How to Find GCF of 6755/413, 4483/9578?

GCF of 6755/413, 4483/9578

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 6755/413, 4483/9578 i.e 1/3955714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6755/413, 4483/9578.

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 6755/413,4483/9578?

Given fractions are 6755/413,4483/9578

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 6755/413,4483/9578, numerators are 6755,4483

Denominators are 413,9578

The GCF of 6755,4483 is 1 .

LCM of 413,9578 is 3955714.

The greatest common factor of 6755/413,4483/9578 = [GCF of 6755,4483]/[LCM of 413,9578]= 1/3955714

Therefore, the GCF of 6755/413,4483/9578 is 1/3955714.

Greatest Common Factor of 6755,4483

To find the highest common factor of 6755,4483, we have to find the factors of both numbers and list the highest common factor.

The factors of 6755 are 1, 5, 7, 35, 193, 965, 1351, 6755

The factors of 4483 are 1, 4483

The HCF of 6755,4483 is 1.

Lets's calculate GCF of 6755,4483

Greatest Common Factor (GCF) of 6755,4483 By Common Division

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

Greatest Common Factor of 6755,4483 By Matching Biggest Common Factor Method

Now, list down the factors of 6755

1,5,7,35,193,965,1351,6755

Now, list down the factors of 4483

1,4483

Greatest Common Factor

We found the factors 6755,4483 . The biggest common factor number is the GCF number.
So the greatest common factor 6755,4483 is 1.

Lets's calculate LCM of 413,9578

Lowest Common Multiple of 413,9578 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3955714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3955714

Therefore, the GCF of Fractions 6755/413,4483/9578 is 1/3955714

Least Common Multiple of 413,9578 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 413,9578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,9578) = 1

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

GCF(413,9578) x common factors =1 x 1 = 1

LCM(413,9578) = ( 413 × 9578 ) / 1

LCM(413,9578) = 3955714 / 1

LCM(413,9578) = 3955714

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FAQs on GCF of Fractions of 6755/413, 4483/9578

1. What is the HCF of 6755,4483?

The HCF of 6755,4483 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 6755/413, 4483/9578?

Answer: GCF of Numerators as per given numbers 6755/413, 4483/9578 is

GCF of Numerators i.e. for 6755,4483 is 1

LCM of denominators i.e. for 413,9578 is 3955714.

Thus, GCF of Fractions is 1/3955714.Finally, GCF of Fractions for 6755/413, 4483/9578 is 1/3955714.