Online GCD Calculator is useful to find the GCD of 476, 742, 175, 107 quickly. Get the easiest ways to solve the greatest common divisor of 476, 742, 175, 107 i.e 1 in different methods as follows.
Given Input numbers are 476, 742, 175, 107
In the factoring method, we have to find the divisors of all numbers
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
GCD of numbers is the greatest common divisor
So, the GCD (476, 742, 175, 107) = 1.
Given numbers are 476, 742, 175, 107
The list of prime factors of all numbers are
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 742 are 2 x 7 x 53
Prime factors of 175 are 5 x 5 x 7
Prime factors of 107 are 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 476, 742, 175, 107
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(476, 742) = 25228
GCD(476, 742) = ( 476 x 742 ) / 25228
= 476 / 742
= 476
Step2:
LCM(14, 175) = 350
GCD(14, 175) = ( 14 x 175 ) / 350
= 14 / 175
= 14
Step3:
LCM(7, 107) = 749
GCD(7, 107) = ( 7 x 107 ) / 749
= 7 / 107
= 7
So, Greatest Common Divisor of 476, 742, 175, 107 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 476, 742, 175, 107
The greatest common divisor of numbers 476, 742, 175, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 742, 175, 107 is 1.
1. What is the GCD of 476, 742, 175, 107?
GCD of given numbers 476, 742, 175, 107 is 1
2. How to calculate the greatest common divisor of 476, 742, 175, 107?
We can find the highest common divisor of 476, 742, 175, 107 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 476, 742, 175, 107 i.e 1.
3. How can I use the GCD of 476, 742, 175, 107Calculator?
Out the numbers 476, 742, 175, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.