Online GCD Calculator is useful to find the GCD of 700, 986, 946, 710 quickly. Get the easiest ways to solve the greatest common divisor of 700, 986, 946, 710 i.e 2 in different methods as follows.
Given Input numbers are 700, 986, 946, 710
In the factoring method, we have to find the divisors of all numbers
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
GCD of numbers is the greatest common divisor
So, the GCD (700, 986, 946, 710) = 2.
Given numbers are 700, 986, 946, 710
The list of prime factors of all numbers are
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 986 are 2 x 17 x 29
Prime factors of 946 are 2 x 11 x 43
Prime factors of 710 are 2 x 5 x 71
The highest common occurrence is 21
Therefore, GCD of 700, 986, 946, 710 is 2.
Given numbers are 700, 986, 946, 710
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 986) = 345100
GCD(700, 986) = ( 700 x 986 ) / 345100
= 700 / 986
= 700
Step2:
LCM(2, 946) = 946
GCD(2, 946) = ( 2 x 946 ) / 946
= 2 / 946
= 2
Step3:
LCM(2, 710) = 710
GCD(2, 710) = ( 2 x 710 ) / 710
= 2 / 710
= 2
So, Greatest Common Divisor of 700, 986, 946, 710 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 986, 946, 710
The greatest common divisor of numbers 700, 986, 946, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 986, 946, 710 is 2.
1. What is the GCD of 700, 986, 946, 710?
GCD of given numbers 700, 986, 946, 710 is 2
2. How to calculate the greatest common divisor of 700, 986, 946, 710?
We can find the highest common divisor of 700, 986, 946, 710 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 700, 986, 946, 710 i.e 2.
3. How can I use the GCD of 700, 986, 946, 710Calculator?
Out the numbers 700, 986, 946, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.