GCD of 748, 140, 766, 276 Calculator

Given Input numbers are 748, 140, 766, 276

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

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 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 766 :

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

1, 2, 383, 766

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

GCD of numbers is the greatest common divisor

So, the GCD (748, 140, 766, 276) = 2.

Given numbers are 748, 140, 766, 276

The list of prime factors of all numbers are

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

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 766 are 2 x 383

Prime factors of 276 are 2 x 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 748, 140, 766, 276 is 2.

Given numbers are 748, 140, 766, 276

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

Apply this formula for all numbers.

Step1:

LCM(748, 140) = 26180

GCD(748, 140) = ( 748 x 140 ) / 26180

= 748 / 140

= 748

Step2:

LCM(4, 766) = 1532

GCD(4, 766) = ( 4 x 766 ) / 1532

= 4 / 766

= 4

Step3:

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

= 2 / 276

= 2

So, Greatest Common Divisor of 748, 140, 766, 276 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 719, 588, 877
• GCD of 676, 892, 304, 187
• GCD of 460, 455, 978, 801
• GCD of 971, 297, 226, 455
• GCD of 721, 321, 195, 929

Given numbers are 748, 140, 766, 276
The greatest common divisor of numbers 748, 140, 766, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 140, 766, 276 is 2.

1. What is the GCD of 748, 140, 766, 276?

GCD of given numbers 748, 140, 766, 276 is 2

2. How to calculate the greatest common divisor of 748, 140, 766, 276?

We can find the highest common divisor of 748, 140, 766, 276 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 748, 140, 766, 276 i.e 2.

3. How can I use the GCD of 748, 140, 766, 276Calculator?

Out the numbers 748, 140, 766, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.