Online GCD Calculator is useful to find the GCD of 880, 661, 698, 198 quickly. Get the easiest ways to solve the greatest common divisor of 880, 661, 698, 198 i.e 1 in different methods as follows.
Given Input numbers are 880, 661, 698, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 661 :
The positive integer divisors of 661 that completely divides 661 are.
1, 661
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
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
GCD of numbers is the greatest common divisor
So, the GCD (880, 661, 698, 198) = 1.
Given numbers are 880, 661, 698, 198
The list of prime factors of all numbers are
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 661 are 661
Prime factors of 698 are 2 x 349
Prime factors of 198 are 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 880, 661, 698, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(880, 661) = 581680
GCD(880, 661) = ( 880 x 661 ) / 581680
= 880 / 661
= 880
Step2:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
Step3:
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
= 1 / 198
= 1
So, Greatest Common Divisor of 880, 661, 698, 198 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 880, 661, 698, 198
The greatest common divisor of numbers 880, 661, 698, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 661, 698, 198 is 1.
1. What is the GCD of 880, 661, 698, 198?
GCD of given numbers 880, 661, 698, 198 is 1
2. How to calculate the greatest common divisor of 880, 661, 698, 198?
We can find the highest common divisor of 880, 661, 698, 198 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 880, 661, 698, 198 i.e 1.
3. How can I use the GCD of 880, 661, 698, 198Calculator?
Out the numbers 880, 661, 698, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.