GCD of 770, 748, 292, 500 Calculator

Given Input numbers are 770, 748, 292, 500

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

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (770, 748, 292, 500) = 2.

Given numbers are 770, 748, 292, 500

The list of prime factors of all numbers are

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 292 are 2 x 2 x 73

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 770, 748, 292, 500 is 2.

Given numbers are 770, 748, 292, 500

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

Apply this formula for all numbers.

Step1:

LCM(770, 748) = 26180

GCD(770, 748) = ( 770 x 748 ) / 26180

= 770 / 748

= 770

Step2:

LCM(22, 292) = 3212

GCD(22, 292) = ( 22 x 292 ) / 3212

= 22 / 292

= 22

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 770, 748, 292, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 104, 213, 754
• GCD of 939, 824, 725, 216
• GCD of 929, 579, 919, 473
• GCD of 819, 340, 620, 209
• GCD of 461, 338, 494, 109

Given numbers are 770, 748, 292, 500
The greatest common divisor of numbers 770, 748, 292, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 748, 292, 500 is 2.

1. What is the GCD of 770, 748, 292, 500?

GCD of given numbers 770, 748, 292, 500 is 2

2. How to calculate the greatest common divisor of 770, 748, 292, 500?

We can find the highest common divisor of 770, 748, 292, 500 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 770, 748, 292, 500 i.e 2.

3. How can I use the GCD of 770, 748, 292, 500Calculator?

Out the numbers 770, 748, 292, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.