How to Find GCF of 7415/808, 7673/8868?

GCF of 7415/808, 7673/8868

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 7415/808, 7673/8868 i.e 1/1791336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7415/808, 7673/8868.

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 7415/808,7673/8868?

Given fractions are 7415/808,7673/8868

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 7415/808,7673/8868, numerators are 7415,7673

Denominators are 808,8868

The GCF of 7415,7673 is 1 .

LCM of 808,8868 is 1791336.

The greatest common factor of 7415/808,7673/8868 = [GCF of 7415,7673]/[LCM of 808,8868]= 1/1791336

Therefore, the GCF of 7415/808,7673/8868 is 1/1791336.

Greatest Common Factor of 7415,7673

To find the highest common factor of 7415,7673, we have to find the factors of both numbers and list the highest common factor.

The factors of 7415 are 1, 5, 1483, 7415

The factors of 7673 are 1, 7673

The HCF of 7415,7673 is 1.

Lets's calculate GCF of 7415,7673

Greatest Common Factor (GCF) of 7415,7673 By Common Division

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

Greatest Common Factor of 7415,7673 By Matching Biggest Common Factor Method

Now, list down the factors of 7415

1,5,1483,7415

Now, list down the factors of 7673

1,7673

Greatest Common Factor

We found the factors 7415,7673 . The biggest common factor number is the GCF number.
So the greatest common factor 7415,7673 is 1.

Lets's calculate LCM of 808,8868

Lowest Common Multiple of 808,8868 using Common Division

2	808, 8868
2	404, 4434
	202, 2217

∴ So the LCM of the given numbers is 2 x 2 x 202 x 2217 = 1791336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1791336

Therefore, the GCF of Fractions 7415/808,7673/8868 is 1/1791336

Least Common Multiple of 808,8868 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 808,8868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,8868) = 4

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

GCF(808,8868) x common factors =4 x 1 = 4

LCM(808,8868) = ( 808 × 8868 ) / 4

LCM(808,8868) = 7165344 / 4

LCM(808,8868) = 1791336

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FAQs on GCF of Fractions of 7415/808, 7673/8868

1. What is the HCF of 7415,7673?

The HCF of 7415,7673 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 7415/808, 7673/8868?

Answer: GCF of Numerators as per given numbers 7415/808, 7673/8868 is

GCF of Numerators i.e. for 7415,7673 is 1

LCM of denominators i.e. for 808,8868 is 1791336.

Thus, GCF of Fractions is 1/1791336.Finally, GCF of Fractions for 7415/808, 7673/8868 is 1/1791336.