Online GCD Calculator is useful to find the GCD of 748, 737, 970, 686 quickly. Get the easiest ways to solve the greatest common divisor of 748, 737, 970, 686 i.e 1 in different methods as follows.
Given Input numbers are 748, 737, 970, 686
In the factoring method, we have to find the divisors of all numbers
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 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
GCD of numbers is the greatest common divisor
So, the GCD (748, 737, 970, 686) = 1.
Given numbers are 748, 737, 970, 686
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 737 are 11 x 67
Prime factors of 970 are 2 x 5 x 97
Prime factors of 686 are 2 x 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 737, 970, 686
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 737) = 50116
GCD(748, 737) = ( 748 x 737 ) / 50116
= 748 / 737
= 748
Step2:
LCM(11, 970) = 10670
GCD(11, 970) = ( 11 x 970 ) / 10670
= 11 / 970
= 11
Step3:
LCM(1, 686) = 686
GCD(1, 686) = ( 1 x 686 ) / 686
= 1 / 686
= 1
So, Greatest Common Divisor of 748, 737, 970, 686 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 737, 970, 686
The greatest common divisor of numbers 748, 737, 970, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 737, 970, 686 is 1.
1. What is the GCD of 748, 737, 970, 686?
GCD of given numbers 748, 737, 970, 686 is 1
2. How to calculate the greatest common divisor of 748, 737, 970, 686?
We can find the highest common divisor of 748, 737, 970, 686 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 748, 737, 970, 686 i.e 1.
3. How can I use the GCD of 748, 737, 970, 686Calculator?
Out the numbers 748, 737, 970, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.