How to Find GCF of 4982/217, 6373/6805?

GCF of 4982/217, 6373/6805

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 4982/217, 6373/6805 i.e 1/1476685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4982/217, 6373/6805.

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 4982/217,6373/6805?

Given fractions are 4982/217,6373/6805

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 4982/217,6373/6805, numerators are 4982,6373

Denominators are 217,6805

The GCF of 4982,6373 is 1 .

LCM of 217,6805 is 1476685.

The greatest common factor of 4982/217,6373/6805 = [GCF of 4982,6373]/[LCM of 217,6805]= 1/1476685

Therefore, the GCF of 4982/217,6373/6805 is 1/1476685.

Greatest Common Factor of 4982,6373

To find the highest common factor of 4982,6373, we have to find the factors of both numbers and list the highest common factor.

The factors of 4982 are 1, 2, 47, 53, 94, 106, 2491, 4982

The factors of 6373 are 1, 6373

The HCF of 4982,6373 is 1.

Lets's calculate GCF of 4982,6373

Greatest Common Factor (GCF) of 4982,6373 By Common Division

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

Greatest Common Factor of 4982,6373 By Matching Biggest Common Factor Method

Now, list down the factors of 4982

1,2,47,53,94,106,2491,4982

Now, list down the factors of 6373

1,6373

Greatest Common Factor

We found the factors 4982,6373 . The biggest common factor number is the GCF number.
So the greatest common factor 4982,6373 is 1.

Lets's calculate LCM of 217,6805

Lowest Common Multiple of 217,6805 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1476685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1476685

Therefore, the GCF of Fractions 4982/217,6373/6805 is 1/1476685

Least Common Multiple of 217,6805 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 217,6805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,6805) = 1

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

GCF(217,6805) x common factors =1 x 1 = 1

LCM(217,6805) = ( 217 × 6805 ) / 1

LCM(217,6805) = 1476685 / 1

LCM(217,6805) = 1476685

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FAQs on GCF of Fractions of 4982/217, 6373/6805

1. What is the HCF of 4982,6373?

The HCF of 4982,6373 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 4982/217, 6373/6805?

Answer: GCF of Numerators as per given numbers 4982/217, 6373/6805 is

GCF of Numerators i.e. for 4982,6373 is 1

LCM of denominators i.e. for 217,6805 is 1476685.

Thus, GCF of Fractions is 1/1476685.Finally, GCF of Fractions for 4982/217, 6373/6805 is 1/1476685.