Online GCD Calculator is useful to find the GCD of 172, 840, 660, 972 quickly. Get the easiest ways to solve the greatest common divisor of 172, 840, 660, 972 i.e 4 in different methods as follows.
Given Input numbers are 172, 840, 660, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
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
GCD of numbers is the greatest common divisor
So, the GCD (172, 840, 660, 972) = 4.
Given numbers are 172, 840, 660, 972
The list of prime factors of all numbers are
Prime factors of 172 are 2 x 2 x 43
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 172, 840, 660, 972 is 4.
Given numbers are 172, 840, 660, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(172, 840) = 36120
GCD(172, 840) = ( 172 x 840 ) / 36120
= 172 / 840
= 172
Step2:
LCM(4, 660) = 660
GCD(4, 660) = ( 4 x 660 ) / 660
= 4 / 660
= 4
Step3:
LCM(4, 972) = 972
GCD(4, 972) = ( 4 x 972 ) / 972
= 4 / 972
= 4
So, Greatest Common Divisor of 172, 840, 660, 972 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 172, 840, 660, 972
The greatest common divisor of numbers 172, 840, 660, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 840, 660, 972 is 4.
1. What is the GCD of 172, 840, 660, 972?
GCD of given numbers 172, 840, 660, 972 is 4
2. How to calculate the greatest common divisor of 172, 840, 660, 972?
We can find the highest common divisor of 172, 840, 660, 972 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 172, 840, 660, 972 i.e 4.
3. How can I use the GCD of 172, 840, 660, 972Calculator?
Out the numbers 172, 840, 660, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.