Online GCD Calculator is useful to find the GCD of 130, 700, 894, 549 quickly. Get the easiest ways to solve the greatest common divisor of 130, 700, 894, 549 i.e 1 in different methods as follows.
Given Input numbers are 130, 700, 894, 549
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
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 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 549 :
The positive integer divisors of 549 that completely divides 549 are.
1, 3, 9, 61, 183, 549
GCD of numbers is the greatest common divisor
So, the GCD (130, 700, 894, 549) = 1.
Given numbers are 130, 700, 894, 549
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 894 are 2 x 3 x 149
Prime factors of 549 are 3 x 3 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 130, 700, 894, 549
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 700) = 9100
GCD(130, 700) = ( 130 x 700 ) / 9100
= 130 / 700
= 130
Step2:
LCM(10, 894) = 4470
GCD(10, 894) = ( 10 x 894 ) / 4470
= 10 / 894
= 10
Step3:
LCM(2, 549) = 1098
GCD(2, 549) = ( 2 x 549 ) / 1098
= 2 / 549
= 2
So, Greatest Common Divisor of 130, 700, 894, 549 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 700, 894, 549
The greatest common divisor of numbers 130, 700, 894, 549 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 700, 894, 549 is 1.
1. What is the GCD of 130, 700, 894, 549?
GCD of given numbers 130, 700, 894, 549 is 1
2. How to calculate the greatest common divisor of 130, 700, 894, 549?
We can find the highest common divisor of 130, 700, 894, 549 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 130, 700, 894, 549 i.e 1.
3. How can I use the GCD of 130, 700, 894, 549Calculator?
Out the numbers 130, 700, 894, 549 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.