GCD of 746, 782, 980, 790 Calculator

Given Input numbers are 746, 782, 980, 790

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 782 :

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

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

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

GCD of numbers is the greatest common divisor

So, the GCD (746, 782, 980, 790) = 2.

Given numbers are 746, 782, 980, 790

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 782 are 2 x 17 x 23

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 790 are 2 x 5 x 79

The highest common occurrence is 2¹

Therefore, GCD of 746, 782, 980, 790 is 2.

Given numbers are 746, 782, 980, 790

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

Apply this formula for all numbers.

Step1:

LCM(746, 782) = 291686

GCD(746, 782) = ( 746 x 782 ) / 291686

= 746 / 782

= 746

Step2:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

Step3:

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

= 2 / 790

= 2

So, Greatest Common Divisor of 746, 782, 980, 790 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 469, 117, 217
• GCD of 193, 569, 711, 117
• GCD of 636, 756, 694, 646
• GCD of 220, 840, 664, 178
• GCD of 393, 705, 227, 477

Given numbers are 746, 782, 980, 790
The greatest common divisor of numbers 746, 782, 980, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 782, 980, 790 is 2.

1. What is the GCD of 746, 782, 980, 790?

GCD of given numbers 746, 782, 980, 790 is 2

2. How to calculate the greatest common divisor of 746, 782, 980, 790?

We can find the highest common divisor of 746, 782, 980, 790 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 746, 782, 980, 790 i.e 2.

3. How can I use the GCD of 746, 782, 980, 790Calculator?

Out the numbers 746, 782, 980, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.