Online GCD Calculator is useful to find the GCD of 465, 337, 748, 707 quickly. Get the easiest ways to solve the greatest common divisor of 465, 337, 748, 707 i.e 1 in different methods as follows.
Given Input numbers are 465, 337, 748, 707
In the factoring method, we have to find the divisors of all numbers
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 337 :
The positive integer divisors of 337 that completely divides 337 are.
1, 337
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
GCD of numbers is the greatest common divisor
So, the GCD (465, 337, 748, 707) = 1.
Given numbers are 465, 337, 748, 707
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 337 are 337
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 707 are 7 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 465, 337, 748, 707
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 337) = 156705
GCD(465, 337) = ( 465 x 337 ) / 156705
= 465 / 337
= 465
Step2:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
Step3:
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
= 1 / 707
= 1
So, Greatest Common Divisor of 465, 337, 748, 707 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 465, 337, 748, 707
The greatest common divisor of numbers 465, 337, 748, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 337, 748, 707 is 1.
1. What is the GCD of 465, 337, 748, 707?
GCD of given numbers 465, 337, 748, 707 is 1
2. How to calculate the greatest common divisor of 465, 337, 748, 707?
We can find the highest common divisor of 465, 337, 748, 707 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 465, 337, 748, 707 i.e 1.
3. How can I use the GCD of 465, 337, 748, 707Calculator?
Out the numbers 465, 337, 748, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.