GCD of 776, 700, 308, 698 Calculator

Given Input numbers are 776, 700, 308, 698

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

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (776, 700, 308, 698) = 2.

Given numbers are 776, 700, 308, 698

The list of prime factors of all numbers are

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 776, 700, 308, 698 is 2.

Given numbers are 776, 700, 308, 698

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

Apply this formula for all numbers.

Step1:

LCM(776, 700) = 135800

GCD(776, 700) = ( 776 x 700 ) / 135800

= 776 / 700

= 776

Step2:

LCM(4, 308) = 308

GCD(4, 308) = ( 4 x 308 ) / 308

= 4 / 308

= 4

Step3:

LCM(4, 698) = 1396

GCD(4, 698) = ( 4 x 698 ) / 1396

= 4 / 698

= 4

So, Greatest Common Divisor of 776, 700, 308, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 645, 579, 136
• GCD of 504, 608, 260, 335
• GCD of 895, 541, 429, 425
• GCD of 403, 122, 943, 588
• GCD of 246, 156, 911, 531

Given numbers are 776, 700, 308, 698
The greatest common divisor of numbers 776, 700, 308, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 776, 700, 308, 698 is 2.

1. What is the GCD of 776, 700, 308, 698?

GCD of given numbers 776, 700, 308, 698 is 2

2. How to calculate the greatest common divisor of 776, 700, 308, 698?

We can find the highest common divisor of 776, 700, 308, 698 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 776, 700, 308, 698 i.e 2.

3. How can I use the GCD of 776, 700, 308, 698Calculator?

Out the numbers 776, 700, 308, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.