Online GCD Calculator is useful to find the GCD of 680, 144, 202, 134 quickly. Get the easiest ways to solve the greatest common divisor of 680, 144, 202, 134 i.e 2 in different methods as follows.
Given Input numbers are 680, 144, 202, 134
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
GCD of numbers is the greatest common divisor
So, the GCD (680, 144, 202, 134) = 2.
Given numbers are 680, 144, 202, 134
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 202 are 2 x 101
Prime factors of 134 are 2 x 67
The highest common occurrence is 21
Therefore, GCD of 680, 144, 202, 134 is 2.
Given numbers are 680, 144, 202, 134
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 144) = 12240
GCD(680, 144) = ( 680 x 144 ) / 12240
= 680 / 144
= 680
Step2:
LCM(8, 202) = 808
GCD(8, 202) = ( 8 x 202 ) / 808
= 8 / 202
= 8
Step3:
LCM(2, 134) = 134
GCD(2, 134) = ( 2 x 134 ) / 134
= 2 / 134
= 2
So, Greatest Common Divisor of 680, 144, 202, 134 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 144, 202, 134
The greatest common divisor of numbers 680, 144, 202, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 144, 202, 134 is 2.
1. What is the GCD of 680, 144, 202, 134?
GCD of given numbers 680, 144, 202, 134 is 2
2. How to calculate the greatest common divisor of 680, 144, 202, 134?
We can find the highest common divisor of 680, 144, 202, 134 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 680, 144, 202, 134 i.e 2.
3. How can I use the GCD of 680, 144, 202, 134Calculator?
Out the numbers 680, 144, 202, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.