Online GCD Calculator is useful to find the GCD of 702, 710, 980, 300 quickly. Get the easiest ways to solve the greatest common divisor of 702, 710, 980, 300 i.e 2 in different methods as follows.
Given Input numbers are 702, 710, 980, 300
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 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (702, 710, 980, 300) = 2.
Given numbers are 702, 710, 980, 300
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 710 are 2 x 5 x 71
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 702, 710, 980, 300 is 2.
Given numbers are 702, 710, 980, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 710) = 249210
GCD(702, 710) = ( 702 x 710 ) / 249210
= 702 / 710
= 702
Step2:
LCM(2, 980) = 980
GCD(2, 980) = ( 2 x 980 ) / 980
= 2 / 980
= 2
Step3:
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
= 2 / 300
= 2
So, Greatest Common Divisor of 702, 710, 980, 300 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 710, 980, 300
The greatest common divisor of numbers 702, 710, 980, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 710, 980, 300 is 2.
1. What is the GCD of 702, 710, 980, 300?
GCD of given numbers 702, 710, 980, 300 is 2
2. How to calculate the greatest common divisor of 702, 710, 980, 300?
We can find the highest common divisor of 702, 710, 980, 300 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, 710, 980, 300 i.e 2.
3. How can I use the GCD of 702, 710, 980, 300Calculator?
Out the numbers 702, 710, 980, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.