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GCF of 238/682, 826/142

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 238/682, 826/142 i.e 14/48422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 238/682, 826/142.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 238/682,826/142?

Given fractions are 238/682,826/142

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 238/682,826/142, numerators are 238,826

Denominators are 682,142

The GCF of 238,826 is 14 .

LCM of 682,142 is 48422.

The greatest common factor of 238/682,826/142 = [GCF of 238,826]/[LCM of 682,142]= 14/48422

Therefore, the GCF of 238/682,826/142 is 14/48422.

Greatest Common Factor of 238,826

To find the highest common factor of 238,826, we have to find the factors of both numbers and list the highest common factor.

The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238

The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826

The HCF of 238,826 is 14.

Lets's calculate GCF of 238,826

Greatest Common Factor (GCF) of 238,826 By Common Division

2 238, 826
7 119, 413
17, 59

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 238,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,826 By Matching Biggest Common Factor Method

Now, list down the factors of 238

:

1,2,7,14,17,34,119,238

Now, list down the factors of 826

:

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 238,826 . The biggest common factor number is the GCF number.
So the greatest common factor 238,826 is 14.

Lets's calculate LCM of 682,142

Lowest Common Multiple of 682,142 using Common Division

2 682, 142
341, 71

∴ So the LCM of the given numbers is 2 x 341 x 71 = 48422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/48422

Therefore, the GCF of Fractions 238/682,826/142 is 14/48422

Least Common Multiple of 682,142 with GCF Formula

Least Common Multiple of 682,142 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 682,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,142) = 2

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

GCF(682,142) x common factors =2 x 1 = 2

LCM(682,142) = ( 682 × 142 ) / 2

LCM(682,142) = 96844 / 2

LCM(682,142) = 48422


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FAQs on GCF of Fractions of 238/682, 826/142

1. What is the HCF of 238,826?

The HCF of 238,826 is 14

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 238/682, 826/142?

Answer: GCF of Numerators as per given numbers 238/682, 826/142 is

GCF of Numerators i.e. for 238,826 is 14

LCM of denominators i.e. for 682,142 is 48422.

Thus, GCF of Fractions is 14/48422.Finally, GCF of Fractions for 238/682, 826/142 is 14/48422.