How to Find GCF of 19/909, 41/274, 485/340?

GCF of 19/909, 41/274, 485/340

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 19/909, 41/274, 485/340 i.e 1/42341220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/909, 41/274, 485/340.

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 19/909,41/274,485/340?

Given fractions are 19/909,41/274,485/340

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 19/909,41/274,485/340, numerators are 19,41,485

Denominators are 909,274,340

The GCF of 19,41,485 is 1 .

LCM of 909,274,340 is 42341220.

The greatest common factor of 19/909,41/274,485/340 = [GCF of 19,41,485]/[LCM of 909,274,340]= 1/42341220

Therefore, the GCF of 19/909,41/274,485/340 is 1/42341220.

Greatest Common Factor of 19,41,485

To find the highest common factor of 19,41,485, 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 41 are 1, 41

The factors of 485 are 1, 5, 97, 485

The HCF of 19,41,485 is 1.

Lets's calculate GCF of 19,41,485

Greatest Common Factor (GCF) of 19,41,485 By Common Division

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

Greatest Common Factor of 19,41,485 By Matching Biggest Common Factor Method

Now, list down the factors of 19

1,19

Now, list down the factors of 41

1,41

Now, list down the factors of 485

1,5,97,485

Greatest Common Factor

We found the factors 19,41,485 . The biggest common factor number is the GCF number.
So the greatest common factor 19,41,485 is 1.

Lets's calculate LCM of 909,274,340

Lowest Common Multiple of 909,274,340 using Common Division

2	909, 274, 340
	909, 137, 170

∴ So the LCM of the given numbers is 2 x 909 x 137 x 170 = 42341220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42341220

Therefore, the GCF of Fractions 19/909,41/274,485/340 is 1/42341220

Least Common Multiple of 909,274,340 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 909,274,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,274,340) = 1

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

GCF(909,274,340) x common factors =1 x 2 = 2

LCM(909,274,340) = ( 909 × 274 × 340 ) / 2

LCM(909,274,340) = 84682440 / 2

LCM(909,274,340) = 42341220

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 19/909, 41/274, 485/340

1. What is the HCF of 19,41,485?

The HCF of 19,41,485 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 19/909, 41/274, 485/340?

Answer: GCF of Numerators as per given numbers 19/909, 41/274, 485/340 is

GCF of Numerators i.e. for 19,41,485 is 1

LCM of denominators i.e. for 909,274,340 is 42341220.

Thus, GCF of Fractions is 1/42341220.Finally, GCF of Fractions for 19/909, 41/274, 485/340 is 1/42341220.