Online GCD Calculator is useful to find the GCD of 770, 532, 908, 714 quickly. Get the easiest ways to solve the greatest common divisor of 770, 532, 908, 714 i.e 2 in different methods as follows.
Given Input numbers are 770, 532, 908, 714
In the factoring method, we have to find the divisors of all numbers
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 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (770, 532, 908, 714) = 2.
Given numbers are 770, 532, 908, 714
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 908 are 2 x 2 x 227
Prime factors of 714 are 2 x 3 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 770, 532, 908, 714 is 2.
Given numbers are 770, 532, 908, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 532) = 29260
GCD(770, 532) = ( 770 x 532 ) / 29260
= 770 / 532
= 770
Step2:
LCM(14, 908) = 6356
GCD(14, 908) = ( 14 x 908 ) / 6356
= 14 / 908
= 14
Step3:
LCM(2, 714) = 714
GCD(2, 714) = ( 2 x 714 ) / 714
= 2 / 714
= 2
So, Greatest Common Divisor of 770, 532, 908, 714 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 532, 908, 714
The greatest common divisor of numbers 770, 532, 908, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 532, 908, 714 is 2.
1. What is the GCD of 770, 532, 908, 714?
GCD of given numbers 770, 532, 908, 714 is 2
2. How to calculate the greatest common divisor of 770, 532, 908, 714?
We can find the highest common divisor of 770, 532, 908, 714 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 770, 532, 908, 714 i.e 2.
3. How can I use the GCD of 770, 532, 908, 714Calculator?
Out the numbers 770, 532, 908, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.