How to Find GCF of 8669/763, 7885/6279?

GCF of 8669/763, 7885/6279

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 8669/763, 7885/6279 i.e 1/684411 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8669/763, 7885/6279.

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 8669/763,7885/6279?

Given fractions are 8669/763,7885/6279

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 8669/763,7885/6279, numerators are 8669,7885

Denominators are 763,6279

The GCF of 8669,7885 is 1 .

LCM of 763,6279 is 684411.

The greatest common factor of 8669/763,7885/6279 = [GCF of 8669,7885]/[LCM of 763,6279]= 1/684411

Therefore, the GCF of 8669/763,7885/6279 is 1/684411.

Greatest Common Factor of 8669,7885

To find the highest common factor of 8669,7885, we have to find the factors of both numbers and list the highest common factor.

The factors of 8669 are 1, 8669

The factors of 7885 are 1, 5, 19, 83, 95, 415, 1577, 7885

The HCF of 8669,7885 is 1.

Lets's calculate GCF of 8669,7885

Greatest Common Factor (GCF) of 8669,7885 By Common Division

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

Greatest Common Factor of 8669,7885 By Matching Biggest Common Factor Method

Now, list down the factors of 8669

1,8669

Now, list down the factors of 7885

1,5,19,83,95,415,1577,7885

Greatest Common Factor

We found the factors 8669,7885 . The biggest common factor number is the GCF number.
So the greatest common factor 8669,7885 is 1.

Lets's calculate LCM of 763,6279

Lowest Common Multiple of 763,6279 using Common Division

7	763, 6279
	109, 897

∴ So the LCM of the given numbers is 7 x 109 x 897 = 684411

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684411

Therefore, the GCF of Fractions 8669/763,7885/6279 is 1/684411

Least Common Multiple of 763,6279 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 763,6279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,6279) = 7

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

GCF(763,6279) x common factors =7 x 1 = 7

LCM(763,6279) = ( 763 × 6279 ) / 7

LCM(763,6279) = 4790877 / 7

LCM(763,6279) = 684411

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FAQs on GCF of Fractions of 8669/763, 7885/6279

1. What is the HCF of 8669,7885?

The HCF of 8669,7885 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 8669/763, 7885/6279?

Answer: GCF of Numerators as per given numbers 8669/763, 7885/6279 is

GCF of Numerators i.e. for 8669,7885 is 1

LCM of denominators i.e. for 763,6279 is 684411.

Thus, GCF of Fractions is 1/684411.Finally, GCF of Fractions for 8669/763, 7885/6279 is 1/684411.