How to Find GCF of 3705/936, 2413/5669?

GCF of 3705/936, 2413/5669

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 3705/936, 2413/5669 i.e 19/5306184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3705/936, 2413/5669.

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 3705/936,2413/5669?

Given fractions are 3705/936,2413/5669

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 3705/936,2413/5669, numerators are 3705,2413

Denominators are 936,5669

The GCF of 3705,2413 is 19 .

LCM of 936,5669 is 5306184.

The greatest common factor of 3705/936,2413/5669 = [GCF of 3705,2413]/[LCM of 936,5669]= 19/5306184

Therefore, the GCF of 3705/936,2413/5669 is 19/5306184.

Greatest Common Factor of 3705,2413

To find the highest common factor of 3705,2413, we have to find the factors of both numbers and list the highest common factor.

The factors of 3705 are 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235, 3705

The factors of 2413 are 1, 19, 127, 2413

The HCF of 3705,2413 is 19.

Lets's calculate GCF of 3705,2413

Greatest Common Factor (GCF) of 3705,2413 By Common Division

19	3705, 2413
	195, 127

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 3705,2413 By Matching Biggest Common Factor Method

Now, list down the factors of 3705

1,3,5,13,15,19,39,57,65,95,195,247,285,741,1235,3705

Now, list down the factors of 2413

1,19,127,2413

Greatest Common Factor

We found the factors 3705,2413 . The biggest common factor number is the GCF number.
So the greatest common factor 3705,2413 is 19.

Lets's calculate LCM of 936,5669

Lowest Common Multiple of 936,5669 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5306184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/5306184

Therefore, the GCF of Fractions 3705/936,2413/5669 is 19/5306184

Least Common Multiple of 936,5669 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 936,5669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,5669) = 1

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

GCF(936,5669) x common factors =1 x 1 = 1

LCM(936,5669) = ( 936 × 5669 ) / 1

LCM(936,5669) = 5306184 / 1

LCM(936,5669) = 5306184

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FAQs on GCF of Fractions of 3705/936, 2413/5669

1. What is the HCF of 3705,2413?

The HCF of 3705,2413 is 19

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 3705/936, 2413/5669?

Answer: GCF of Numerators as per given numbers 3705/936, 2413/5669 is

GCF of Numerators i.e. for 3705,2413 is 19

LCM of denominators i.e. for 936,5669 is 5306184.

Thus, GCF of Fractions is 19/5306184.Finally, GCF of Fractions for 3705/936, 2413/5669 is 19/5306184.