How to Find GCF of 19/864, 40/818, 677/443?

GCF of 19/864, 40/818, 677/443

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 19/864, 40/818, 677/443 i.e 1/156545568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/864, 40/818, 677/443.

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 19/864,40/818,677/443?

Given fractions are 19/864,40/818,677/443

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 19/864,40/818,677/443, numerators are 19,40,677

Denominators are 864,818,443

The GCF of 19,40,677 is 1 .

LCM of 864,818,443 is 156545568.

The greatest common factor of 19/864,40/818,677/443 = [GCF of 19,40,677]/[LCM of 864,818,443]= 1/156545568

Therefore, the GCF of 19/864,40/818,677/443 is 1/156545568.

Greatest Common Factor of 19,40,677

To find the highest common factor of 19,40,677, we have to find the factors of both numbers and list the highest common factor.

The factors of 19 are 1, 19

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 677 are 1, 677

The HCF of 19,40,677 is 1.

Lets's calculate GCF of 19,40,677

Greatest Common Factor (GCF) of 19,40,677 By Common Division

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

Greatest Common Factor of 19,40,677 By Matching Biggest Common Factor Method

Now, list down the factors of 19

1,19

Now, list down the factors of 40

1,2,4,5,8,10,20,40

Now, list down the factors of 677

1,677

Greatest Common Factor

We found the factors 19,40,677 . The biggest common factor number is the GCF number.
So the greatest common factor 19,40,677 is 1.

Lets's calculate LCM of 864,818,443

Lowest Common Multiple of 864,818,443 using Common Division

2	864, 818, 443
	432, 409, 443

∴ So the LCM of the given numbers is 2 x 432 x 409 x 443 = 156545568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156545568

Therefore, the GCF of Fractions 19/864,40/818,677/443 is 1/156545568

Least Common Multiple of 864,818,443 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 864,818,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,818,443) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(864,818,443) x common factors =1 x 2 = 2

LCM(864,818,443) = ( 864 × 818 × 443 ) / 2

LCM(864,818,443) = 313091136 / 2

LCM(864,818,443) = 156545568

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 19/864, 40/818, 677/443

1. What is the HCF of 19,40,677?

The HCF of 19,40,677 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 19/864, 40/818, 677/443?

Answer: GCF of Numerators as per given numbers 19/864, 40/818, 677/443 is

GCF of Numerators i.e. for 19,40,677 is 1

LCM of denominators i.e. for 864,818,443 is 156545568.

Thus, GCF of Fractions is 1/156545568.Finally, GCF of Fractions for 19/864, 40/818, 677/443 is 1/156545568.