Online GCD Calculator is useful to find the GCD of 645, 316, 680, 735 quickly. Get the easiest ways to solve the greatest common divisor of 645, 316, 680, 735 i.e 1 in different methods as follows.
Given Input numbers are 645, 316, 680, 735
In the factoring method, we have to find the divisors of all numbers
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
GCD of numbers is the greatest common divisor
So, the GCD (645, 316, 680, 735) = 1.
Given numbers are 645, 316, 680, 735
The list of prime factors of all numbers are
Prime factors of 645 are 3 x 5 x 43
Prime factors of 316 are 2 x 2 x 79
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 735 are 3 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 645, 316, 680, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(645, 316) = 203820
GCD(645, 316) = ( 645 x 316 ) / 203820
= 645 / 316
= 645
Step2:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
Step3:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
So, Greatest Common Divisor of 645, 316, 680, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 645, 316, 680, 735
The greatest common divisor of numbers 645, 316, 680, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 316, 680, 735 is 1.
1. What is the GCD of 645, 316, 680, 735?
GCD of given numbers 645, 316, 680, 735 is 1
2. How to calculate the greatest common divisor of 645, 316, 680, 735?
We can find the highest common divisor of 645, 316, 680, 735 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 645, 316, 680, 735 i.e 1.
3. How can I use the GCD of 645, 316, 680, 735Calculator?
Out the numbers 645, 316, 680, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.