Online GCD Calculator is useful to find the GCD of 735, 470, 560, 637 quickly. Get the easiest ways to solve the greatest common divisor of 735, 470, 560, 637 i.e 1 in different methods as follows.
Given Input numbers are 735, 470, 560, 637
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 637 :
The positive integer divisors of 637 that completely divides 637 are.
1, 7, 13, 49, 91, 637
GCD of numbers is the greatest common divisor
So, the GCD (735, 470, 560, 637) = 1.
Given numbers are 735, 470, 560, 637
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 470 are 2 x 5 x 47
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 637 are 7 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 735, 470, 560, 637
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 470) = 69090
GCD(735, 470) = ( 735 x 470 ) / 69090
= 735 / 470
= 735
Step2:
LCM(5, 560) = 560
GCD(5, 560) = ( 5 x 560 ) / 560
= 5 / 560
= 5
Step3:
LCM(5, 637) = 3185
GCD(5, 637) = ( 5 x 637 ) / 3185
= 5 / 637
= 5
So, Greatest Common Divisor of 735, 470, 560, 637 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 470, 560, 637
The greatest common divisor of numbers 735, 470, 560, 637 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 470, 560, 637 is 1.
1. What is the GCD of 735, 470, 560, 637?
GCD of given numbers 735, 470, 560, 637 is 1
2. How to calculate the greatest common divisor of 735, 470, 560, 637?
We can find the highest common divisor of 735, 470, 560, 637 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 735, 470, 560, 637 i.e 1.
3. How can I use the GCD of 735, 470, 560, 637Calculator?
Out the numbers 735, 470, 560, 637 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.