How to Find GCF of 6724/715, 3229/1014?

GCF of 6724/715, 3229/1014

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 6724/715, 3229/1014 i.e 1/55770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6724/715, 3229/1014.

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 6724/715,3229/1014?

Given fractions are 6724/715,3229/1014

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 6724/715,3229/1014, numerators are 6724,3229

Denominators are 715,1014

The GCF of 6724,3229 is 1 .

LCM of 715,1014 is 55770.

The greatest common factor of 6724/715,3229/1014 = [GCF of 6724,3229]/[LCM of 715,1014]= 1/55770

Therefore, the GCF of 6724/715,3229/1014 is 1/55770.

Greatest Common Factor of 6724,3229

To find the highest common factor of 6724,3229, we have to find the factors of both numbers and list the highest common factor.

The factors of 6724 are 1, 2, 4, 41, 82, 164, 1681, 3362, 6724

The factors of 3229 are 1, 3229

The HCF of 6724,3229 is 1.

Lets's calculate GCF of 6724,3229

Greatest Common Factor (GCF) of 6724,3229 By Common Division

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

Greatest Common Factor of 6724,3229 By Matching Biggest Common Factor Method

Now, list down the factors of 6724

1,2,4,41,82,164,1681,3362,6724

Now, list down the factors of 3229

1,3229

Greatest Common Factor

We found the factors 6724,3229 . The biggest common factor number is the GCF number.
So the greatest common factor 6724,3229 is 1.

Lets's calculate LCM of 715,1014

Lowest Common Multiple of 715,1014 using Common Division

13	715, 1014
	55, 78

∴ So the LCM of the given numbers is 13 x 55 x 78 = 55770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55770

Therefore, the GCF of Fractions 6724/715,3229/1014 is 1/55770

Least Common Multiple of 715,1014 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 715,1014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,1014) = 13

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

GCF(715,1014) x common factors =13 x 1 = 13

LCM(715,1014) = ( 715 × 1014 ) / 13

LCM(715,1014) = 725010 / 13

LCM(715,1014) = 55770

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FAQs on GCF of Fractions of 6724/715, 3229/1014

1. What is the HCF of 6724,3229?

The HCF of 6724,3229 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 6724/715, 3229/1014?

Answer: GCF of Numerators as per given numbers 6724/715, 3229/1014 is

GCF of Numerators i.e. for 6724,3229 is 1

LCM of denominators i.e. for 715,1014 is 55770.

Thus, GCF of Fractions is 1/55770.Finally, GCF of Fractions for 6724/715, 3229/1014 is 1/55770.