GCD of 782, 974, 126, 650 Calculator

Given Input numbers are 782, 974, 126, 650

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

GCD of numbers is the greatest common divisor

So, the GCD (782, 974, 126, 650) = 2.

Given numbers are 782, 974, 126, 650

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 974 are 2 x 487

Prime factors of 126 are 2 x 3 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 782, 974, 126, 650 is 2.

Given numbers are 782, 974, 126, 650

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

Apply this formula for all numbers.

Step1:

LCM(782, 974) = 380834

GCD(782, 974) = ( 782 x 974 ) / 380834

= 782 / 974

= 782

Step2:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2

Step3:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2

So, Greatest Common Divisor of 782, 974, 126, 650 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 383, 836, 509
• GCD of 304, 503, 975, 425
• GCD of 336, 742, 222, 996
• GCD of 583, 346, 994, 426
• GCD of 758, 148, 305, 229

Given numbers are 782, 974, 126, 650
The greatest common divisor of numbers 782, 974, 126, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 974, 126, 650 is 2.

1. What is the GCD of 782, 974, 126, 650?

GCD of given numbers 782, 974, 126, 650 is 2

2. How to calculate the greatest common divisor of 782, 974, 126, 650?

We can find the highest common divisor of 782, 974, 126, 650 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 782, 974, 126, 650 i.e 2.

3. How can I use the GCD of 782, 974, 126, 650Calculator?

Out the numbers 782, 974, 126, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.