Online GCD Calculator is useful to find the GCD of 357, 693, 495, 120 quickly. Get the easiest ways to solve the greatest common divisor of 357, 693, 495, 120 i.e 3 in different methods as follows.
Given Input numbers are 357, 693, 495, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (357, 693, 495, 120) = 3.
Given numbers are 357, 693, 495, 120
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 357, 693, 495, 120 is 3.
Given numbers are 357, 693, 495, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 693) = 11781
GCD(357, 693) = ( 357 x 693 ) / 11781
= 357 / 693
= 357
Step2:
LCM(21, 495) = 3465
GCD(21, 495) = ( 21 x 495 ) / 3465
= 21 / 495
= 21
Step3:
LCM(3, 120) = 120
GCD(3, 120) = ( 3 x 120 ) / 120
= 3 / 120
= 3
So, Greatest Common Divisor of 357, 693, 495, 120 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 357, 693, 495, 120
The greatest common divisor of numbers 357, 693, 495, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 693, 495, 120 is 3.
1. What is the GCD of 357, 693, 495, 120?
GCD of given numbers 357, 693, 495, 120 is 3
2. How to calculate the greatest common divisor of 357, 693, 495, 120?
We can find the highest common divisor of 357, 693, 495, 120 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 357, 693, 495, 120 i.e 3.
3. How can I use the GCD of 357, 693, 495, 120Calculator?
Out the numbers 357, 693, 495, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.