Online GCD Calculator is useful to find the GCD of 928, 702, 770, 946 quickly. Get the easiest ways to solve the greatest common divisor of 928, 702, 770, 946 i.e 2 in different methods as follows.
Given Input numbers are 928, 702, 770, 946
In the factoring method, we have to find the divisors of all numbers
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
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 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
GCD of numbers is the greatest common divisor
So, the GCD (928, 702, 770, 946) = 2.
Given numbers are 928, 702, 770, 946
The list of prime factors of all numbers are
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 946 are 2 x 11 x 43
The highest common occurrence is 21
Therefore, GCD of 928, 702, 770, 946 is 2.
Given numbers are 928, 702, 770, 946
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(928, 702) = 325728
GCD(928, 702) = ( 928 x 702 ) / 325728
= 928 / 702
= 928
Step2:
LCM(2, 770) = 770
GCD(2, 770) = ( 2 x 770 ) / 770
= 2 / 770
= 2
Step3:
LCM(2, 946) = 946
GCD(2, 946) = ( 2 x 946 ) / 946
= 2 / 946
= 2
So, Greatest Common Divisor of 928, 702, 770, 946 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 928, 702, 770, 946
The greatest common divisor of numbers 928, 702, 770, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 702, 770, 946 is 2.
1. What is the GCD of 928, 702, 770, 946?
GCD of given numbers 928, 702, 770, 946 is 2
2. How to calculate the greatest common divisor of 928, 702, 770, 946?
We can find the highest common divisor of 928, 702, 770, 946 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 928, 702, 770, 946 i.e 2.
3. How can I use the GCD of 928, 702, 770, 946Calculator?
Out the numbers 928, 702, 770, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.