How to Find GCF of 34/238, 7916/8381?

GCF of 34/238, 7916/8381

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 34/238, 7916/8381 i.e 2/117334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/238, 7916/8381.

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 34/238,7916/8381?

Given fractions are 34/238,7916/8381

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 34/238,7916/8381, numerators are 34,7916

Denominators are 238,8381

The GCF of 34,7916 is 2 .

LCM of 238,8381 is 117334.

The greatest common factor of 34/238,7916/8381 = [GCF of 34,7916]/[LCM of 238,8381]= 2/117334

Therefore, the GCF of 34/238,7916/8381 is 2/117334.

Greatest Common Factor of 34,7916

To find the highest common factor of 34,7916, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 7916 are 1, 2, 4, 1979, 3958, 7916

The HCF of 34,7916 is 2.

Lets's calculate GCF of 34,7916

Greatest Common Factor (GCF) of 34,7916 By Common Division

2	34, 7916
	17, 3958

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 34,7916 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 7916

1,2,4,1979,3958,7916

Greatest Common Factor

We found the factors 34,7916 . The biggest common factor number is the GCF number.
So the greatest common factor 34,7916 is 2.

Lets's calculate LCM of 238,8381

Lowest Common Multiple of 238,8381 using Common Division

17	238, 8381
	14, 493

∴ So the LCM of the given numbers is 17 x 14 x 493 = 117334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/117334

Therefore, the GCF of Fractions 34/238,7916/8381 is 2/117334

Least Common Multiple of 238,8381 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 238,8381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,8381) = 17

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

GCF(238,8381) x common factors =17 x 1 = 17

LCM(238,8381) = ( 238 × 8381 ) / 17

LCM(238,8381) = 1994678 / 17

LCM(238,8381) = 117334

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FAQs on GCF of Fractions of 34/238, 7916/8381

1. What is the HCF of 34,7916?

The HCF of 34,7916 is 2

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 34/238, 7916/8381?

Answer: GCF of Numerators as per given numbers 34/238, 7916/8381 is

GCF of Numerators i.e. for 34,7916 is 2

LCM of denominators i.e. for 238,8381 is 117334.

Thus, GCF of Fractions is 2/117334.Finally, GCF of Fractions for 34/238, 7916/8381 is 2/117334.