How to Find GCF of 663/25, 685/43, 541/326?

GCF of 663/25, 685/43, 541/326

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 663/25, 685/43, 541/326 i.e 1/350450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 663/25, 685/43, 541/326.

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 663/25,685/43,541/326?

Given fractions are 663/25,685/43,541/326

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 663/25,685/43,541/326, numerators are 663,685,541

Denominators are 25,43,326

The GCF of 663,685,541 is 1 .

LCM of 25,43,326 is 350450.

The greatest common factor of 663/25,685/43,541/326 = [GCF of 663,685,541]/[LCM of 25,43,326]= 1/350450

Therefore, the GCF of 663/25,685/43,541/326 is 1/350450.

Greatest Common Factor of 663,685,541

To find the highest common factor of 663,685,541, we have to find the factors of both numbers and list the highest common factor.

The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663

The factors of 685 are 1, 5, 137, 685

The factors of 541 are 1, 541

The HCF of 663,685,541 is 1.

Lets's calculate GCF of 663,685,541

Greatest Common Factor (GCF) of 663,685,541 By Common Division

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

Greatest Common Factor of 663,685,541 By Matching Biggest Common Factor Method

Now, list down the factors of 663

1,3,13,17,39,51,221,663

Now, list down the factors of 685

1,5,137,685

Now, list down the factors of 541

1,541

Greatest Common Factor

We found the factors 663,685,541 . The biggest common factor number is the GCF number.
So the greatest common factor 663,685,541 is 1.

Lets's calculate LCM of 25,43,326

Lowest Common Multiple of 25,43,326 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 350450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/350450

Therefore, the GCF of Fractions 663/25,685/43,541/326 is 1/350450

Least Common Multiple of 25,43,326 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 25,43,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,43,326) = 1

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

GCF(25,43,326) x common factors =1 x 1 = 1

LCM(25,43,326) = ( 25 × 43 × 326 ) / 1

LCM(25,43,326) = 350450 / 1

LCM(25,43,326) = 350450

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 663/25, 685/43, 541/326

1. What is the HCF of 663,685,541?

The HCF of 663,685,541 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 663/25, 685/43, 541/326?

Answer: GCF of Numerators as per given numbers 663/25, 685/43, 541/326 is

GCF of Numerators i.e. for 663,685,541 is 1

LCM of denominators i.e. for 25,43,326 is 350450.

Thus, GCF of Fractions is 1/350450.Finally, GCF of Fractions for 663/25, 685/43, 541/326 is 1/350450.