Online GCD Calculator is useful to find the GCD of 402, 308, 770, 280 quickly. Get the easiest ways to solve the greatest common divisor of 402, 308, 770, 280 i.e 2 in different methods as follows.
Given Input numbers are 402, 308, 770, 280
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
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
GCD of numbers is the greatest common divisor
So, the GCD (402, 308, 770, 280) = 2.
Given numbers are 402, 308, 770, 280
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 402, 308, 770, 280 is 2.
Given numbers are 402, 308, 770, 280
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 308) = 61908
GCD(402, 308) = ( 402 x 308 ) / 61908
= 402 / 308
= 402
Step2:
LCM(2, 770) = 770
GCD(2, 770) = ( 2 x 770 ) / 770
= 2 / 770
= 2
Step3:
LCM(2, 280) = 280
GCD(2, 280) = ( 2 x 280 ) / 280
= 2 / 280
= 2
So, Greatest Common Divisor of 402, 308, 770, 280 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 308, 770, 280
The greatest common divisor of numbers 402, 308, 770, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 308, 770, 280 is 2.
1. What is the GCD of 402, 308, 770, 280?
GCD of given numbers 402, 308, 770, 280 is 2
2. How to calculate the greatest common divisor of 402, 308, 770, 280?
We can find the highest common divisor of 402, 308, 770, 280 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 402, 308, 770, 280 i.e 2.
3. How can I use the GCD of 402, 308, 770, 280Calculator?
Out the numbers 402, 308, 770, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.