Online GCD Calculator is useful to find the GCD of 310, 280, 125, 156 quickly. Get the easiest ways to solve the greatest common divisor of 310, 280, 125, 156 i.e 1 in different methods as follows.
Given Input numbers are 310, 280, 125, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (310, 280, 125, 156) = 1.
Given numbers are 310, 280, 125, 156
The list of prime factors of all numbers are
Prime factors of 310 are 2 x 5 x 31
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 125 are 5 x 5 x 5
Prime factors of 156 are 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 310, 280, 125, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(310, 280) = 8680
GCD(310, 280) = ( 310 x 280 ) / 8680
= 310 / 280
= 310
Step2:
LCM(10, 125) = 250
GCD(10, 125) = ( 10 x 125 ) / 250
= 10 / 125
= 10
Step3:
LCM(5, 156) = 780
GCD(5, 156) = ( 5 x 156 ) / 780
= 5 / 156
= 5
So, Greatest Common Divisor of 310, 280, 125, 156 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 310, 280, 125, 156
The greatest common divisor of numbers 310, 280, 125, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 280, 125, 156 is 1.
1. What is the GCD of 310, 280, 125, 156?
GCD of given numbers 310, 280, 125, 156 is 1
2. How to calculate the greatest common divisor of 310, 280, 125, 156?
We can find the highest common divisor of 310, 280, 125, 156 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 310, 280, 125, 156 i.e 1.
3. How can I use the GCD of 310, 280, 125, 156Calculator?
Out the numbers 310, 280, 125, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.