Online GCD Calculator is useful to find the GCD of 142, 702, 742, 682 quickly. Get the easiest ways to solve the greatest common divisor of 142, 702, 742, 682 i.e 2 in different methods as follows.
Given Input numbers are 142, 702, 742, 682
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
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 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (142, 702, 742, 682) = 2.
Given numbers are 142, 702, 742, 682
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 742 are 2 x 7 x 53
Prime factors of 682 are 2 x 11 x 31
The highest common occurrence is 21
Therefore, GCD of 142, 702, 742, 682 is 2.
Given numbers are 142, 702, 742, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 702) = 49842
GCD(142, 702) = ( 142 x 702 ) / 49842
= 142 / 702
= 142
Step2:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
Step3:
LCM(2, 682) = 682
GCD(2, 682) = ( 2 x 682 ) / 682
= 2 / 682
= 2
So, Greatest Common Divisor of 142, 702, 742, 682 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 702, 742, 682
The greatest common divisor of numbers 142, 702, 742, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 702, 742, 682 is 2.
1. What is the GCD of 142, 702, 742, 682?
GCD of given numbers 142, 702, 742, 682 is 2
2. How to calculate the greatest common divisor of 142, 702, 742, 682?
We can find the highest common divisor of 142, 702, 742, 682 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 142, 702, 742, 682 i.e 2.
3. How can I use the GCD of 142, 702, 742, 682Calculator?
Out the numbers 142, 702, 742, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.