How to Find GCF of 3838/472, 4153/8112?

GCF of 3838/472, 4153/8112

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 3838/472, 4153/8112 i.e 1/478608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3838/472, 4153/8112.

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 3838/472,4153/8112?

Given fractions are 3838/472,4153/8112

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 3838/472,4153/8112, numerators are 3838,4153

Denominators are 472,8112

The GCF of 3838,4153 is 1 .

LCM of 472,8112 is 478608.

The greatest common factor of 3838/472,4153/8112 = [GCF of 3838,4153]/[LCM of 472,8112]= 1/478608

Therefore, the GCF of 3838/472,4153/8112 is 1/478608.

Greatest Common Factor of 3838,4153

To find the highest common factor of 3838,4153, we have to find the factors of both numbers and list the highest common factor.

The factors of 3838 are 1, 2, 19, 38, 101, 202, 1919, 3838

The factors of 4153 are 1, 4153

The HCF of 3838,4153 is 1.

Lets's calculate GCF of 3838,4153

Greatest Common Factor (GCF) of 3838,4153 By Common Division

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

Greatest Common Factor of 3838,4153 By Matching Biggest Common Factor Method

Now, list down the factors of 3838

1,2,19,38,101,202,1919,3838

Now, list down the factors of 4153

1,4153

Greatest Common Factor

We found the factors 3838,4153 . The biggest common factor number is the GCF number.
So the greatest common factor 3838,4153 is 1.

Lets's calculate LCM of 472,8112

Lowest Common Multiple of 472,8112 using Common Division

2	472, 8112
2	236, 4056
2	118, 2028
	59, 1014

∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 1014 = 478608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/478608

Therefore, the GCF of Fractions 3838/472,4153/8112 is 1/478608

Least Common Multiple of 472,8112 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 472,8112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,8112) = 8

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

GCF(472,8112) x common factors =8 x 1 = 8

LCM(472,8112) = ( 472 × 8112 ) / 8

LCM(472,8112) = 3828864 / 8

LCM(472,8112) = 478608

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FAQs on GCF of Fractions of 3838/472, 4153/8112

1. What is the HCF of 3838,4153?

The HCF of 3838,4153 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 3838/472, 4153/8112?

Answer: GCF of Numerators as per given numbers 3838/472, 4153/8112 is

GCF of Numerators i.e. for 3838,4153 is 1

LCM of denominators i.e. for 472,8112 is 478608.

Thus, GCF of Fractions is 1/478608.Finally, GCF of Fractions for 3838/472, 4153/8112 is 1/478608.