Online GCD Calculator is useful to find the GCD of 942, 414, 897, 147 quickly. Get the easiest ways to solve the greatest common divisor of 942, 414, 897, 147 i.e 3 in different methods as follows.
Given Input numbers are 942, 414, 897, 147
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 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
GCD of numbers is the greatest common divisor
So, the GCD (942, 414, 897, 147) = 3.
Given numbers are 942, 414, 897, 147
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 897 are 3 x 13 x 23
Prime factors of 147 are 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 942, 414, 897, 147 is 3.
Given numbers are 942, 414, 897, 147
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 414) = 64998
GCD(942, 414) = ( 942 x 414 ) / 64998
= 942 / 414
= 942
Step2:
LCM(6, 897) = 1794
GCD(6, 897) = ( 6 x 897 ) / 1794
= 6 / 897
= 6
Step3:
LCM(3, 147) = 147
GCD(3, 147) = ( 3 x 147 ) / 147
= 3 / 147
= 3
So, Greatest Common Divisor of 942, 414, 897, 147 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 414, 897, 147
The greatest common divisor of numbers 942, 414, 897, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 414, 897, 147 is 3.
1. What is the GCD of 942, 414, 897, 147?
GCD of given numbers 942, 414, 897, 147 is 3
2. How to calculate the greatest common divisor of 942, 414, 897, 147?
We can find the highest common divisor of 942, 414, 897, 147 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, 414, 897, 147 i.e 3.
3. How can I use the GCD of 942, 414, 897, 147Calculator?
Out the numbers 942, 414, 897, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.