Online GCD Calculator is useful to find the GCD of 260, 266, 464, 140 quickly. Get the easiest ways to solve the greatest common divisor of 260, 266, 464, 140 i.e 2 in different methods as follows.
Given Input numbers are 260, 266, 464, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
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 (260, 266, 464, 140) = 2.
Given numbers are 260, 266, 464, 140
The list of prime factors of all numbers are
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 266 are 2 x 7 x 19
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 260, 266, 464, 140 is 2.
Given numbers are 260, 266, 464, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(260, 266) = 34580
GCD(260, 266) = ( 260 x 266 ) / 34580
= 260 / 266
= 260
Step2:
LCM(2, 464) = 464
GCD(2, 464) = ( 2 x 464 ) / 464
= 2 / 464
= 2
Step3:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
So, Greatest Common Divisor of 260, 266, 464, 140 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 260, 266, 464, 140
The greatest common divisor of numbers 260, 266, 464, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 266, 464, 140 is 2.
1. What is the GCD of 260, 266, 464, 140?
GCD of given numbers 260, 266, 464, 140 is 2
2. How to calculate the greatest common divisor of 260, 266, 464, 140?
We can find the highest common divisor of 260, 266, 464, 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 260, 266, 464, 140 i.e 2.
3. How can I use the GCD of 260, 266, 464, 140Calculator?
Out the numbers 260, 266, 464, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.