How to Find GCF of 3806/169, 8140/5931?

GCF of 3806/169, 8140/5931

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 3806/169, 8140/5931 i.e 22/1002339 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3806/169, 8140/5931.

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 3806/169,8140/5931?

Given fractions are 3806/169,8140/5931

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 3806/169,8140/5931, numerators are 3806,8140

Denominators are 169,5931

The GCF of 3806,8140 is 22 .

LCM of 169,5931 is 1002339.

The greatest common factor of 3806/169,8140/5931 = [GCF of 3806,8140]/[LCM of 169,5931]= 22/1002339

Therefore, the GCF of 3806/169,8140/5931 is 22/1002339.

Greatest Common Factor of 3806,8140

To find the highest common factor of 3806,8140, we have to find the factors of both numbers and list the highest common factor.

The factors of 3806 are 1, 2, 11, 22, 173, 346, 1903, 3806

The factors of 8140 are 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140

The HCF of 3806,8140 is 22.

Lets's calculate GCF of 3806,8140

Greatest Common Factor (GCF) of 3806,8140 By Common Division

2	3806, 8140
11	1903, 4070
	173, 370

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 3806,8140 By Matching Biggest Common Factor Method

Now, list down the factors of 3806

1,2,11,22,173,346,1903,3806

Now, list down the factors of 8140

1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140

Greatest Common Factor

We found the factors 3806,8140 . The biggest common factor number is the GCF number.
So the greatest common factor 3806,8140 is 22.

Lets's calculate LCM of 169,5931

Lowest Common Multiple of 169,5931 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1002339

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/1002339

Therefore, the GCF of Fractions 3806/169,8140/5931 is 22/1002339

Least Common Multiple of 169,5931 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 169,5931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,5931) = 1

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

GCF(169,5931) x common factors =1 x 1 = 1

LCM(169,5931) = ( 169 × 5931 ) / 1

LCM(169,5931) = 1002339 / 1

LCM(169,5931) = 1002339

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3806/169, 8140/5931

1. What is the HCF of 3806,8140?

The HCF of 3806,8140 is 22

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 3806/169, 8140/5931?

Answer: GCF of Numerators as per given numbers 3806/169, 8140/5931 is

GCF of Numerators i.e. for 3806,8140 is 22

LCM of denominators i.e. for 169,5931 is 1002339.

Thus, GCF of Fractions is 22/1002339.Finally, GCF of Fractions for 3806/169, 8140/5931 is 22/1002339.