Online GCD Calculator is useful to find the GCD of 702, 422, 982, 278 quickly. Get the easiest ways to solve the greatest common divisor of 702, 422, 982, 278 i.e 2 in different methods as follows.
Given Input numbers are 702, 422, 982, 278
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
GCD of numbers is the greatest common divisor
So, the GCD (702, 422, 982, 278) = 2.
Given numbers are 702, 422, 982, 278
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 422 are 2 x 211
Prime factors of 982 are 2 x 491
Prime factors of 278 are 2 x 139
The highest common occurrence is 21
Therefore, GCD of 702, 422, 982, 278 is 2.
Given numbers are 702, 422, 982, 278
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 422) = 148122
GCD(702, 422) = ( 702 x 422 ) / 148122
= 702 / 422
= 702
Step2:
LCM(2, 982) = 982
GCD(2, 982) = ( 2 x 982 ) / 982
= 2 / 982
= 2
Step3:
LCM(2, 278) = 278
GCD(2, 278) = ( 2 x 278 ) / 278
= 2 / 278
= 2
So, Greatest Common Divisor of 702, 422, 982, 278 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 422, 982, 278
The greatest common divisor of numbers 702, 422, 982, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 422, 982, 278 is 2.
1. What is the GCD of 702, 422, 982, 278?
GCD of given numbers 702, 422, 982, 278 is 2
2. How to calculate the greatest common divisor of 702, 422, 982, 278?
We can find the highest common divisor of 702, 422, 982, 278 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 702, 422, 982, 278 i.e 2.
3. How can I use the GCD of 702, 422, 982, 278Calculator?
Out the numbers 702, 422, 982, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.