Online GCD Calculator is useful to find the GCD of 172, 150, 970, 782 quickly. Get the easiest ways to solve the greatest common divisor of 172, 150, 970, 782 i.e 2 in different methods as follows.
Given Input numbers are 172, 150, 970, 782
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 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
GCD of numbers is the greatest common divisor
So, the GCD (172, 150, 970, 782) = 2.
Given numbers are 172, 150, 970, 782
The list of prime factors of all numbers are
Prime factors of 172 are 2 x 2 x 43
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 970 are 2 x 5 x 97
Prime factors of 782 are 2 x 17 x 23
The highest common occurrence is 21
Therefore, GCD of 172, 150, 970, 782 is 2.
Given numbers are 172, 150, 970, 782
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(172, 150) = 12900
GCD(172, 150) = ( 172 x 150 ) / 12900
= 172 / 150
= 172
Step2:
LCM(2, 970) = 970
GCD(2, 970) = ( 2 x 970 ) / 970
= 2 / 970
= 2
Step3:
LCM(2, 782) = 782
GCD(2, 782) = ( 2 x 782 ) / 782
= 2 / 782
= 2
So, Greatest Common Divisor of 172, 150, 970, 782 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 172, 150, 970, 782
The greatest common divisor of numbers 172, 150, 970, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 150, 970, 782 is 2.
1. What is the GCD of 172, 150, 970, 782?
GCD of given numbers 172, 150, 970, 782 is 2
2. How to calculate the greatest common divisor of 172, 150, 970, 782?
We can find the highest common divisor of 172, 150, 970, 782 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, 150, 970, 782 i.e 2.
3. How can I use the GCD of 172, 150, 970, 782Calculator?
Out the numbers 172, 150, 970, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.