Online GCD Calculator is useful to find the GCD of 976, 898, 358, 870 quickly. Get the easiest ways to solve the greatest common divisor of 976, 898, 358, 870 i.e 2 in different methods as follows.
Given Input numbers are 976, 898, 358, 870
In the factoring method, we have to find the divisors of all numbers
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
GCD of numbers is the greatest common divisor
So, the GCD (976, 898, 358, 870) = 2.
Given numbers are 976, 898, 358, 870
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 898 are 2 x 449
Prime factors of 358 are 2 x 179
Prime factors of 870 are 2 x 3 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 976, 898, 358, 870 is 2.
Given numbers are 976, 898, 358, 870
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 898) = 438224
GCD(976, 898) = ( 976 x 898 ) / 438224
= 976 / 898
= 976
Step2:
LCM(2, 358) = 358
GCD(2, 358) = ( 2 x 358 ) / 358
= 2 / 358
= 2
Step3:
LCM(2, 870) = 870
GCD(2, 870) = ( 2 x 870 ) / 870
= 2 / 870
= 2
So, Greatest Common Divisor of 976, 898, 358, 870 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 976, 898, 358, 870
The greatest common divisor of numbers 976, 898, 358, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 898, 358, 870 is 2.
1. What is the GCD of 976, 898, 358, 870?
GCD of given numbers 976, 898, 358, 870 is 2
2. How to calculate the greatest common divisor of 976, 898, 358, 870?
We can find the highest common divisor of 976, 898, 358, 870 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 976, 898, 358, 870 i.e 2.
3. How can I use the GCD of 976, 898, 358, 870Calculator?
Out the numbers 976, 898, 358, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.