Online GCD Calculator is useful to find the GCD of 737, 198, 686, 672 quickly. Get the easiest ways to solve the greatest common divisor of 737, 198, 686, 672 i.e 1 in different methods as follows.
Given Input numbers are 737, 198, 686, 672
In the factoring method, we have to find the divisors of all numbers
Divisors of 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
GCD of numbers is the greatest common divisor
So, the GCD (737, 198, 686, 672) = 1.
Given numbers are 737, 198, 686, 672
The list of prime factors of all numbers are
Prime factors of 737 are 11 x 67
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 737, 198, 686, 672
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(737, 198) = 13266
GCD(737, 198) = ( 737 x 198 ) / 13266
= 737 / 198
= 737
Step2:
LCM(11, 686) = 7546
GCD(11, 686) = ( 11 x 686 ) / 7546
= 11 / 686
= 11
Step3:
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
= 1 / 672
= 1
So, Greatest Common Divisor of 737, 198, 686, 672 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 737, 198, 686, 672
The greatest common divisor of numbers 737, 198, 686, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 737, 198, 686, 672 is 1.
1. What is the GCD of 737, 198, 686, 672?
GCD of given numbers 737, 198, 686, 672 is 1
2. How to calculate the greatest common divisor of 737, 198, 686, 672?
We can find the highest common divisor of 737, 198, 686, 672 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 737, 198, 686, 672 i.e 1.
3. How can I use the GCD of 737, 198, 686, 672Calculator?
Out the numbers 737, 198, 686, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.