Online GCD Calculator is useful to find the GCD of 951, 756, 423, 840 quickly. Get the easiest ways to solve the greatest common divisor of 951, 756, 423, 840 i.e 3 in different methods as follows.
Given Input numbers are 951, 756, 423, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 951 :
The positive integer divisors of 951 that completely divides 951 are.
1, 3, 317, 951
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 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (951, 756, 423, 840) = 3.
Given numbers are 951, 756, 423, 840
The list of prime factors of all numbers are
Prime factors of 951 are 3 x 317
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 423 are 3 x 3 x 47
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 951, 756, 423, 840 is 3.
Given numbers are 951, 756, 423, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(951, 756) = 239652
GCD(951, 756) = ( 951 x 756 ) / 239652
= 951 / 756
= 951
Step2:
LCM(3, 423) = 423
GCD(3, 423) = ( 3 x 423 ) / 423
= 3 / 423
= 3
Step3:
LCM(3, 840) = 840
GCD(3, 840) = ( 3 x 840 ) / 840
= 3 / 840
= 3
So, Greatest Common Divisor of 951, 756, 423, 840 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 951, 756, 423, 840
The greatest common divisor of numbers 951, 756, 423, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 951, 756, 423, 840 is 3.
1. What is the GCD of 951, 756, 423, 840?
GCD of given numbers 951, 756, 423, 840 is 3
2. How to calculate the greatest common divisor of 951, 756, 423, 840?
We can find the highest common divisor of 951, 756, 423, 840 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 951, 756, 423, 840 i.e 3.
3. How can I use the GCD of 951, 756, 423, 840Calculator?
Out the numbers 951, 756, 423, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.