Online GCD Calculator is useful to find the GCD of 138, 315, 848, 699 quickly. Get the easiest ways to solve the greatest common divisor of 138, 315, 848, 699 i.e 1 in different methods as follows.
Given Input numbers are 138, 315, 848, 699
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (138, 315, 848, 699) = 1.
Given numbers are 138, 315, 848, 699
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 699 are 3 x 233
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 315, 848, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 315) = 14490
GCD(138, 315) = ( 138 x 315 ) / 14490
= 138 / 315
= 138
Step2:
LCM(3, 848) = 2544
GCD(3, 848) = ( 3 x 848 ) / 2544
= 3 / 848
= 3
Step3:
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
= 1 / 699
= 1
So, Greatest Common Divisor of 138, 315, 848, 699 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 315, 848, 699
The greatest common divisor of numbers 138, 315, 848, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 315, 848, 699 is 1.
1. What is the GCD of 138, 315, 848, 699?
GCD of given numbers 138, 315, 848, 699 is 1
2. How to calculate the greatest common divisor of 138, 315, 848, 699?
We can find the highest common divisor of 138, 315, 848, 699 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 138, 315, 848, 699 i.e 1.
3. How can I use the GCD of 138, 315, 848, 699Calculator?
Out the numbers 138, 315, 848, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.