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 778, 962, 86, 672 i.e. 2 largest integer that divides all the numbers equally.
GCD of 778, 962, 86, 672 is 2
GCD(778, 962, 86, 672) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 778, 962, 86, 672 is 2
GCD(778, 962, 86, 672) = 2
Given Input numbers are 778, 962, 86, 672
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Greatest Common Divisior
We found the divisors of 778, 962, 86, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 962, 86, 672 is 2.
Therefore, GCD of numbers 778, 962, 86, 672 is 2
Given Input Data is 778, 962, 86, 672
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 778 is 2 x 389
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 86 is 2 x 43
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(778, 962) = 374218
GCD(778, 962) = ( 778 x 962 ) / 374218
GCD(778, 962) = 748436 / 374218
GCD(778, 962) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 86) = 86
GCD(2, 86) = ( 2 x 86 ) / 86
GCD(2, 86) = 172 / 86
GCD(2, 86) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 672
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 672) = 672
GCD(2, 672) = ( 2 x 672 ) / 672
GCD(2, 672) = 1344 / 672
GCD(2, 672) = 2
GCD of 778, 962, 86, 672 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 778, 962, 86, 672?
GCD of 778, 962, 86, 672 is 2
2. Where do I get the detailed procedure to find GCD of 778, 962, 86, 672?
You can find a detailed procedure to find GCD of 778, 962, 86, 672 on our page.
3. How to find GCD of 778, 962, 86, 672 on a calculator?
You can find the GCD of 778, 962, 86, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.