Online GCD Calculator is useful to find the GCD of 126, 360, 702 quickly. Get the easiest ways to solve the greatest common divisor of 126, 360, 702 i.e 18 in different methods as follows.
Given Input numbers are 126, 360, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (126, 360, 702) = 18.
Given numbers are 126, 360, 702
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 21 x 32
Therefore, GCD of 126, 360, 702 is 18.
Given numbers are 126, 360, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 360) = 2520
GCD(126, 360) = ( 126 x 360 ) / 2520
= 126 / 360
= 126
Step2:
LCM(18, 702) = 702
GCD(18, 702) = ( 18 x 702 ) / 702
= 18 / 702
= 18
So, Greatest Common Divisor of 126, 360, 702 is 18
Here are some samples of GCD of Numbers calculations.
Given numbers are 126, 360, 702
The greatest common divisor of numbers 126, 360, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 360, 702 is 18.
1. What is the GCD of 126, 360, 702?
GCD of given numbers 126, 360, 702 is 18
2. How to calculate the greatest common divisor of 126, 360, 702?
We can find the highest common divisor of 126, 360, 702 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 126, 360, 702 i.e 18.
3. How can I use the GCD of 126, 360, 702Calculator?
Out the numbers 126, 360, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.