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GCF of 179/26, 469/602

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 179/26, 469/602 i.e 1/7826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 179/26, 469/602.

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 179/26,469/602?

Given fractions are 179/26,469/602

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 179/26,469/602, numerators are 179,469

Denominators are 26,602

The GCF of 179,469 is 1 .

LCM of 26,602 is 7826.

The greatest common factor of 179/26,469/602 = [GCF of 179,469]/[LCM of 26,602]= 1/7826

Therefore, the GCF of 179/26,469/602 is 1/7826.

Greatest Common Factor of 179,469

To find the highest common factor of 179,469, we have to find the factors of both numbers and list the highest common factor.

The factors of 179 are 1, 179

The factors of 469 are 1, 7, 67, 469

The HCF of 179,469 is 1.

Lets's calculate GCF of 179,469

Greatest Common Factor (GCF) of 179,469 By Common Division

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

Greatest Common Factor of 179,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 179,469 By Matching Biggest Common Factor Method

Now, list down the factors of 179

:

1,179

Now, list down the factors of 469

:

1,7,67,469

Greatest Common Factor

We found the factors 179,469 . The biggest common factor number is the GCF number.
So the greatest common factor 179,469 is 1.

Lets's calculate LCM of 26,602

Lowest Common Multiple of 26,602 using Common Division

2 26, 602
13, 301

∴ So the LCM of the given numbers is 2 x 13 x 301 = 7826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7826

Therefore, the GCF of Fractions 179/26,469/602 is 1/7826

Least Common Multiple of 26,602 with GCF Formula

Least Common Multiple of 26,602 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 26,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,602) = 2

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

GCF(26,602) x common factors =2 x 1 = 2

LCM(26,602) = ( 26 × 602 ) / 2

LCM(26,602) = 15652 / 2

LCM(26,602) = 7826


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FAQs on GCF of Fractions of 179/26, 469/602

1. What is the HCF of 179,469?

The HCF of 179,469 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 179/26, 469/602?

Answer: GCF of Numerators as per given numbers 179/26, 469/602 is

GCF of Numerators i.e. for 179,469 is 1

LCM of denominators i.e. for 26,602 is 7826.

Thus, GCF of Fractions is 1/7826.Finally, GCF of Fractions for 179/26, 469/602 is 1/7826.