GCD of 120, 735, 297, 948 Calculator

Given Input numbers are 120, 735, 297, 948

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (120, 735, 297, 948) = 3.

Given numbers are 120, 735, 297, 948

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 120, 735, 297, 948 is 3.

Given numbers are 120, 735, 297, 948

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

Apply this formula for all numbers.

Step1:

LCM(120, 735) = 5880

GCD(120, 735) = ( 120 x 735 ) / 5880

= 120 / 735

= 120

Step2:

LCM(15, 297) = 1485

GCD(15, 297) = ( 15 x 297 ) / 1485

= 15 / 297

= 15

Step3:

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

= 3 / 948

= 3

So, Greatest Common Divisor of 120, 735, 297, 948 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 876, 515, 650
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• GCD of 812, 166, 571, 916
• GCD of 104, 721, 207, 308

Given numbers are 120, 735, 297, 948
The greatest common divisor of numbers 120, 735, 297, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 735, 297, 948 is 3.

1. What is the GCD of 120, 735, 297, 948?

GCD of given numbers 120, 735, 297, 948 is 3

2. How to calculate the greatest common divisor of 120, 735, 297, 948?

We can find the highest common divisor of 120, 735, 297, 948 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 120, 735, 297, 948 i.e 3.

3. How can I use the GCD of 120, 735, 297, 948Calculator?

Out the numbers 120, 735, 297, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.