How to Find GCF of 8503/792, 6829/5136?

GCF of 8503/792, 6829/5136

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 8503/792, 6829/5136 i.e 1/169488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8503/792, 6829/5136.

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 8503/792,6829/5136?

Given fractions are 8503/792,6829/5136

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 8503/792,6829/5136, numerators are 8503,6829

Denominators are 792,5136

The GCF of 8503,6829 is 1 .

LCM of 792,5136 is 169488.

The greatest common factor of 8503/792,6829/5136 = [GCF of 8503,6829]/[LCM of 792,5136]= 1/169488

Therefore, the GCF of 8503/792,6829/5136 is 1/169488.

Greatest Common Factor of 8503,6829

To find the highest common factor of 8503,6829, we have to find the factors of both numbers and list the highest common factor.

The factors of 8503 are 1, 11, 773, 8503

The factors of 6829 are 1, 6829

The HCF of 8503,6829 is 1.

Lets's calculate GCF of 8503,6829

Greatest Common Factor (GCF) of 8503,6829 By Common Division

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

Greatest Common Factor of 8503,6829 By Matching Biggest Common Factor Method

Now, list down the factors of 8503

1,11,773,8503

Now, list down the factors of 6829

1,6829

Greatest Common Factor

We found the factors 8503,6829 . The biggest common factor number is the GCF number.
So the greatest common factor 8503,6829 is 1.

Lets's calculate LCM of 792,5136

Lowest Common Multiple of 792,5136 using Common Division

2	792, 5136
2	396, 2568
2	198, 1284
3	99, 642
	33, 214

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 33 x 214 = 169488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169488

Therefore, the GCF of Fractions 8503/792,6829/5136 is 1/169488

Least Common Multiple of 792,5136 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 792,5136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,5136) = 24

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

GCF(792,5136) x common factors =24 x 1 = 24

LCM(792,5136) = ( 792 × 5136 ) / 24

LCM(792,5136) = 4067712 / 24

LCM(792,5136) = 169488

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FAQs on GCF of Fractions of 8503/792, 6829/5136

1. What is the HCF of 8503,6829?

The HCF of 8503,6829 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 8503/792, 6829/5136?

Answer: GCF of Numerators as per given numbers 8503/792, 6829/5136 is

GCF of Numerators i.e. for 8503,6829 is 1

LCM of denominators i.e. for 792,5136 is 169488.

Thus, GCF of Fractions is 1/169488.Finally, GCF of Fractions for 8503/792, 6829/5136 is 1/169488.