 i.e 6 in different methods as follows.
Given Input numbers are 942, 912, 972, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (942, 912, 972, 720) = 6.
Given numbers are 942, 912, 972, 720
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21 x 31
Therefore, GCD of 942, 912, 972, 720 is 6.
Given numbers are 942, 912, 972, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 912) = 143184
GCD(942, 912) = ( 942 x 912 ) / 143184
= 942 / 912
= 942
Step2:
LCM(6, 972) = 972
GCD(6, 972) = ( 6 x 972 ) / 972
= 6 / 972
= 6
Step3:
LCM(6, 720) = 720
GCD(6, 720) = ( 6 x 720 ) / 720
= 6 / 720
= 6
So, Greatest Common Divisor of 942, 912, 972, 720 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 912, 972, 720
The greatest common divisor of numbers 942, 912, 972, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 912, 972, 720 is 6.
1. What is the GCD of 942, 912, 972, 720?
GCD of given numbers 942, 912, 972, 720 is 6
2. How to calculate the greatest common divisor of 942, 912, 972, 720?
We can find the highest common divisor of 942, 912, 972, 720 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 942, 912, 972, 720 i.e 6.
3. How can I use the GCD of 942, 912, 972, 720Calculator?
Out the numbers 942, 912, 972, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.