How to Find GCF of 4957/320, 4413/2304?

GCF of 4957/320, 4413/2304

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4957/320, 4413/2304 i.e 1/11520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4957/320, 4413/2304.

Enter two or more fractions separated by "commas"

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

What is the GCF of 4957/320,4413/2304?

Given fractions are 4957/320,4413/2304

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 4957/320,4413/2304, numerators are 4957,4413

Denominators are 320,2304

The GCF of 4957,4413 is 1 .

LCM of 320,2304 is 11520.

The greatest common factor of 4957/320,4413/2304 = [GCF of 4957,4413]/[LCM of 320,2304]= 1/11520

Therefore, the GCF of 4957/320,4413/2304 is 1/11520.

Greatest Common Factor of 4957,4413

To find the highest common factor of 4957,4413, we have to find the factors of both numbers and list the highest common factor.

The factors of 4957 are 1, 4957

The factors of 4413 are 1, 3, 1471, 4413

The HCF of 4957,4413 is 1.

Lets's calculate GCF of 4957,4413

Greatest Common Factor (GCF) of 4957,4413 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4957,4413 By Matching Biggest Common Factor Method

Now, list down the factors of 4957

1,4957

Now, list down the factors of 4413

1,3,1471,4413

Greatest Common Factor

We found the factors 4957,4413 . The biggest common factor number is the GCF number.
So the greatest common factor 4957,4413 is 1.

Lets's calculate LCM of 320,2304

Lowest Common Multiple of 320,2304 using Common Division

2	320, 2304
2	160, 1152
2	80, 576
2	40, 288
2	20, 144
2	10, 72
	5, 36

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 36 = 11520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11520

Therefore, the GCF of Fractions 4957/320,4413/2304 is 1/11520

Least Common Multiple of 320,2304 with GCF Formula

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

We need to calculate greatest common factor of 320,2304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,2304) = 64

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

GCF(320,2304) x common factors =64 x 1 = 64

LCM(320,2304) = ( 320 × 2304 ) / 64

LCM(320,2304) = 737280 / 64

LCM(320,2304) = 11520

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4957/320, 4413/2304

1. What is the HCF of 4957,4413?

The HCF of 4957,4413 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 4957/320, 4413/2304?

Answer: GCF of Numerators as per given numbers 4957/320, 4413/2304 is

GCF of Numerators i.e. for 4957,4413 is 1

LCM of denominators i.e. for 320,2304 is 11520.

Thus, GCF of Fractions is 1/11520.Finally, GCF of Fractions for 4957/320, 4413/2304 is 1/11520.