Online GCD Calculator is useful to find the GCD of 970, 996, 784, 140 quickly. Get the easiest ways to solve the greatest common divisor of 970, 996, 784, 140 i.e 2 in different methods as follows.
Given Input numbers are 970, 996, 784, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (970, 996, 784, 140) = 2.
Given numbers are 970, 996, 784, 140
The list of prime factors of all numbers are
Prime factors of 970 are 2 x 5 x 97
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 970, 996, 784, 140 is 2.
Given numbers are 970, 996, 784, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(970, 996) = 483060
GCD(970, 996) = ( 970 x 996 ) / 483060
= 970 / 996
= 970
Step2:
LCM(2, 784) = 784
GCD(2, 784) = ( 2 x 784 ) / 784
= 2 / 784
= 2
Step3:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
So, Greatest Common Divisor of 970, 996, 784, 140 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 970, 996, 784, 140
The greatest common divisor of numbers 970, 996, 784, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 996, 784, 140 is 2.
1. What is the GCD of 970, 996, 784, 140?
GCD of given numbers 970, 996, 784, 140 is 2
2. How to calculate the greatest common divisor of 970, 996, 784, 140?
We can find the highest common divisor of 970, 996, 784, 140 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 970, 996, 784, 140 i.e 2.
3. How can I use the GCD of 970, 996, 784, 140Calculator?
Out the numbers 970, 996, 784, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.