Online GCD Calculator is useful to find the GCD of 752, 175, 169, 213 quickly. Get the easiest ways to solve the greatest common divisor of 752, 175, 169, 213 i.e 1 in different methods as follows.
Given Input numbers are 752, 175, 169, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (752, 175, 169, 213) = 1.
Given numbers are 752, 175, 169, 213
The list of prime factors of all numbers are
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 175 are 5 x 5 x 7
Prime factors of 169 are 13 x 13
Prime factors of 213 are 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 752, 175, 169, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(752, 175) = 131600
GCD(752, 175) = ( 752 x 175 ) / 131600
= 752 / 175
= 752
Step2:
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
= 1 / 169
= 1
Step3:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
So, Greatest Common Divisor of 752, 175, 169, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 752, 175, 169, 213
The greatest common divisor of numbers 752, 175, 169, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 175, 169, 213 is 1.
1. What is the GCD of 752, 175, 169, 213?
GCD of given numbers 752, 175, 169, 213 is 1
2. How to calculate the greatest common divisor of 752, 175, 169, 213?
We can find the highest common divisor of 752, 175, 169, 213 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 752, 175, 169, 213 i.e 1.
3. How can I use the GCD of 752, 175, 169, 213Calculator?
Out the numbers 752, 175, 169, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.