How to Find GCF of 7687/792, 9384/8798?

GCF of 7687/792, 9384/8798

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 7687/792, 9384/8798 i.e 1/3484008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7687/792, 9384/8798.

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 7687/792,9384/8798?

Given fractions are 7687/792,9384/8798

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 7687/792,9384/8798, numerators are 7687,9384

Denominators are 792,8798

The GCF of 7687,9384 is 1 .

LCM of 792,8798 is 3484008.

The greatest common factor of 7687/792,9384/8798 = [GCF of 7687,9384]/[LCM of 792,8798]= 1/3484008

Therefore, the GCF of 7687/792,9384/8798 is 1/3484008.

Greatest Common Factor of 7687,9384

To find the highest common factor of 7687,9384, we have to find the factors of both numbers and list the highest common factor.

The factors of 7687 are 1, 7687

The factors of 9384 are 1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384

The HCF of 7687,9384 is 1.

Lets's calculate GCF of 7687,9384

Greatest Common Factor (GCF) of 7687,9384 By Common Division

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

Greatest Common Factor of 7687,9384 By Matching Biggest Common Factor Method

Now, list down the factors of 7687

1,7687

Now, list down the factors of 9384

1,2,3,4,6,8,12,17,23,24,34,46,51,68,69,92,102,136,138,184,204,276,391,408,552,782,1173,1564,2346,3128,4692,9384

Greatest Common Factor

We found the factors 7687,9384 . The biggest common factor number is the GCF number.
So the greatest common factor 7687,9384 is 1.

Lets's calculate LCM of 792,8798

Lowest Common Multiple of 792,8798 using Common Division

2	792, 8798
	396, 4399

∴ So the LCM of the given numbers is 2 x 396 x 4399 = 3484008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3484008

Therefore, the GCF of Fractions 7687/792,9384/8798 is 1/3484008

Least Common Multiple of 792,8798 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 792,8798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,8798) = 2

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

GCF(792,8798) x common factors =2 x 1 = 2

LCM(792,8798) = ( 792 × 8798 ) / 2

LCM(792,8798) = 6968016 / 2

LCM(792,8798) = 3484008

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FAQs on GCF of Fractions of 7687/792, 9384/8798

1. What is the HCF of 7687,9384?

The HCF of 7687,9384 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 7687/792, 9384/8798?

Answer: GCF of Numerators as per given numbers 7687/792, 9384/8798 is

GCF of Numerators i.e. for 7687,9384 is 1

LCM of denominators i.e. for 792,8798 is 3484008.

Thus, GCF of Fractions is 1/3484008.Finally, GCF of Fractions for 7687/792, 9384/8798 is 1/3484008.