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GCF of 673/180, 505/346

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 673/180, 505/346 i.e 1/31140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 673/180, 505/346.

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 673/180,505/346?

Given fractions are 673/180,505/346

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 673/180,505/346, numerators are 673,505

Denominators are 180,346

The GCF of 673,505 is 1 .

LCM of 180,346 is 31140.

The greatest common factor of 673/180,505/346 = [GCF of 673,505]/[LCM of 180,346]= 1/31140

Therefore, the GCF of 673/180,505/346 is 1/31140.

Greatest Common Factor of 673,505

To find the highest common factor of 673,505, we have to find the factors of both numbers and list the highest common factor.

The factors of 673 are 1, 673

The factors of 505 are 1, 5, 101, 505

The HCF of 673,505 is 1.

Lets's calculate GCF of 673,505

Greatest Common Factor (GCF) of 673,505 By Common Division

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

Greatest Common Factor of 673,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,505 By Matching Biggest Common Factor Method

Now, list down the factors of 673

:

1,673

Now, list down the factors of 505

:

1,5,101,505

Greatest Common Factor

We found the factors 673,505 . The biggest common factor number is the GCF number.
So the greatest common factor 673,505 is 1.

Lets's calculate LCM of 180,346

Lowest Common Multiple of 180,346 using Common Division

2 180, 346
90, 173

∴ So the LCM of the given numbers is 2 x 90 x 173 = 31140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31140

Therefore, the GCF of Fractions 673/180,505/346 is 1/31140

Least Common Multiple of 180,346 with GCF Formula

Least Common Multiple of 180,346 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 180,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,346) = 2

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

GCF(180,346) x common factors =2 x 1 = 2

LCM(180,346) = ( 180 × 346 ) / 2

LCM(180,346) = 62280 / 2

LCM(180,346) = 31140


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FAQs on GCF of Fractions of 673/180, 505/346

1. What is the HCF of 673,505?

The HCF of 673,505 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 673/180, 505/346?

Answer: GCF of Numerators as per given numbers 673/180, 505/346 is

GCF of Numerators i.e. for 673,505 is 1

LCM of denominators i.e. for 180,346 is 31140.

Thus, GCF of Fractions is 1/31140.Finally, GCF of Fractions for 673/180, 505/346 is 1/31140.