Online GCD Calculator is useful to find the GCD of 972, 304, 847, 434 quickly. Get the easiest ways to solve the greatest common divisor of 972, 304, 847, 434 i.e 1 in different methods as follows.
Given Input numbers are 972, 304, 847, 434
In the factoring method, we have to find the divisors of all numbers
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 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 847 :
The positive integer divisors of 847 that completely divides 847 are.
1, 7, 11, 77, 121, 847
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
GCD of numbers is the greatest common divisor
So, the GCD (972, 304, 847, 434) = 1.
Given numbers are 972, 304, 847, 434
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 847 are 7 x 11 x 11
Prime factors of 434 are 2 x 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 304, 847, 434
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 304) = 73872
GCD(972, 304) = ( 972 x 304 ) / 73872
= 972 / 304
= 972
Step2:
LCM(4, 847) = 3388
GCD(4, 847) = ( 4 x 847 ) / 3388
= 4 / 847
= 4
Step3:
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
= 1 / 434
= 1
So, Greatest Common Divisor of 972, 304, 847, 434 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 304, 847, 434
The greatest common divisor of numbers 972, 304, 847, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 304, 847, 434 is 1.
1. What is the GCD of 972, 304, 847, 434?
GCD of given numbers 972, 304, 847, 434 is 1
2. How to calculate the greatest common divisor of 972, 304, 847, 434?
We can find the highest common divisor of 972, 304, 847, 434 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 972, 304, 847, 434 i.e 1.
3. How can I use the GCD of 972, 304, 847, 434Calculator?
Out the numbers 972, 304, 847, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.