How to Find GCF of 281/66, 540/8544?

GCF of 281/66, 540/8544

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 281/66, 540/8544 i.e 1/93984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 281/66, 540/8544.

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 281/66,540/8544?

Given fractions are 281/66,540/8544

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 281/66,540/8544, numerators are 281,540

Denominators are 66,8544

The GCF of 281,540 is 1 .

LCM of 66,8544 is 93984.

The greatest common factor of 281/66,540/8544 = [GCF of 281,540]/[LCM of 66,8544]= 1/93984

Therefore, the GCF of 281/66,540/8544 is 1/93984.

Greatest Common Factor of 281,540

To find the highest common factor of 281,540, we have to find the factors of both numbers and list the highest common factor.

The factors of 281 are 1, 281

The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

The HCF of 281,540 is 1.

Lets's calculate GCF of 281,540

Greatest Common Factor (GCF) of 281,540 By Common Division

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

Greatest Common Factor of 281,540 By Matching Biggest Common Factor Method

Now, list down the factors of 281

1,281

Now, list down the factors of 540

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 281,540 . The biggest common factor number is the GCF number.
So the greatest common factor 281,540 is 1.

Lets's calculate LCM of 66,8544

Lowest Common Multiple of 66,8544 using Common Division

2	66, 8544
3	33, 4272
	11, 1424

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1424 = 93984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93984

Therefore, the GCF of Fractions 281/66,540/8544 is 1/93984

Least Common Multiple of 66,8544 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 66,8544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,8544) = 6

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

GCF(66,8544) x common factors =6 x 1 = 6

LCM(66,8544) = ( 66 × 8544 ) / 6

LCM(66,8544) = 563904 / 6

LCM(66,8544) = 93984

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FAQs on GCF of Fractions of 281/66, 540/8544

1. What is the HCF of 281,540?

The HCF of 281,540 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 281/66, 540/8544?

Answer: GCF of Numerators as per given numbers 281/66, 540/8544 is

GCF of Numerators i.e. for 281,540 is 1

LCM of denominators i.e. for 66,8544 is 93984.

Thus, GCF of Fractions is 1/93984.Finally, GCF of Fractions for 281/66, 540/8544 is 1/93984.