How to Find GCF of 6929/404, 3671/7536?

GCF of 6929/404, 3671/7536

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 6929/404, 3671/7536 i.e 1/761136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6929/404, 3671/7536.

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 6929/404,3671/7536?

Given fractions are 6929/404,3671/7536

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 6929/404,3671/7536, numerators are 6929,3671

Denominators are 404,7536

The GCF of 6929,3671 is 1 .

LCM of 404,7536 is 761136.

The greatest common factor of 6929/404,3671/7536 = [GCF of 6929,3671]/[LCM of 404,7536]= 1/761136

Therefore, the GCF of 6929/404,3671/7536 is 1/761136.

Greatest Common Factor of 6929,3671

To find the highest common factor of 6929,3671, we have to find the factors of both numbers and list the highest common factor.

The factors of 6929 are 1, 13, 41, 169, 533, 6929

The factors of 3671 are 1, 3671

The HCF of 6929,3671 is 1.

Lets's calculate GCF of 6929,3671

Greatest Common Factor (GCF) of 6929,3671 By Common Division

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

Greatest Common Factor of 6929,3671 By Matching Biggest Common Factor Method

Now, list down the factors of 6929

1,13,41,169,533,6929

Now, list down the factors of 3671

1,3671

Greatest Common Factor

We found the factors 6929,3671 . The biggest common factor number is the GCF number.
So the greatest common factor 6929,3671 is 1.

Lets's calculate LCM of 404,7536

Lowest Common Multiple of 404,7536 using Common Division

2	404, 7536
2	202, 3768
	101, 1884

∴ So the LCM of the given numbers is 2 x 2 x 101 x 1884 = 761136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/761136

Therefore, the GCF of Fractions 6929/404,3671/7536 is 1/761136

Least Common Multiple of 404,7536 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 404,7536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,7536) = 4

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

GCF(404,7536) x common factors =4 x 1 = 4

LCM(404,7536) = ( 404 × 7536 ) / 4

LCM(404,7536) = 3044544 / 4

LCM(404,7536) = 761136

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FAQs on GCF of Fractions of 6929/404, 3671/7536

1. What is the HCF of 6929,3671?

The HCF of 6929,3671 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 6929/404, 3671/7536?

Answer: GCF of Numerators as per given numbers 6929/404, 3671/7536 is

GCF of Numerators i.e. for 6929,3671 is 1

LCM of denominators i.e. for 404,7536 is 761136.

Thus, GCF of Fractions is 1/761136.Finally, GCF of Fractions for 6929/404, 3671/7536 is 1/761136.