How to Find GCF of 6341/954, 8185/7994?

GCF of 6341/954, 8185/7994

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 6341/954, 8185/7994 i.e 1/3813138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6341/954, 8185/7994.

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 6341/954,8185/7994?

Given fractions are 6341/954,8185/7994

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 6341/954,8185/7994, numerators are 6341,8185

Denominators are 954,7994

The GCF of 6341,8185 is 1 .

LCM of 954,7994 is 3813138.

The greatest common factor of 6341/954,8185/7994 = [GCF of 6341,8185]/[LCM of 954,7994]= 1/3813138

Therefore, the GCF of 6341/954,8185/7994 is 1/3813138.

Greatest Common Factor of 6341,8185

To find the highest common factor of 6341,8185, we have to find the factors of both numbers and list the highest common factor.

The factors of 6341 are 1, 17, 373, 6341

The factors of 8185 are 1, 5, 1637, 8185

The HCF of 6341,8185 is 1.

Lets's calculate GCF of 6341,8185

Greatest Common Factor (GCF) of 6341,8185 By Common Division

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

Greatest Common Factor of 6341,8185 By Matching Biggest Common Factor Method

Now, list down the factors of 6341

1,17,373,6341

Now, list down the factors of 8185

1,5,1637,8185

Greatest Common Factor

We found the factors 6341,8185 . The biggest common factor number is the GCF number.
So the greatest common factor 6341,8185 is 1.

Lets's calculate LCM of 954,7994

Lowest Common Multiple of 954,7994 using Common Division

2	954, 7994
	477, 3997

∴ So the LCM of the given numbers is 2 x 477 x 3997 = 3813138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3813138

Therefore, the GCF of Fractions 6341/954,8185/7994 is 1/3813138

Least Common Multiple of 954,7994 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 954,7994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,7994) = 2

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

GCF(954,7994) x common factors =2 x 1 = 2

LCM(954,7994) = ( 954 × 7994 ) / 2

LCM(954,7994) = 7626276 / 2

LCM(954,7994) = 3813138

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FAQs on GCF of Fractions of 6341/954, 8185/7994

1. What is the HCF of 6341,8185?

The HCF of 6341,8185 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 6341/954, 8185/7994?

Answer: GCF of Numerators as per given numbers 6341/954, 8185/7994 is

GCF of Numerators i.e. for 6341,8185 is 1

LCM of denominators i.e. for 954,7994 is 3813138.

Thus, GCF of Fractions is 1/3813138.Finally, GCF of Fractions for 6341/954, 8185/7994 is 1/3813138.