How to Find GCF of 331/204, 1781/8092?

GCF of 331/204, 1781/8092

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 331/204, 1781/8092 i.e 1/24276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 331/204, 1781/8092.

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 331/204,1781/8092?

Given fractions are 331/204,1781/8092

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 331/204,1781/8092, numerators are 331,1781

Denominators are 204,8092

The GCF of 331,1781 is 1 .

LCM of 204,8092 is 24276.

The greatest common factor of 331/204,1781/8092 = [GCF of 331,1781]/[LCM of 204,8092]= 1/24276

Therefore, the GCF of 331/204,1781/8092 is 1/24276.

Greatest Common Factor of 331,1781

To find the highest common factor of 331,1781, we have to find the factors of both numbers and list the highest common factor.

The factors of 331 are 1, 331

The factors of 1781 are 1, 13, 137, 1781

The HCF of 331,1781 is 1.

Lets's calculate GCF of 331,1781

Greatest Common Factor (GCF) of 331,1781 By Common Division

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

Greatest Common Factor of 331,1781 By Matching Biggest Common Factor Method

Now, list down the factors of 331

1,331

Now, list down the factors of 1781

1,13,137,1781

Greatest Common Factor

We found the factors 331,1781 . The biggest common factor number is the GCF number.
So the greatest common factor 331,1781 is 1.

Lets's calculate LCM of 204,8092

Lowest Common Multiple of 204,8092 using Common Division

2	204, 8092
2	102, 4046
17	51, 2023
	3, 119

∴ So the LCM of the given numbers is 2 x 2 x 17 x 3 x 119 = 24276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24276

Therefore, the GCF of Fractions 331/204,1781/8092 is 1/24276

Least Common Multiple of 204,8092 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 204,8092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,8092) = 68

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

GCF(204,8092) x common factors =68 x 1 = 68

LCM(204,8092) = ( 204 × 8092 ) / 68

LCM(204,8092) = 1650768 / 68

LCM(204,8092) = 24276

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FAQs on GCF of Fractions of 331/204, 1781/8092

1. What is the HCF of 331,1781?

The HCF of 331,1781 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 331/204, 1781/8092?

Answer: GCF of Numerators as per given numbers 331/204, 1781/8092 is

GCF of Numerators i.e. for 331,1781 is 1

LCM of denominators i.e. for 204,8092 is 24276.

Thus, GCF of Fractions is 1/24276.Finally, GCF of Fractions for 331/204, 1781/8092 is 1/24276.