Online GCD Calculator is useful to find the GCD of 260, 360, 224, 776 quickly. Get the easiest ways to solve the greatest common divisor of 260, 360, 224, 776 i.e 4 in different methods as follows.
Given Input numbers are 260, 360, 224, 776
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 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 776 :
The positive integer divisors of 776 that completely divides 776 are.
1, 2, 4, 8, 97, 194, 388, 776
GCD of numbers is the greatest common divisor
So, the GCD (260, 360, 224, 776) = 4.
Given numbers are 260, 360, 224, 776
The list of prime factors of all numbers are
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 776 are 2 x 2 x 2 x 97
The highest common occurrence is 22
Therefore, GCD of 260, 360, 224, 776 is 4.
Given numbers are 260, 360, 224, 776
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(260, 360) = 4680
GCD(260, 360) = ( 260 x 360 ) / 4680
= 260 / 360
= 260
Step2:
LCM(20, 224) = 1120
GCD(20, 224) = ( 20 x 224 ) / 1120
= 20 / 224
= 20
Step3:
LCM(4, 776) = 776
GCD(4, 776) = ( 4 x 776 ) / 776
= 4 / 776
= 4
So, Greatest Common Divisor of 260, 360, 224, 776 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 260, 360, 224, 776
The greatest common divisor of numbers 260, 360, 224, 776 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 360, 224, 776 is 4.
1. What is the GCD of 260, 360, 224, 776?
GCD of given numbers 260, 360, 224, 776 is 4
2. How to calculate the greatest common divisor of 260, 360, 224, 776?
We can find the highest common divisor of 260, 360, 224, 776 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, 360, 224, 776 i.e 4.
3. How can I use the GCD of 260, 360, 224, 776Calculator?
Out the numbers 260, 360, 224, 776 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.