How to Find GCF of 81/640, 19/786, 562/147?

GCF of 81/640, 19/786, 562/147

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 81/640, 19/786, 562/147 i.e 1/12324480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/640, 19/786, 562/147.

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 81/640,19/786,562/147?

Given fractions are 81/640,19/786,562/147

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 81/640,19/786,562/147, numerators are 81,19,562

Denominators are 640,786,147

The GCF of 81,19,562 is 1 .

LCM of 640,786,147 is 12324480.

The greatest common factor of 81/640,19/786,562/147 = [GCF of 81,19,562]/[LCM of 640,786,147]= 1/12324480

Therefore, the GCF of 81/640,19/786,562/147 is 1/12324480.

Greatest Common Factor of 81,19,562

To find the highest common factor of 81,19,562, we have to find the factors of both numbers and list the highest common factor.

The factors of 81 are 1, 3, 9, 27, 81

The factors of 19 are 1, 19

The factors of 562 are 1, 2, 281, 562

The HCF of 81,19,562 is 1.

Lets's calculate GCF of 81,19,562

Greatest Common Factor (GCF) of 81,19,562 By Common Division

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

Greatest Common Factor of 81,19,562 By Matching Biggest Common Factor Method

Now, list down the factors of 81

1,3,9,27,81

Now, list down the factors of 19

1,19

Now, list down the factors of 562

1,2,281,562

Greatest Common Factor

We found the factors 81,19,562 . The biggest common factor number is the GCF number.
So the greatest common factor 81,19,562 is 1.

Lets's calculate LCM of 640,786,147

Lowest Common Multiple of 640,786,147 using Common Division

2	640, 786, 147
3	320, 393, 147
	320, 131, 49

∴ So the LCM of the given numbers is 2 x 3 x 320 x 131 x 49 = 12324480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12324480

Therefore, the GCF of Fractions 81/640,19/786,562/147 is 1/12324480

Least Common Multiple of 640,786,147 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 640,786,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,786,147) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(640,786,147) x common factors =1 x 6 = 6

LCM(640,786,147) = ( 640 × 786 × 147 ) / 6

LCM(640,786,147) = 73946880 / 6

LCM(640,786,147) = 12324480

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 81/640, 19/786, 562/147

1. What is the HCF of 81,19,562?

The HCF of 81,19,562 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 81/640, 19/786, 562/147?

Answer: GCF of Numerators as per given numbers 81/640, 19/786, 562/147 is

GCF of Numerators i.e. for 81,19,562 is 1

LCM of denominators i.e. for 640,786,147 is 12324480.

Thus, GCF of Fractions is 1/12324480.Finally, GCF of Fractions for 81/640, 19/786, 562/147 is 1/12324480.