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GCF of 439/258, 167/662

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 439/258, 167/662 i.e 1/85398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 439/258, 167/662.

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 439/258,167/662?

Given fractions are 439/258,167/662

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 439/258,167/662, numerators are 439,167

Denominators are 258,662

The GCF of 439,167 is 1 .

LCM of 258,662 is 85398.

The greatest common factor of 439/258,167/662 = [GCF of 439,167]/[LCM of 258,662]= 1/85398

Therefore, the GCF of 439/258,167/662 is 1/85398.

Greatest Common Factor of 439,167

To find the highest common factor of 439,167, we have to find the factors of both numbers and list the highest common factor.

The factors of 439 are 1, 439

The factors of 167 are 1, 167

The HCF of 439,167 is 1.

Lets's calculate GCF of 439,167

Greatest Common Factor (GCF) of 439,167 By Common Division

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

Greatest Common Factor of 439,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 439,167 By Matching Biggest Common Factor Method

Now, list down the factors of 439

:

1,439

Now, list down the factors of 167

:

1,167

Greatest Common Factor

We found the factors 439,167 . The biggest common factor number is the GCF number.
So the greatest common factor 439,167 is 1.

Lets's calculate LCM of 258,662

Lowest Common Multiple of 258,662 using Common Division

2 258, 662
129, 331

∴ So the LCM of the given numbers is 2 x 129 x 331 = 85398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85398

Therefore, the GCF of Fractions 439/258,167/662 is 1/85398

Least Common Multiple of 258,662 with GCF Formula

Least Common Multiple of 258,662 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 258,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,662) = 2

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

GCF(258,662) x common factors =2 x 1 = 2

LCM(258,662) = ( 258 × 662 ) / 2

LCM(258,662) = 170796 / 2

LCM(258,662) = 85398


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FAQs on GCF of Fractions of 439/258, 167/662

1. What is the HCF of 439,167?

The HCF of 439,167 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 439/258, 167/662?

Answer: GCF of Numerators as per given numbers 439/258, 167/662 is

GCF of Numerators i.e. for 439,167 is 1

LCM of denominators i.e. for 258,662 is 85398.

Thus, GCF of Fractions is 1/85398.Finally, GCF of Fractions for 439/258, 167/662 is 1/85398.