Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 751, 972, 448, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 751, 972, 448, 959 is 1
GCD(751, 972, 448, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 751, 972, 448, 959 is 1
GCD(751, 972, 448, 959) = 1
Given Input numbers are 751, 972, 448, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 751, 972, 448, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 751, 972, 448, 959 is 1.
Therefore, GCD of numbers 751, 972, 448, 959 is 1
Given Input Data is 751, 972, 448, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 751 is 751
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 959 is 7 x 137
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(751, 972) = 729972
GCD(751, 972) = ( 751 x 972 ) / 729972
GCD(751, 972) = 729972 / 729972
GCD(751, 972) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
GCD(1, 448) = 448 / 448
GCD(1, 448) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 751, 972, 448, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 751, 972, 448, 959?
GCD of 751, 972, 448, 959 is 1
2. Where do I get the detailed procedure to find GCD of 751, 972, 448, 959?
You can find a detailed procedure to find GCD of 751, 972, 448, 959 on our page.
3. How to find GCD of 751, 972, 448, 959 on a calculator?
You can find the GCD of 751, 972, 448, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.