How to Find GCF of 7741/482, 6573/4782?

GCF of 7741/482, 6573/4782

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 7741/482, 6573/4782 i.e 1/1152462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7741/482, 6573/4782.

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 7741/482,6573/4782?

Given fractions are 7741/482,6573/4782

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 7741/482,6573/4782, numerators are 7741,6573

Denominators are 482,4782

The GCF of 7741,6573 is 1 .

LCM of 482,4782 is 1152462.

The greatest common factor of 7741/482,6573/4782 = [GCF of 7741,6573]/[LCM of 482,4782]= 1/1152462

Therefore, the GCF of 7741/482,6573/4782 is 1/1152462.

Greatest Common Factor of 7741,6573

To find the highest common factor of 7741,6573, we have to find the factors of both numbers and list the highest common factor.

The factors of 7741 are 1, 7741

The factors of 6573 are 1, 3, 7, 21, 313, 939, 2191, 6573

The HCF of 7741,6573 is 1.

Lets's calculate GCF of 7741,6573

Greatest Common Factor (GCF) of 7741,6573 By Common Division

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

Greatest Common Factor of 7741,6573 By Matching Biggest Common Factor Method

Now, list down the factors of 7741

1,7741

Now, list down the factors of 6573

1,3,7,21,313,939,2191,6573

Greatest Common Factor

We found the factors 7741,6573 . The biggest common factor number is the GCF number.
So the greatest common factor 7741,6573 is 1.

Lets's calculate LCM of 482,4782

Lowest Common Multiple of 482,4782 using Common Division

2	482, 4782
	241, 2391

∴ So the LCM of the given numbers is 2 x 241 x 2391 = 1152462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1152462

Therefore, the GCF of Fractions 7741/482,6573/4782 is 1/1152462

Least Common Multiple of 482,4782 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 482,4782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,4782) = 2

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

GCF(482,4782) x common factors =2 x 1 = 2

LCM(482,4782) = ( 482 × 4782 ) / 2

LCM(482,4782) = 2304924 / 2

LCM(482,4782) = 1152462

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FAQs on GCF of Fractions of 7741/482, 6573/4782

1. What is the HCF of 7741,6573?

The HCF of 7741,6573 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 7741/482, 6573/4782?

Answer: GCF of Numerators as per given numbers 7741/482, 6573/4782 is

GCF of Numerators i.e. for 7741,6573 is 1

LCM of denominators i.e. for 482,4782 is 1152462.

Thus, GCF of Fractions is 1/1152462.Finally, GCF of Fractions for 7741/482, 6573/4782 is 1/1152462.