Online GCD Calculator is useful to find the GCD of 110, 820, 970, 702 quickly. Get the easiest ways to solve the greatest common divisor of 110, 820, 970, 702 i.e 2 in different methods as follows.
Given Input numbers are 110, 820, 970, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
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 (110, 820, 970, 702) = 2.
Given numbers are 110, 820, 970, 702
The list of prime factors of all numbers are
Prime factors of 110 are 2 x 5 x 11
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 970 are 2 x 5 x 97
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 110, 820, 970, 702 is 2.
Given numbers are 110, 820, 970, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(110, 820) = 9020
GCD(110, 820) = ( 110 x 820 ) / 9020
= 110 / 820
= 110
Step2:
LCM(10, 970) = 970
GCD(10, 970) = ( 10 x 970 ) / 970
= 10 / 970
= 10
Step3:
LCM(10, 702) = 3510
GCD(10, 702) = ( 10 x 702 ) / 3510
= 10 / 702
= 10
So, Greatest Common Divisor of 110, 820, 970, 702 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 110, 820, 970, 702
The greatest common divisor of numbers 110, 820, 970, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 820, 970, 702 is 2.
1. What is the GCD of 110, 820, 970, 702?
GCD of given numbers 110, 820, 970, 702 is 2
2. How to calculate the greatest common divisor of 110, 820, 970, 702?
We can find the highest common divisor of 110, 820, 970, 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 110, 820, 970, 702 i.e 2.
3. How can I use the GCD of 110, 820, 970, 702Calculator?
Out the numbers 110, 820, 970, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.