GCD of 770, 280, 498, 616 Calculator

Given Input numbers are 770, 280, 498, 616

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (770, 280, 498, 616) = 2.

Given numbers are 770, 280, 498, 616

The list of prime factors of all numbers are

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

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 498 are 2 x 3 x 83

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 770, 280, 498, 616 is 2.

Given numbers are 770, 280, 498, 616

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

Apply this formula for all numbers.

Step1:

LCM(770, 280) = 3080

GCD(770, 280) = ( 770 x 280 ) / 3080

= 770 / 280

= 770

Step2:

LCM(70, 498) = 17430

GCD(70, 498) = ( 70 x 498 ) / 17430

= 70 / 498

= 70

Step3:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

So, Greatest Common Divisor of 770, 280, 498, 616 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 897, 687, 320
• GCD of 192, 529, 446, 821
• GCD of 714, 308, 421, 712
• GCD of 417, 953, 476, 187
• GCD of 204, 132, 234, 837

Given numbers are 770, 280, 498, 616
The greatest common divisor of numbers 770, 280, 498, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 280, 498, 616 is 2.

1. What is the GCD of 770, 280, 498, 616?

GCD of given numbers 770, 280, 498, 616 is 2

2. How to calculate the greatest common divisor of 770, 280, 498, 616?

We can find the highest common divisor of 770, 280, 498, 616 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, 280, 498, 616 i.e 2.

3. How can I use the GCD of 770, 280, 498, 616Calculator?

Out the numbers 770, 280, 498, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.