Greatest Common Factor of 6304/817, 1072/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6304/817, 1072/485

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 6304/817,1072/485

Given fractions are 6304/817,1072/485

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 6304,1072

Greatest Common Factor of Numerators i.e. GCF of 6304,1072 is 16 .

LCM of Denominators means LCM of 817,485 as per the given fractions.

LCM of 817,485 is 396245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6304,1072

GCF of Fractions 6304/817,1072/485 is 16/396245

2 6304, 1072
2 3152, 536
2 1576, 268
2 788, 134
394, 67

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 6304,1072 By Matching Biggest Common Factor Method

Greatest Common Factor of 6304,1072 By Matching Biggest Common Factor Method

Factors of 6304

List of positive integer factors of 6304 that divides 6304 without a remainder.

1,2,4,8,16,32,197,394,788,1576,3152,6304

Factors of 1072

List of positive integer factors of 1072 that divides 1072 without a remainder.

1,2,4,8,16,67,134,268,536,1072

Greatest Common Factor

We found the factors 6304,1072 . The biggest common factor number is the GCF number.
So the greatest common factor 6304,1072 is 16.

Lets's calculate LCM of 817,485

Given numbers has no common factors except 1. So, there LCM is their product i.e 396245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/396245

Therefore, the GCF of Fractions 6304/817,1072/485 is 16/396245

Least Common Multiple of 817,485 with GCF Formula

Least Common Multiple of 817,485 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 817,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,485) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(817,485) x common factors =1 x 1 = 1

LCM(817,485) = ( 817 × 485 ) / 1

LCM(817,485) = 396245 / 1

LCM(817,485) = 396245


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 6304/817, 1072/485

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 6304/817, 1072/485?

Answer: GCF of Numerators as per given numbers 6304/817, 1072/485 is

GCF of Numerators i.e. for 6304,1072 is 16

LCM of denominators i.e. for 817,485 is 396245.

Thus, GCF of Fractions is 16/396245.Finally, GCF of Fractions for 6304/817, 1072/485 is 16/396245.