How to Find GCF of 448/743, 9604/1766?

GCF of 448/743, 9604/1766

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 448/743, 9604/1766 i.e 28/1312138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/743, 9604/1766.

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 448/743,9604/1766?

Given fractions are 448/743,9604/1766

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 448/743,9604/1766, numerators are 448,9604

Denominators are 743,1766

The GCF of 448,9604 is 28 .

LCM of 743,1766 is 1312138.

The greatest common factor of 448/743,9604/1766 = [GCF of 448,9604]/[LCM of 743,1766]= 28/1312138

Therefore, the GCF of 448/743,9604/1766 is 28/1312138.

Greatest Common Factor of 448,9604

To find the highest common factor of 448,9604, we have to find the factors of both numbers and list the highest common factor.

The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

The factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604

The HCF of 448,9604 is 28.

Lets's calculate GCF of 448,9604

Greatest Common Factor (GCF) of 448,9604 By Common Division

2	448, 9604
2	224, 4802
7	112, 2401
	16, 343

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 448,9604 By Matching Biggest Common Factor Method

Now, list down the factors of 448

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Now, list down the factors of 9604

1,2,4,7,14,28,49,98,196,343,686,1372,2401,4802,9604

Greatest Common Factor

We found the factors 448,9604 . The biggest common factor number is the GCF number.
So the greatest common factor 448,9604 is 28.

Lets's calculate LCM of 743,1766

Lowest Common Multiple of 743,1766 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1312138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/1312138

Therefore, the GCF of Fractions 448/743,9604/1766 is 28/1312138

Least Common Multiple of 743,1766 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 743,1766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,1766) = 1

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

GCF(743,1766) x common factors =1 x 1 = 1

LCM(743,1766) = ( 743 × 1766 ) / 1

LCM(743,1766) = 1312138 / 1

LCM(743,1766) = 1312138

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FAQs on GCF of Fractions of 448/743, 9604/1766

1. What is the HCF of 448,9604?

The HCF of 448,9604 is 28

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 448/743, 9604/1766?

Answer: GCF of Numerators as per given numbers 448/743, 9604/1766 is

GCF of Numerators i.e. for 448,9604 is 28

LCM of denominators i.e. for 743,1766 is 1312138.

Thus, GCF of Fractions is 28/1312138.Finally, GCF of Fractions for 448/743, 9604/1766 is 28/1312138.