Online GCD Calculator is useful to find the GCD of 142, 760, 616, 506 quickly. Get the easiest ways to solve the greatest common divisor of 142, 760, 616, 506 i.e 2 in different methods as follows.
Given Input numbers are 142, 760, 616, 506
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 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
GCD of numbers is the greatest common divisor
So, the GCD (142, 760, 616, 506) = 2.
Given numbers are 142, 760, 616, 506
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 506 are 2 x 11 x 23
The highest common occurrence is 21
Therefore, GCD of 142, 760, 616, 506 is 2.
Given numbers are 142, 760, 616, 506
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 760) = 53960
GCD(142, 760) = ( 142 x 760 ) / 53960
= 142 / 760
= 142
Step2:
LCM(2, 616) = 616
GCD(2, 616) = ( 2 x 616 ) / 616
= 2 / 616
= 2
Step3:
LCM(2, 506) = 506
GCD(2, 506) = ( 2 x 506 ) / 506
= 2 / 506
= 2
So, Greatest Common Divisor of 142, 760, 616, 506 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 760, 616, 506
The greatest common divisor of numbers 142, 760, 616, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 760, 616, 506 is 2.
1. What is the GCD of 142, 760, 616, 506?
GCD of given numbers 142, 760, 616, 506 is 2
2. How to calculate the greatest common divisor of 142, 760, 616, 506?
We can find the highest common divisor of 142, 760, 616, 506 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, 760, 616, 506 i.e 2.
3. How can I use the GCD of 142, 760, 616, 506Calculator?
Out the numbers 142, 760, 616, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.