Online GCD Calculator is useful to find the GCD of 147, 200, 756, 970 quickly. Get the easiest ways to solve the greatest common divisor of 147, 200, 756, 970 i.e 1 in different methods as follows.
Given Input numbers are 147, 200, 756, 970
In the factoring method, we have to find the divisors of all numbers
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
GCD of numbers is the greatest common divisor
So, the GCD (147, 200, 756, 970) = 1.
Given numbers are 147, 200, 756, 970
The list of prime factors of all numbers are
Prime factors of 147 are 3 x 7 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 970 are 2 x 5 x 97
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 147, 200, 756, 970
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(147, 200) = 29400
GCD(147, 200) = ( 147 x 200 ) / 29400
= 147 / 200
= 147
Step2:
LCM(1, 756) = 756
GCD(1, 756) = ( 1 x 756 ) / 756
= 1 / 756
= 1
Step3:
LCM(1, 970) = 970
GCD(1, 970) = ( 1 x 970 ) / 970
= 1 / 970
= 1
So, Greatest Common Divisor of 147, 200, 756, 970 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 147, 200, 756, 970
The greatest common divisor of numbers 147, 200, 756, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 200, 756, 970 is 1.
1. What is the GCD of 147, 200, 756, 970?
GCD of given numbers 147, 200, 756, 970 is 1
2. How to calculate the greatest common divisor of 147, 200, 756, 970?
We can find the highest common divisor of 147, 200, 756, 970 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 147, 200, 756, 970 i.e 1.
3. How can I use the GCD of 147, 200, 756, 970Calculator?
Out the numbers 147, 200, 756, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.