Online GCD Calculator is useful to find the GCD of 760, 536, 70, 496 quickly. Get the easiest ways to solve the greatest common divisor of 760, 536, 70, 496 i.e 2 in different methods as follows.
Given Input numbers are 760, 536, 70, 496
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 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 70 :
The positive integer divisors of 70 that completely divides 70 are.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
GCD of numbers is the greatest common divisor
So, the GCD (760, 536, 70, 496) = 2.
Given numbers are 760, 536, 70, 496
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 536 are 2 x 2 x 2 x 67
Prime factors of 70 are 2 x 5 x 7
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 760, 536, 70, 496 is 2.
Given numbers are 760, 536, 70, 496
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(760, 536) = 50920
GCD(760, 536) = ( 760 x 536 ) / 50920
= 760 / 536
= 760
Step2:
LCM(8, 70) = 280
GCD(8, 70) = ( 8 x 70 ) / 280
= 8 / 70
= 8
Step3:
LCM(2, 496) = 496
GCD(2, 496) = ( 2 x 496 ) / 496
= 2 / 496
= 2
So, Greatest Common Divisor of 760, 536, 70, 496 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 760, 536, 70, 496
The greatest common divisor of numbers 760, 536, 70, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 536, 70, 496 is 2.
1. What is the GCD of 760, 536, 70, 496?
GCD of given numbers 760, 536, 70, 496 is 2
2. How to calculate the greatest common divisor of 760, 536, 70, 496?
We can find the highest common divisor of 760, 536, 70, 496 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, 536, 70, 496 i.e 2.
3. How can I use the GCD of 760, 536, 70, 496Calculator?
Out the numbers 760, 536, 70, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.