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GCF of 228/42, 439/686

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 228/42, 439/686 i.e 1/2058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 228/42, 439/686.

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 228/42,439/686?

Given fractions are 228/42,439/686

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 228/42,439/686, numerators are 228,439

Denominators are 42,686

The GCF of 228,439 is 1 .

LCM of 42,686 is 2058.

The greatest common factor of 228/42,439/686 = [GCF of 228,439]/[LCM of 42,686]= 1/2058

Therefore, the GCF of 228/42,439/686 is 1/2058.

Greatest Common Factor of 228,439

To find the highest common factor of 228,439, we have to find the factors of both numbers and list the highest common factor.

The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

The factors of 439 are 1, 439

The HCF of 228,439 is 1.

Lets's calculate GCF of 228,439

Greatest Common Factor (GCF) of 228,439 By Common Division

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

Greatest Common Factor of 228,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,439 By Matching Biggest Common Factor Method

Now, list down the factors of 228

:

1,2,3,4,6,12,19,38,57,76,114,228

Now, list down the factors of 439

:

1,439

Greatest Common Factor

We found the factors 228,439 . The biggest common factor number is the GCF number.
So the greatest common factor 228,439 is 1.

Lets's calculate LCM of 42,686

Lowest Common Multiple of 42,686 using Common Division

2 42, 686
7 21, 343
3, 49

∴ So the LCM of the given numbers is 2 x 7 x 3 x 49 = 2058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2058

Therefore, the GCF of Fractions 228/42,439/686 is 1/2058

Least Common Multiple of 42,686 with GCF Formula

Least Common Multiple of 42,686 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 42,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,686) = 14

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

GCF(42,686) x common factors =14 x 1 = 14

LCM(42,686) = ( 42 × 686 ) / 14

LCM(42,686) = 28812 / 14

LCM(42,686) = 2058


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FAQs on GCF of Fractions of 228/42, 439/686

1. What is the HCF of 228,439?

The HCF of 228,439 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 228/42, 439/686?

Answer: GCF of Numerators as per given numbers 228/42, 439/686 is

GCF of Numerators i.e. for 228,439 is 1

LCM of denominators i.e. for 42,686 is 2058.

Thus, GCF of Fractions is 1/2058.Finally, GCF of Fractions for 228/42, 439/686 is 1/2058.