How to Find GCF of 3416/491, 1303/3539?

GCF of 3416/491, 1303/3539

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 3416/491, 1303/3539 i.e 1/1737649 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3416/491, 1303/3539.

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 3416/491,1303/3539?

Given fractions are 3416/491,1303/3539

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 3416/491,1303/3539, numerators are 3416,1303

Denominators are 491,3539

The GCF of 3416,1303 is 1 .

LCM of 491,3539 is 1737649.

The greatest common factor of 3416/491,1303/3539 = [GCF of 3416,1303]/[LCM of 491,3539]= 1/1737649

Therefore, the GCF of 3416/491,1303/3539 is 1/1737649.

Greatest Common Factor of 3416,1303

To find the highest common factor of 3416,1303, we have to find the factors of both numbers and list the highest common factor.

The factors of 3416 are 1, 2, 4, 7, 8, 14, 28, 56, 61, 122, 244, 427, 488, 854, 1708, 3416

The factors of 1303 are 1, 1303

The HCF of 3416,1303 is 1.

Lets's calculate GCF of 3416,1303

Greatest Common Factor (GCF) of 3416,1303 By Common Division

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

Greatest Common Factor of 3416,1303 By Matching Biggest Common Factor Method

Now, list down the factors of 3416

1,2,4,7,8,14,28,56,61,122,244,427,488,854,1708,3416

Now, list down the factors of 1303

1,1303

Greatest Common Factor

We found the factors 3416,1303 . The biggest common factor number is the GCF number.
So the greatest common factor 3416,1303 is 1.

Lets's calculate LCM of 491,3539

Lowest Common Multiple of 491,3539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1737649

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1737649

Therefore, the GCF of Fractions 3416/491,1303/3539 is 1/1737649

Least Common Multiple of 491,3539 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 491,3539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,3539) = 1

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

GCF(491,3539) x common factors =1 x 1 = 1

LCM(491,3539) = ( 491 × 3539 ) / 1

LCM(491,3539) = 1737649 / 1

LCM(491,3539) = 1737649

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3416/491, 1303/3539

1. What is the HCF of 3416,1303?

The HCF of 3416,1303 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 3416/491, 1303/3539?

Answer: GCF of Numerators as per given numbers 3416/491, 1303/3539 is

GCF of Numerators i.e. for 3416,1303 is 1

LCM of denominators i.e. for 491,3539 is 1737649.

Thus, GCF of Fractions is 1/1737649.Finally, GCF of Fractions for 3416/491, 1303/3539 is 1/1737649.