Online GCD Calculator is useful to find the GCD of 548, 688, 395, 714 quickly. Get the easiest ways to solve the greatest common divisor of 548, 688, 395, 714 i.e 1 in different methods as follows.
Given Input numbers are 548, 688, 395, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 395 :
The positive integer divisors of 395 that completely divides 395 are.
1, 5, 79, 395
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (548, 688, 395, 714) = 1.
Given numbers are 548, 688, 395, 714
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 395 are 5 x 79
Prime factors of 714 are 2 x 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 548, 688, 395, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 688) = 94256
GCD(548, 688) = ( 548 x 688 ) / 94256
= 548 / 688
= 548
Step2:
LCM(4, 395) = 1580
GCD(4, 395) = ( 4 x 395 ) / 1580
= 4 / 395
= 4
Step3:
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
= 1 / 714
= 1
So, Greatest Common Divisor of 548, 688, 395, 714 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 688, 395, 714
The greatest common divisor of numbers 548, 688, 395, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 688, 395, 714 is 1.
1. What is the GCD of 548, 688, 395, 714?
GCD of given numbers 548, 688, 395, 714 is 1
2. How to calculate the greatest common divisor of 548, 688, 395, 714?
We can find the highest common divisor of 548, 688, 395, 714 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 548, 688, 395, 714 i.e 1.
3. How can I use the GCD of 548, 688, 395, 714Calculator?
Out the numbers 548, 688, 395, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.