Online GCD Calculator is useful to find the GCD of 278, 446, 702 quickly. Get the easiest ways to solve the greatest common divisor of 278, 446, 702 i.e 2 in different methods as follows.
Given Input numbers are 278, 446, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (278, 446, 702) = 2.
Given numbers are 278, 446, 702
The list of prime factors of all numbers are
Prime factors of 278 are 2 x 139
Prime factors of 446 are 2 x 223
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 278, 446, 702 is 2.
Given numbers are 278, 446, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(278, 446) = 61994
GCD(278, 446) = ( 278 x 446 ) / 61994
= 278 / 446
= 278
Step2:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
So, Greatest Common Divisor of 278, 446, 702 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 278, 446, 702
The greatest common divisor of numbers 278, 446, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 446, 702 is 2.
1. What is the GCD of 278, 446, 702?
GCD of given numbers 278, 446, 702 is 2
2. How to calculate the greatest common divisor of 278, 446, 702?
We can find the highest common divisor of 278, 446, 702 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 278, 446, 702 i.e 2.
3. How can I use the GCD of 278, 446, 702Calculator?
Out the numbers 278, 446, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.