How to Find GCF of 6863/929, 1820/8267?

GCF of 6863/929, 1820/8267

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 6863/929, 1820/8267 i.e 1/7680043 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6863/929, 1820/8267.

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 6863/929,1820/8267?

Given fractions are 6863/929,1820/8267

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 6863/929,1820/8267, numerators are 6863,1820

Denominators are 929,8267

The GCF of 6863,1820 is 1 .

LCM of 929,8267 is 7680043.

The greatest common factor of 6863/929,1820/8267 = [GCF of 6863,1820]/[LCM of 929,8267]= 1/7680043

Therefore, the GCF of 6863/929,1820/8267 is 1/7680043.

Greatest Common Factor of 6863,1820

To find the highest common factor of 6863,1820, we have to find the factors of both numbers and list the highest common factor.

The factors of 6863 are 1, 6863

The factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820

The HCF of 6863,1820 is 1.

Lets's calculate GCF of 6863,1820

Greatest Common Factor (GCF) of 6863,1820 By Common Division

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

Greatest Common Factor of 6863,1820 By Matching Biggest Common Factor Method

Now, list down the factors of 6863

1,6863

Now, list down the factors of 1820

1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820

Greatest Common Factor

We found the factors 6863,1820 . The biggest common factor number is the GCF number.
So the greatest common factor 6863,1820 is 1.

Lets's calculate LCM of 929,8267

Lowest Common Multiple of 929,8267 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7680043

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7680043

Therefore, the GCF of Fractions 6863/929,1820/8267 is 1/7680043

Least Common Multiple of 929,8267 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 929,8267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,8267) = 1

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

GCF(929,8267) x common factors =1 x 1 = 1

LCM(929,8267) = ( 929 × 8267 ) / 1

LCM(929,8267) = 7680043 / 1

LCM(929,8267) = 7680043

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6863/929, 1820/8267

1. What is the HCF of 6863,1820?

The HCF of 6863,1820 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 6863/929, 1820/8267?

Answer: GCF of Numerators as per given numbers 6863/929, 1820/8267 is

GCF of Numerators i.e. for 6863,1820 is 1

LCM of denominators i.e. for 929,8267 is 7680043.

Thus, GCF of Fractions is 1/7680043.Finally, GCF of Fractions for 6863/929, 1820/8267 is 1/7680043.