Online GCD Calculator is useful to find the GCD of 822, 140, 652, 672 quickly. Get the easiest ways to solve the greatest common divisor of 822, 140, 652, 672 i.e 2 in different methods as follows.
Given Input numbers are 822, 140, 652, 672
In the factoring method, we have to find the divisors of all numbers
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
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
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
GCD of numbers is the greatest common divisor
So, the GCD (822, 140, 652, 672) = 2.
Given numbers are 822, 140, 652, 672
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 652 are 2 x 2 x 163
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 822, 140, 652, 672 is 2.
Given numbers are 822, 140, 652, 672
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 140) = 57540
GCD(822, 140) = ( 822 x 140 ) / 57540
= 822 / 140
= 822
Step2:
LCM(2, 652) = 652
GCD(2, 652) = ( 2 x 652 ) / 652
= 2 / 652
= 2
Step3:
LCM(2, 672) = 672
GCD(2, 672) = ( 2 x 672 ) / 672
= 2 / 672
= 2
So, Greatest Common Divisor of 822, 140, 652, 672 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 140, 652, 672
The greatest common divisor of numbers 822, 140, 652, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 140, 652, 672 is 2.
1. What is the GCD of 822, 140, 652, 672?
GCD of given numbers 822, 140, 652, 672 is 2
2. How to calculate the greatest common divisor of 822, 140, 652, 672?
We can find the highest common divisor of 822, 140, 652, 672 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 822, 140, 652, 672 i.e 2.
3. How can I use the GCD of 822, 140, 652, 672Calculator?
Out the numbers 822, 140, 652, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.