How to Find GCF of 9393/848, 4601/3750?

GCF of 9393/848, 4601/3750

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 9393/848, 4601/3750 i.e 1/1590000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9393/848, 4601/3750.

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 9393/848,4601/3750?

Given fractions are 9393/848,4601/3750

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 9393/848,4601/3750, numerators are 9393,4601

Denominators are 848,3750

The GCF of 9393,4601 is 1 .

LCM of 848,3750 is 1590000.

The greatest common factor of 9393/848,4601/3750 = [GCF of 9393,4601]/[LCM of 848,3750]= 1/1590000

Therefore, the GCF of 9393/848,4601/3750 is 1/1590000.

Greatest Common Factor of 9393,4601

To find the highest common factor of 9393,4601, we have to find the factors of both numbers and list the highest common factor.

The factors of 9393 are 1, 3, 31, 93, 101, 303, 3131, 9393

The factors of 4601 are 1, 43, 107, 4601

The HCF of 9393,4601 is 1.

Lets's calculate GCF of 9393,4601

Greatest Common Factor (GCF) of 9393,4601 By Common Division

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

Greatest Common Factor of 9393,4601 By Matching Biggest Common Factor Method

Now, list down the factors of 9393

1,3,31,93,101,303,3131,9393

Now, list down the factors of 4601

1,43,107,4601

Greatest Common Factor

We found the factors 9393,4601 . The biggest common factor number is the GCF number.
So the greatest common factor 9393,4601 is 1.

Lets's calculate LCM of 848,3750

Lowest Common Multiple of 848,3750 using Common Division

2	848, 3750
	424, 1875

∴ So the LCM of the given numbers is 2 x 424 x 1875 = 1590000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1590000

Therefore, the GCF of Fractions 9393/848,4601/3750 is 1/1590000

Least Common Multiple of 848,3750 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 848,3750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,3750) = 2

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

GCF(848,3750) x common factors =2 x 1 = 2

LCM(848,3750) = ( 848 × 3750 ) / 2

LCM(848,3750) = 3180000 / 2

LCM(848,3750) = 1590000

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9393/848, 4601/3750

1. What is the HCF of 9393,4601?

The HCF of 9393,4601 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 9393/848, 4601/3750?

Answer: GCF of Numerators as per given numbers 9393/848, 4601/3750 is

GCF of Numerators i.e. for 9393,4601 is 1

LCM of denominators i.e. for 848,3750 is 1590000.

Thus, GCF of Fractions is 1/1590000.Finally, GCF of Fractions for 9393/848, 4601/3750 is 1/1590000.