Online GCD Calculator is useful to find the GCD of 616, 972, 143, 745 quickly. Get the easiest ways to solve the greatest common divisor of 616, 972, 143, 745 i.e 1 in different methods as follows.
Given Input numbers are 616, 972, 143, 745
In the factoring method, we have to find the divisors of all numbers
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
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 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
GCD of numbers is the greatest common divisor
So, the GCD (616, 972, 143, 745) = 1.
Given numbers are 616, 972, 143, 745
The list of prime factors of all numbers are
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 143 are 11 x 13
Prime factors of 745 are 5 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 616, 972, 143, 745
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(616, 972) = 149688
GCD(616, 972) = ( 616 x 972 ) / 149688
= 616 / 972
= 616
Step2:
LCM(4, 143) = 572
GCD(4, 143) = ( 4 x 143 ) / 572
= 4 / 143
= 4
Step3:
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
= 1 / 745
= 1
So, Greatest Common Divisor of 616, 972, 143, 745 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 616, 972, 143, 745
The greatest common divisor of numbers 616, 972, 143, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 972, 143, 745 is 1.
1. What is the GCD of 616, 972, 143, 745?
GCD of given numbers 616, 972, 143, 745 is 1
2. How to calculate the greatest common divisor of 616, 972, 143, 745?
We can find the highest common divisor of 616, 972, 143, 745 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 616, 972, 143, 745 i.e 1.
3. How can I use the GCD of 616, 972, 143, 745Calculator?
Out the numbers 616, 972, 143, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.