Online GCD Calculator is useful to find the GCD of 756, 565, 490, 695 quickly. Get the easiest ways to solve the greatest common divisor of 756, 565, 490, 695 i.e 1 in different methods as follows.
Given Input numbers are 756, 565, 490, 695
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 565 :
The positive integer divisors of 565 that completely divides 565 are.
1, 5, 113, 565
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 695 :
The positive integer divisors of 695 that completely divides 695 are.
1, 5, 139, 695
GCD of numbers is the greatest common divisor
So, the GCD (756, 565, 490, 695) = 1.
Given numbers are 756, 565, 490, 695
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 565 are 5 x 113
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 695 are 5 x 139
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 756, 565, 490, 695
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 565) = 427140
GCD(756, 565) = ( 756 x 565 ) / 427140
= 756 / 565
= 756
Step2:
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
= 1 / 490
= 1
Step3:
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
= 1 / 695
= 1
So, Greatest Common Divisor of 756, 565, 490, 695 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 565, 490, 695
The greatest common divisor of numbers 756, 565, 490, 695 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 565, 490, 695 is 1.
1. What is the GCD of 756, 565, 490, 695?
GCD of given numbers 756, 565, 490, 695 is 1
2. How to calculate the greatest common divisor of 756, 565, 490, 695?
We can find the highest common divisor of 756, 565, 490, 695 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 756, 565, 490, 695 i.e 1.
3. How can I use the GCD of 756, 565, 490, 695Calculator?
Out the numbers 756, 565, 490, 695 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.