Online GCD Calculator is useful to find the GCD of 702, 120, 570, 758 quickly. Get the easiest ways to solve the greatest common divisor of 702, 120, 570, 758 i.e 2 in different methods as follows.
Given Input numbers are 702, 120, 570, 758
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 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
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
GCD of numbers is the greatest common divisor
So, the GCD (702, 120, 570, 758) = 2.
Given numbers are 702, 120, 570, 758
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 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 758 are 2 x 379
The highest common occurrence is 21
Therefore, GCD of 702, 120, 570, 758 is 2.
Given numbers are 702, 120, 570, 758
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 120) = 14040
GCD(702, 120) = ( 702 x 120 ) / 14040
= 702 / 120
= 702
Step2:
LCM(6, 570) = 570
GCD(6, 570) = ( 6 x 570 ) / 570
= 6 / 570
= 6
Step3:
LCM(6, 758) = 2274
GCD(6, 758) = ( 6 x 758 ) / 2274
= 6 / 758
= 6
So, Greatest Common Divisor of 702, 120, 570, 758 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 120, 570, 758
The greatest common divisor of numbers 702, 120, 570, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 120, 570, 758 is 2.
1. What is the GCD of 702, 120, 570, 758?
GCD of given numbers 702, 120, 570, 758 is 2
2. How to calculate the greatest common divisor of 702, 120, 570, 758?
We can find the highest common divisor of 702, 120, 570, 758 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, 120, 570, 758 i.e 2.
3. How can I use the GCD of 702, 120, 570, 758Calculator?
Out the numbers 702, 120, 570, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.