How to Find GCF of 6899/478, 5775/8290?

GCF of 6899/478, 5775/8290

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 6899/478, 5775/8290 i.e 1/1981310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6899/478, 5775/8290.

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 6899/478,5775/8290?

Given fractions are 6899/478,5775/8290

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 6899/478,5775/8290, numerators are 6899,5775

Denominators are 478,8290

The GCF of 6899,5775 is 1 .

LCM of 478,8290 is 1981310.

The greatest common factor of 6899/478,5775/8290 = [GCF of 6899,5775]/[LCM of 478,8290]= 1/1981310

Therefore, the GCF of 6899/478,5775/8290 is 1/1981310.

Greatest Common Factor of 6899,5775

To find the highest common factor of 6899,5775, we have to find the factors of both numbers and list the highest common factor.

The factors of 6899 are 1, 6899

The factors of 5775 are 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925, 5775

The HCF of 6899,5775 is 1.

Lets's calculate GCF of 6899,5775

Greatest Common Factor (GCF) of 6899,5775 By Common Division

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

Greatest Common Factor of 6899,5775 By Matching Biggest Common Factor Method

Now, list down the factors of 6899

1,6899

Now, list down the factors of 5775

1,3,5,7,11,15,21,25,33,35,55,75,77,105,165,175,231,275,385,525,825,1155,1925,5775

Greatest Common Factor

We found the factors 6899,5775 . The biggest common factor number is the GCF number.
So the greatest common factor 6899,5775 is 1.

Lets's calculate LCM of 478,8290

Lowest Common Multiple of 478,8290 using Common Division

2	478, 8290
	239, 4145

∴ So the LCM of the given numbers is 2 x 239 x 4145 = 1981310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1981310

Therefore, the GCF of Fractions 6899/478,5775/8290 is 1/1981310

Least Common Multiple of 478,8290 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 478,8290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,8290) = 2

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

GCF(478,8290) x common factors =2 x 1 = 2

LCM(478,8290) = ( 478 × 8290 ) / 2

LCM(478,8290) = 3962620 / 2

LCM(478,8290) = 1981310

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FAQs on GCF of Fractions of 6899/478, 5775/8290

1. What is the HCF of 6899,5775?

The HCF of 6899,5775 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 6899/478, 5775/8290?

Answer: GCF of Numerators as per given numbers 6899/478, 5775/8290 is

GCF of Numerators i.e. for 6899,5775 is 1

LCM of denominators i.e. for 478,8290 is 1981310.

Thus, GCF of Fractions is 1/1981310.Finally, GCF of Fractions for 6899/478, 5775/8290 is 1/1981310.