Online GCD Calculator is useful to find the GCD of 691, 756, 101, 828 quickly. Get the easiest ways to solve the greatest common divisor of 691, 756, 101, 828 i.e 1 in different methods as follows.
Given Input numbers are 691, 756, 101, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 691 :
The positive integer divisors of 691 that completely divides 691 are.
1, 691
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 101 :
The positive integer divisors of 101 that completely divides 101 are.
1, 101
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (691, 756, 101, 828) = 1.
Given numbers are 691, 756, 101, 828
The list of prime factors of all numbers are
Prime factors of 691 are 691
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 101 are 101
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 691, 756, 101, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(691, 756) = 522396
GCD(691, 756) = ( 691 x 756 ) / 522396
= 691 / 756
= 691
Step2:
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
= 1 / 101
= 1
Step3:
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
= 1 / 828
= 1
So, Greatest Common Divisor of 691, 756, 101, 828 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 691, 756, 101, 828
The greatest common divisor of numbers 691, 756, 101, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 691, 756, 101, 828 is 1.
1. What is the GCD of 691, 756, 101, 828?
GCD of given numbers 691, 756, 101, 828 is 1
2. How to calculate the greatest common divisor of 691, 756, 101, 828?
We can find the highest common divisor of 691, 756, 101, 828 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 691, 756, 101, 828 i.e 1.
3. How can I use the GCD of 691, 756, 101, 828Calculator?
Out the numbers 691, 756, 101, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.