How to Find GCF of 8087/768, 7003/6848?

GCF of 8087/768, 7003/6848

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 8087/768, 7003/6848 i.e 1/82176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8087/768, 7003/6848.

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 8087/768,7003/6848?

Given fractions are 8087/768,7003/6848

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 8087/768,7003/6848, numerators are 8087,7003

Denominators are 768,6848

The GCF of 8087,7003 is 1 .

LCM of 768,6848 is 82176.

The greatest common factor of 8087/768,7003/6848 = [GCF of 8087,7003]/[LCM of 768,6848]= 1/82176

Therefore, the GCF of 8087/768,7003/6848 is 1/82176.

Greatest Common Factor of 8087,7003

To find the highest common factor of 8087,7003, we have to find the factors of both numbers and list the highest common factor.

The factors of 8087 are 1, 8087

The factors of 7003 are 1, 47, 149, 7003

The HCF of 8087,7003 is 1.

Lets's calculate GCF of 8087,7003

Greatest Common Factor (GCF) of 8087,7003 By Common Division

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

Greatest Common Factor of 8087,7003 By Matching Biggest Common Factor Method

Now, list down the factors of 8087

1,8087

Now, list down the factors of 7003

1,47,149,7003

Greatest Common Factor

We found the factors 8087,7003 . The biggest common factor number is the GCF number.
So the greatest common factor 8087,7003 is 1.

Lets's calculate LCM of 768,6848

Lowest Common Multiple of 768,6848 using Common Division

2	768, 6848
2	384, 3424
2	192, 1712
2	96, 856
2	48, 428
2	24, 214
	12, 107

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 12 x 107 = 82176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82176

Therefore, the GCF of Fractions 8087/768,7003/6848 is 1/82176

Least Common Multiple of 768,6848 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 768,6848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,6848) = 64

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

GCF(768,6848) x common factors =64 x 1 = 64

LCM(768,6848) = ( 768 × 6848 ) / 64

LCM(768,6848) = 5259264 / 64

LCM(768,6848) = 82176

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FAQs on GCF of Fractions of 8087/768, 7003/6848

1. What is the HCF of 8087,7003?

The HCF of 8087,7003 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 8087/768, 7003/6848?

Answer: GCF of Numerators as per given numbers 8087/768, 7003/6848 is

GCF of Numerators i.e. for 8087,7003 is 1

LCM of denominators i.e. for 768,6848 is 82176.

Thus, GCF of Fractions is 1/82176.Finally, GCF of Fractions for 8087/768, 7003/6848 is 1/82176.