Online GCD Calculator is useful to find the GCD of 760, 762, 474, 746 quickly. Get the easiest ways to solve the greatest common divisor of 760, 762, 474, 746 i.e 2 in different methods as follows.
Given Input numbers are 760, 762, 474, 746
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 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (760, 762, 474, 746) = 2.
Given numbers are 760, 762, 474, 746
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 762 are 2 x 3 x 127
Prime factors of 474 are 2 x 3 x 79
Prime factors of 746 are 2 x 373
The highest common occurrence is 21
Therefore, GCD of 760, 762, 474, 746 is 2.
Given numbers are 760, 762, 474, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(760, 762) = 289560
GCD(760, 762) = ( 760 x 762 ) / 289560
= 760 / 762
= 760
Step2:
LCM(2, 474) = 474
GCD(2, 474) = ( 2 x 474 ) / 474
= 2 / 474
= 2
Step3:
LCM(2, 746) = 746
GCD(2, 746) = ( 2 x 746 ) / 746
= 2 / 746
= 2
So, Greatest Common Divisor of 760, 762, 474, 746 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 760, 762, 474, 746
The greatest common divisor of numbers 760, 762, 474, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 762, 474, 746 is 2.
1. What is the GCD of 760, 762, 474, 746?
GCD of given numbers 760, 762, 474, 746 is 2
2. How to calculate the greatest common divisor of 760, 762, 474, 746?
We can find the highest common divisor of 760, 762, 474, 746 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, 762, 474, 746 i.e 2.
3. How can I use the GCD of 760, 762, 474, 746Calculator?
Out the numbers 760, 762, 474, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.