GCD of 780, 650, 742, 876 Calculator

Given Input numbers are 780, 650, 742, 876

In the factoring method, we have to find the divisors of all numbers

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

GCD of numbers is the greatest common divisor

So, the GCD (780, 650, 742, 876) = 2.

Given numbers are 780, 650, 742, 876

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 742 are 2 x 7 x 53

Prime factors of 876 are 2 x 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 780, 650, 742, 876 is 2.

Given numbers are 780, 650, 742, 876

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(780, 650) = 3900

GCD(780, 650) = ( 780 x 650 ) / 3900

= 780 / 650

= 780

Step2:

LCM(130, 742) = 48230

GCD(130, 742) = ( 130 x 742 ) / 48230

= 130 / 742

= 130

Step3:

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

= 2 / 876

= 2

So, Greatest Common Divisor of 780, 650, 742, 876 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 884, 571, 130
• GCD of 860, 792, 673, 148
• GCD of 696, 568, 913, 645
• GCD of 211, 519, 966, 813
• GCD of 443, 802, 822, 437

Given numbers are 780, 650, 742, 876
The greatest common divisor of numbers 780, 650, 742, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 650, 742, 876 is 2.

1. What is the GCD of 780, 650, 742, 876?

GCD of given numbers 780, 650, 742, 876 is 2

2. How to calculate the greatest common divisor of 780, 650, 742, 876?

We can find the highest common divisor of 780, 650, 742, 876 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 780, 650, 742, 876 i.e 2.

3. How can I use the GCD of 780, 650, 742, 876Calculator?

Out the numbers 780, 650, 742, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.