Online GCD Calculator is useful to find the GCD of 498, 134, 284, 140 quickly. Get the easiest ways to solve the greatest common divisor of 498, 134, 284, 140 i.e 2 in different methods as follows.
Given Input numbers are 498, 134, 284, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (498, 134, 284, 140) = 2.
Given numbers are 498, 134, 284, 140
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 134 are 2 x 67
Prime factors of 284 are 2 x 2 x 71
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 498, 134, 284, 140 is 2.
Given numbers are 498, 134, 284, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 134) = 33366
GCD(498, 134) = ( 498 x 134 ) / 33366
= 498 / 134
= 498
Step2:
LCM(2, 284) = 284
GCD(2, 284) = ( 2 x 284 ) / 284
= 2 / 284
= 2
Step3:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
So, Greatest Common Divisor of 498, 134, 284, 140 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 134, 284, 140
The greatest common divisor of numbers 498, 134, 284, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 134, 284, 140 is 2.
1. What is the GCD of 498, 134, 284, 140?
GCD of given numbers 498, 134, 284, 140 is 2
2. How to calculate the greatest common divisor of 498, 134, 284, 140?
We can find the highest common divisor of 498, 134, 284, 140 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 498, 134, 284, 140 i.e 2.
3. How can I use the GCD of 498, 134, 284, 140Calculator?
Out the numbers 498, 134, 284, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.