Online GCD Calculator is useful to find the GCD of 149, 175, 69 quickly. Get the easiest ways to solve the greatest common divisor of 149, 175, 69 i.e 1 in different methods as follows.
Given Input numbers are 149, 175, 69
In the factoring method, we have to find the divisors of all numbers
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
Divisors of 69 :
The positive integer divisors of 69 that completely divides 69 are.
1, 3, 23, 69
GCD of numbers is the greatest common divisor
So, the GCD (149, 175, 69) = 1.
Given numbers are 149, 175, 69
The list of prime factors of all numbers are
Prime factors of 149 are 149
Prime factors of 175 are 5 x 5 x 7
Prime factors of 69 are 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 149, 175, 69
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(149, 175) = 26075
GCD(149, 175) = ( 149 x 175 ) / 26075
= 149 / 175
= 149
Step2:
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
= 1 / 69
= 1
So, Greatest Common Divisor of 149, 175, 69 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 149, 175, 69
The greatest common divisor of numbers 149, 175, 69 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 175, 69 is 1.
1. What is the GCD of 149, 175, 69?
GCD of given numbers 149, 175, 69 is 1
2. How to calculate the greatest common divisor of 149, 175, 69?
We can find the highest common divisor of 149, 175, 69 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 149, 175, 69 i.e 1.
3. How can I use the GCD of 149, 175, 69Calculator?
Out the numbers 149, 175, 69 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.