GCD of 766, 698, 270, 974 Calculator

Given Input numbers are 766, 698, 270, 974

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

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 974 :

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

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (766, 698, 270, 974) = 2.

Given numbers are 766, 698, 270, 974

The list of prime factors of all numbers are

Prime factors of 766 are 2 x 383

Prime factors of 698 are 2 x 349

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 766, 698, 270, 974 is 2.

Given numbers are 766, 698, 270, 974

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

Apply this formula for all numbers.

Step1:

LCM(766, 698) = 267334

GCD(766, 698) = ( 766 x 698 ) / 267334

= 766 / 698

= 766

Step2:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 766, 698, 270, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 377, 989, 627
• GCD of 280, 996, 634, 564
• GCD of 976, 388, 584, 668
• GCD of 163, 255, 849, 981
• GCD of 182, 468, 254, 837

Given numbers are 766, 698, 270, 974
The greatest common divisor of numbers 766, 698, 270, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 698, 270, 974 is 2.

1. What is the GCD of 766, 698, 270, 974?

GCD of given numbers 766, 698, 270, 974 is 2

2. How to calculate the greatest common divisor of 766, 698, 270, 974?

We can find the highest common divisor of 766, 698, 270, 974 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 766, 698, 270, 974 i.e 2.

3. How can I use the GCD of 766, 698, 270, 974Calculator?

Out the numbers 766, 698, 270, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.