Online GCD Calculator is useful to find the GCD of 660, 700, 549, 434 quickly. Get the easiest ways to solve the greatest common divisor of 660, 700, 549, 434 i.e 1 in different methods as follows.
Given Input numbers are 660, 700, 549, 434
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 549 :
The positive integer divisors of 549 that completely divides 549 are.
1, 3, 9, 61, 183, 549
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
GCD of numbers is the greatest common divisor
So, the GCD (660, 700, 549, 434) = 1.
Given numbers are 660, 700, 549, 434
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 549 are 3 x 3 x 61
Prime factors of 434 are 2 x 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 660, 700, 549, 434
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 700) = 23100
GCD(660, 700) = ( 660 x 700 ) / 23100
= 660 / 700
= 660
Step2:
LCM(20, 549) = 10980
GCD(20, 549) = ( 20 x 549 ) / 10980
= 20 / 549
= 20
Step3:
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
= 1 / 434
= 1
So, Greatest Common Divisor of 660, 700, 549, 434 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 700, 549, 434
The greatest common divisor of numbers 660, 700, 549, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 700, 549, 434 is 1.
1. What is the GCD of 660, 700, 549, 434?
GCD of given numbers 660, 700, 549, 434 is 1
2. How to calculate the greatest common divisor of 660, 700, 549, 434?
We can find the highest common divisor of 660, 700, 549, 434 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 660, 700, 549, 434 i.e 1.
3. How can I use the GCD of 660, 700, 549, 434Calculator?
Out the numbers 660, 700, 549, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.