How to Find GCF of 3681/890, 4927/8168?

GCF of 3681/890, 4927/8168

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 3681/890, 4927/8168 i.e 1/3634760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3681/890, 4927/8168.

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 3681/890,4927/8168?

Given fractions are 3681/890,4927/8168

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 3681/890,4927/8168, numerators are 3681,4927

Denominators are 890,8168

The GCF of 3681,4927 is 1 .

LCM of 890,8168 is 3634760.

The greatest common factor of 3681/890,4927/8168 = [GCF of 3681,4927]/[LCM of 890,8168]= 1/3634760

Therefore, the GCF of 3681/890,4927/8168 is 1/3634760.

Greatest Common Factor of 3681,4927

To find the highest common factor of 3681,4927, we have to find the factors of both numbers and list the highest common factor.

The factors of 3681 are 1, 3, 9, 409, 1227, 3681

The factors of 4927 are 1, 13, 379, 4927

The HCF of 3681,4927 is 1.

Lets's calculate GCF of 3681,4927

Greatest Common Factor (GCF) of 3681,4927 By Common Division

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

Greatest Common Factor of 3681,4927 By Matching Biggest Common Factor Method

Now, list down the factors of 3681

1,3,9,409,1227,3681

Now, list down the factors of 4927

1,13,379,4927

Greatest Common Factor

We found the factors 3681,4927 . The biggest common factor number is the GCF number.
So the greatest common factor 3681,4927 is 1.

Lets's calculate LCM of 890,8168

Lowest Common Multiple of 890,8168 using Common Division

2	890, 8168
	445, 4084

∴ So the LCM of the given numbers is 2 x 445 x 4084 = 3634760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3634760

Therefore, the GCF of Fractions 3681/890,4927/8168 is 1/3634760

Least Common Multiple of 890,8168 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 890,8168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,8168) = 2

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

GCF(890,8168) x common factors =2 x 1 = 2

LCM(890,8168) = ( 890 × 8168 ) / 2

LCM(890,8168) = 7269520 / 2

LCM(890,8168) = 3634760

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3681/890, 4927/8168

1. What is the HCF of 3681,4927?

The HCF of 3681,4927 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 3681/890, 4927/8168?

Answer: GCF of Numerators as per given numbers 3681/890, 4927/8168 is

GCF of Numerators i.e. for 3681,4927 is 1

LCM of denominators i.e. for 890,8168 is 3634760.

Thus, GCF of Fractions is 1/3634760.Finally, GCF of Fractions for 3681/890, 4927/8168 is 1/3634760.