Online GCD Calculator is useful to find the GCD of 970, 210, 314, 702 quickly. Get the easiest ways to solve the greatest common divisor of 970, 210, 314, 702 i.e 2 in different methods as follows.
Given Input numbers are 970, 210, 314, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
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 (970, 210, 314, 702) = 2.
Given numbers are 970, 210, 314, 702
The list of prime factors of all numbers are
Prime factors of 970 are 2 x 5 x 97
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 314 are 2 x 157
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 970, 210, 314, 702 is 2.
Given numbers are 970, 210, 314, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(970, 210) = 20370
GCD(970, 210) = ( 970 x 210 ) / 20370
= 970 / 210
= 970
Step2:
LCM(10, 314) = 1570
GCD(10, 314) = ( 10 x 314 ) / 1570
= 10 / 314
= 10
Step3:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
So, Greatest Common Divisor of 970, 210, 314, 702 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 970, 210, 314, 702
The greatest common divisor of numbers 970, 210, 314, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 210, 314, 702 is 2.
1. What is the GCD of 970, 210, 314, 702?
GCD of given numbers 970, 210, 314, 702 is 2
2. How to calculate the greatest common divisor of 970, 210, 314, 702?
We can find the highest common divisor of 970, 210, 314, 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 970, 210, 314, 702 i.e 2.
3. How can I use the GCD of 970, 210, 314, 702Calculator?
Out the numbers 970, 210, 314, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.