Online GCD Calculator is useful to find the GCD of 260, 442, 356, 762 quickly. Get the easiest ways to solve the greatest common divisor of 260, 442, 356, 762 i.e 2 in different methods as follows.
Given Input numbers are 260, 442, 356, 762
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 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
GCD of numbers is the greatest common divisor
So, the GCD (260, 442, 356, 762) = 2.
Given numbers are 260, 442, 356, 762
The list of prime factors of all numbers are
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 442 are 2 x 13 x 17
Prime factors of 356 are 2 x 2 x 89
Prime factors of 762 are 2 x 3 x 127
The highest common occurrence is 21
Therefore, GCD of 260, 442, 356, 762 is 2.
Given numbers are 260, 442, 356, 762
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(260, 442) = 4420
GCD(260, 442) = ( 260 x 442 ) / 4420
= 260 / 442
= 260
Step2:
LCM(26, 356) = 4628
GCD(26, 356) = ( 26 x 356 ) / 4628
= 26 / 356
= 26
Step3:
LCM(2, 762) = 762
GCD(2, 762) = ( 2 x 762 ) / 762
= 2 / 762
= 2
So, Greatest Common Divisor of 260, 442, 356, 762 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 260, 442, 356, 762
The greatest common divisor of numbers 260, 442, 356, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 442, 356, 762 is 2.
1. What is the GCD of 260, 442, 356, 762?
GCD of given numbers 260, 442, 356, 762 is 2
2. How to calculate the greatest common divisor of 260, 442, 356, 762?
We can find the highest common divisor of 260, 442, 356, 762 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, 442, 356, 762 i.e 2.
3. How can I use the GCD of 260, 442, 356, 762Calculator?
Out the numbers 260, 442, 356, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.