Online GCD Calculator is useful to find the GCD of 702, 135, 663, 921 quickly. Get the easiest ways to solve the greatest common divisor of 702, 135, 663, 921 i.e 3 in different methods as follows.
Given Input numbers are 702, 135, 663, 921
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 663 :
The positive integer divisors of 663 that completely divides 663 are.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (702, 135, 663, 921) = 3.
Given numbers are 702, 135, 663, 921
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 663 are 3 x 13 x 17
Prime factors of 921 are 3 x 307
The highest common occurrence is 31
Therefore, GCD of 702, 135, 663, 921 is 3.
Given numbers are 702, 135, 663, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 135) = 3510
GCD(702, 135) = ( 702 x 135 ) / 3510
= 702 / 135
= 702
Step2:
LCM(27, 663) = 5967
GCD(27, 663) = ( 27 x 663 ) / 5967
= 27 / 663
= 27
Step3:
LCM(3, 921) = 921
GCD(3, 921) = ( 3 x 921 ) / 921
= 3 / 921
= 3
So, Greatest Common Divisor of 702, 135, 663, 921 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 135, 663, 921
The greatest common divisor of numbers 702, 135, 663, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 135, 663, 921 is 3.
1. What is the GCD of 702, 135, 663, 921?
GCD of given numbers 702, 135, 663, 921 is 3
2. How to calculate the greatest common divisor of 702, 135, 663, 921?
We can find the highest common divisor of 702, 135, 663, 921 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 702, 135, 663, 921 i.e 3.
3. How can I use the GCD of 702, 135, 663, 921Calculator?
Out the numbers 702, 135, 663, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.