Online GCD Calculator is useful to find the GCD of 342, 972, 708, 951 quickly. Get the easiest ways to solve the greatest common divisor of 342, 972, 708, 951 i.e 3 in different methods as follows.
Given Input numbers are 342, 972, 708, 951
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
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 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 951 :
The positive integer divisors of 951 that completely divides 951 are.
1, 3, 317, 951
GCD of numbers is the greatest common divisor
So, the GCD (342, 972, 708, 951) = 3.
Given numbers are 342, 972, 708, 951
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 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 708 are 2 x 2 x 3 x 59
Prime factors of 951 are 3 x 317
The highest common occurrence is 31
Therefore, GCD of 342, 972, 708, 951 is 3.
Given numbers are 342, 972, 708, 951
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 972) = 18468
GCD(342, 972) = ( 342 x 972 ) / 18468
= 342 / 972
= 342
Step2:
LCM(18, 708) = 2124
GCD(18, 708) = ( 18 x 708 ) / 2124
= 18 / 708
= 18
Step3:
LCM(6, 951) = 1902
GCD(6, 951) = ( 6 x 951 ) / 1902
= 6 / 951
= 6
So, Greatest Common Divisor of 342, 972, 708, 951 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 972, 708, 951
The greatest common divisor of numbers 342, 972, 708, 951 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 972, 708, 951 is 3.
1. What is the GCD of 342, 972, 708, 951?
GCD of given numbers 342, 972, 708, 951 is 3
2. How to calculate the greatest common divisor of 342, 972, 708, 951?
We can find the highest common divisor of 342, 972, 708, 951 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 342, 972, 708, 951 i.e 3.
3. How can I use the GCD of 342, 972, 708, 951Calculator?
Out the numbers 342, 972, 708, 951 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.