Online GCD Calculator is useful to find the GCD of 740, 630, 676, 840 quickly. Get the easiest ways to solve the greatest common divisor of 740, 630, 676, 840 i.e 2 in different methods as follows.
Given Input numbers are 740, 630, 676, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
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 (740, 630, 676, 840) = 2.
Given numbers are 740, 630, 676, 840
The list of prime factors of all numbers are
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 740, 630, 676, 840 is 2.
Given numbers are 740, 630, 676, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(740, 630) = 46620
GCD(740, 630) = ( 740 x 630 ) / 46620
= 740 / 630
= 740
Step2:
LCM(10, 676) = 3380
GCD(10, 676) = ( 10 x 676 ) / 3380
= 10 / 676
= 10
Step3:
LCM(2, 840) = 840
GCD(2, 840) = ( 2 x 840 ) / 840
= 2 / 840
= 2
So, Greatest Common Divisor of 740, 630, 676, 840 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 740, 630, 676, 840
The greatest common divisor of numbers 740, 630, 676, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 630, 676, 840 is 2.
1. What is the GCD of 740, 630, 676, 840?
GCD of given numbers 740, 630, 676, 840 is 2
2. How to calculate the greatest common divisor of 740, 630, 676, 840?
We can find the highest common divisor of 740, 630, 676, 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 740, 630, 676, 840 i.e 2.
3. How can I use the GCD of 740, 630, 676, 840Calculator?
Out the numbers 740, 630, 676, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.