Online GCD Calculator is useful to find the GCD of 508, 846, 142, 334 quickly. Get the easiest ways to solve the greatest common divisor of 508, 846, 142, 334 i.e 2 in different methods as follows.
Given Input numbers are 508, 846, 142, 334
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
GCD of numbers is the greatest common divisor
So, the GCD (508, 846, 142, 334) = 2.
Given numbers are 508, 846, 142, 334
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 142 are 2 x 71
Prime factors of 334 are 2 x 167
The highest common occurrence is 21
Therefore, GCD of 508, 846, 142, 334 is 2.
Given numbers are 508, 846, 142, 334
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 846) = 214884
GCD(508, 846) = ( 508 x 846 ) / 214884
= 508 / 846
= 508
Step2:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
Step3:
LCM(2, 334) = 334
GCD(2, 334) = ( 2 x 334 ) / 334
= 2 / 334
= 2
So, Greatest Common Divisor of 508, 846, 142, 334 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 846, 142, 334
The greatest common divisor of numbers 508, 846, 142, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 846, 142, 334 is 2.
1. What is the GCD of 508, 846, 142, 334?
GCD of given numbers 508, 846, 142, 334 is 2
2. How to calculate the greatest common divisor of 508, 846, 142, 334?
We can find the highest common divisor of 508, 846, 142, 334 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 508, 846, 142, 334 i.e 2.
3. How can I use the GCD of 508, 846, 142, 334Calculator?
Out the numbers 508, 846, 142, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.