Online GCD Calculator is useful to find the GCD of 147, 786, 351, 375 quickly. Get the easiest ways to solve the greatest common divisor of 147, 786, 351, 375 i.e 3 in different methods as follows.
Given Input numbers are 147, 786, 351, 375
In the factoring method, we have to find the divisors of all numbers
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
GCD of numbers is the greatest common divisor
So, the GCD (147, 786, 351, 375) = 3.
Given numbers are 147, 786, 351, 375
The list of prime factors of all numbers are
Prime factors of 147 are 3 x 7 x 7
Prime factors of 786 are 2 x 3 x 131
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 375 are 3 x 5 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 147, 786, 351, 375 is 3.
Given numbers are 147, 786, 351, 375
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(147, 786) = 38514
GCD(147, 786) = ( 147 x 786 ) / 38514
= 147 / 786
= 147
Step2:
LCM(3, 351) = 351
GCD(3, 351) = ( 3 x 351 ) / 351
= 3 / 351
= 3
Step3:
LCM(3, 375) = 375
GCD(3, 375) = ( 3 x 375 ) / 375
= 3 / 375
= 3
So, Greatest Common Divisor of 147, 786, 351, 375 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 147, 786, 351, 375
The greatest common divisor of numbers 147, 786, 351, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 786, 351, 375 is 3.
1. What is the GCD of 147, 786, 351, 375?
GCD of given numbers 147, 786, 351, 375 is 3
2. How to calculate the greatest common divisor of 147, 786, 351, 375?
We can find the highest common divisor of 147, 786, 351, 375 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 147, 786, 351, 375 i.e 3.
3. How can I use the GCD of 147, 786, 351, 375Calculator?
Out the numbers 147, 786, 351, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.