Online GCD Calculator is useful to find the GCD of 760, 352, 698, 146 quickly. Get the easiest ways to solve the greatest common divisor of 760, 352, 698, 146 i.e 2 in different methods as follows.
Given Input numbers are 760, 352, 698, 146
In the factoring method, we have to find the divisors of all numbers
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
GCD of numbers is the greatest common divisor
So, the GCD (760, 352, 698, 146) = 2.
Given numbers are 760, 352, 698, 146
The list of prime factors of all numbers are
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 698 are 2 x 349
Prime factors of 146 are 2 x 73
The highest common occurrence is 21
Therefore, GCD of 760, 352, 698, 146 is 2.
Given numbers are 760, 352, 698, 146
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(760, 352) = 33440
GCD(760, 352) = ( 760 x 352 ) / 33440
= 760 / 352
= 760
Step2:
LCM(8, 698) = 2792
GCD(8, 698) = ( 8 x 698 ) / 2792
= 8 / 698
= 8
Step3:
LCM(2, 146) = 146
GCD(2, 146) = ( 2 x 146 ) / 146
= 2 / 146
= 2
So, Greatest Common Divisor of 760, 352, 698, 146 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 760, 352, 698, 146
The greatest common divisor of numbers 760, 352, 698, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 352, 698, 146 is 2.
1. What is the GCD of 760, 352, 698, 146?
GCD of given numbers 760, 352, 698, 146 is 2
2. How to calculate the greatest common divisor of 760, 352, 698, 146?
We can find the highest common divisor of 760, 352, 698, 146 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 760, 352, 698, 146 i.e 2.
3. How can I use the GCD of 760, 352, 698, 146Calculator?
Out the numbers 760, 352, 698, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.