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GCF of 6518/429, 7117/3324

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 6518/429, 7117/3324 i.e 1/475332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6518/429, 7117/3324.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6518/429,7117/3324?

Given fractions are 6518/429,7117/3324

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 6518/429,7117/3324, numerators are 6518,7117

Denominators are 429,3324

The GCF of 6518,7117 is 1 .

LCM of 429,3324 is 475332.

The greatest common factor of 6518/429,7117/3324 = [GCF of 6518,7117]/[LCM of 429,3324]= 1/475332

Therefore, the GCF of 6518/429,7117/3324 is 1/475332.

Greatest Common Factor of 6518,7117

To find the highest common factor of 6518,7117, we have to find the factors of both numbers and list the highest common factor.

The factors of 6518 are 1, 2, 3259, 6518

The factors of 7117 are 1, 11, 647, 7117

The HCF of 6518,7117 is 1.

Lets's calculate GCF of 6518,7117

Greatest Common Factor (GCF) of 6518,7117 By Common Division

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

Greatest Common Factor of 6518,7117 By Matching Biggest Common Factor Method

Greatest Common Factor of 6518,7117 By Matching Biggest Common Factor Method

Now, list down the factors of 6518

:

1,2,3259,6518

Now, list down the factors of 7117

:

1,11,647,7117

Greatest Common Factor

We found the factors 6518,7117 . The biggest common factor number is the GCF number.
So the greatest common factor 6518,7117 is 1.

Lets's calculate LCM of 429,3324

Lowest Common Multiple of 429,3324 using Common Division

3 429, 3324
143, 1108

∴ So the LCM of the given numbers is 3 x 143 x 1108 = 475332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/475332

Therefore, the GCF of Fractions 6518/429,7117/3324 is 1/475332

Least Common Multiple of 429,3324 with GCF Formula

Least Common Multiple of 429,3324 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 429,3324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,3324) = 3

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

GCF(429,3324) x common factors =3 x 1 = 3

LCM(429,3324) = ( 429 × 3324 ) / 3

LCM(429,3324) = 1425996 / 3

LCM(429,3324) = 475332


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6518/429, 7117/3324

1. What is the HCF of 6518,7117?

The HCF of 6518,7117 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 6518/429, 7117/3324?

Answer: GCF of Numerators as per given numbers 6518/429, 7117/3324 is

GCF of Numerators i.e. for 6518,7117 is 1

LCM of denominators i.e. for 429,3324 is 475332.

Thus, GCF of Fractions is 1/475332.Finally, GCF of Fractions for 6518/429, 7117/3324 is 1/475332.