How to Find GCF of 2403/100, 1225/6654?

GCF of 2403/100, 1225/6654

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 2403/100, 1225/6654 i.e 1/332700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2403/100, 1225/6654.

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 2403/100,1225/6654?

Given fractions are 2403/100,1225/6654

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 2403/100,1225/6654, numerators are 2403,1225

Denominators are 100,6654

The GCF of 2403,1225 is 1 .

LCM of 100,6654 is 332700.

The greatest common factor of 2403/100,1225/6654 = [GCF of 2403,1225]/[LCM of 100,6654]= 1/332700

Therefore, the GCF of 2403/100,1225/6654 is 1/332700.

Greatest Common Factor of 2403,1225

To find the highest common factor of 2403,1225, we have to find the factors of both numbers and list the highest common factor.

The factors of 2403 are 1, 3, 9, 27, 89, 267, 801, 2403

The factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225

The HCF of 2403,1225 is 1.

Lets's calculate GCF of 2403,1225

Greatest Common Factor (GCF) of 2403,1225 By Common Division

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

Greatest Common Factor of 2403,1225 By Matching Biggest Common Factor Method

Now, list down the factors of 2403

1,3,9,27,89,267,801,2403

Now, list down the factors of 1225

1,5,7,25,35,49,175,245,1225

Greatest Common Factor

We found the factors 2403,1225 . The biggest common factor number is the GCF number.
So the greatest common factor 2403,1225 is 1.

Lets's calculate LCM of 100,6654

Lowest Common Multiple of 100,6654 using Common Division

2	100, 6654
	50, 3327

∴ So the LCM of the given numbers is 2 x 50 x 3327 = 332700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332700

Therefore, the GCF of Fractions 2403/100,1225/6654 is 1/332700

Least Common Multiple of 100,6654 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 100,6654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,6654) = 2

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

GCF(100,6654) x common factors =2 x 1 = 2

LCM(100,6654) = ( 100 × 6654 ) / 2

LCM(100,6654) = 665400 / 2

LCM(100,6654) = 332700

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2403/100, 1225/6654

1. What is the HCF of 2403,1225?

The HCF of 2403,1225 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 2403/100, 1225/6654?

Answer: GCF of Numerators as per given numbers 2403/100, 1225/6654 is

GCF of Numerators i.e. for 2403,1225 is 1

LCM of denominators i.e. for 100,6654 is 332700.

Thus, GCF of Fractions is 1/332700.Finally, GCF of Fractions for 2403/100, 1225/6654 is 1/332700.