How to Find GCF of 41/217, 43/505, 294/421?

GCF of 41/217, 43/505, 294/421

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 41/217, 43/505, 294/421 i.e 1/46135285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 41/217, 43/505, 294/421.

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 41/217,43/505,294/421?

Given fractions are 41/217,43/505,294/421

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 41/217,43/505,294/421, numerators are 41,43,294

Denominators are 217,505,421

The GCF of 41,43,294 is 1 .

LCM of 217,505,421 is 46135285.

The greatest common factor of 41/217,43/505,294/421 = [GCF of 41,43,294]/[LCM of 217,505,421]= 1/46135285

Therefore, the GCF of 41/217,43/505,294/421 is 1/46135285.

Greatest Common Factor of 41,43,294

To find the highest common factor of 41,43,294, we have to find the factors of both numbers and list the highest common factor.

The factors of 41 are 1, 41

The factors of 43 are 1, 43

The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

The HCF of 41,43,294 is 1.

Lets's calculate GCF of 41,43,294

Greatest Common Factor (GCF) of 41,43,294 By Common Division

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

Greatest Common Factor of 41,43,294 By Matching Biggest Common Factor Method

Now, list down the factors of 41

1,41

Now, list down the factors of 43

1,43

Now, list down the factors of 294

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 41,43,294 . The biggest common factor number is the GCF number.
So the greatest common factor 41,43,294 is 1.

Lets's calculate LCM of 217,505,421

Lowest Common Multiple of 217,505,421 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 46135285

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46135285

Therefore, the GCF of Fractions 41/217,43/505,294/421 is 1/46135285

Least Common Multiple of 217,505,421 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 217,505,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,505,421) = 1

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

GCF(217,505,421) x common factors =1 x 1 = 1

LCM(217,505,421) = ( 217 × 505 × 421 ) / 1

LCM(217,505,421) = 46135285 / 1

LCM(217,505,421) = 46135285

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FAQs on GCF of Fractions of 41/217, 43/505, 294/421

1. What is the HCF of 41,43,294?

The HCF of 41,43,294 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 41/217, 43/505, 294/421?

Answer: GCF of Numerators as per given numbers 41/217, 43/505, 294/421 is

GCF of Numerators i.e. for 41,43,294 is 1

LCM of denominators i.e. for 217,505,421 is 46135285.

Thus, GCF of Fractions is 1/46135285.Finally, GCF of Fractions for 41/217, 43/505, 294/421 is 1/46135285.