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GCF of 673/181, 5987/840

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 673/181, 5987/840 i.e 1/152040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 673/181, 5987/840.

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 673/181,5987/840?

Given fractions are 673/181,5987/840

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 673/181,5987/840, numerators are 673,5987

Denominators are 181,840

The GCF of 673,5987 is 1 .

LCM of 181,840 is 152040.

The greatest common factor of 673/181,5987/840 = [GCF of 673,5987]/[LCM of 181,840]= 1/152040

Therefore, the GCF of 673/181,5987/840 is 1/152040.

Greatest Common Factor of 673,5987

To find the highest common factor of 673,5987, 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 5987 are 1, 5987

The HCF of 673,5987 is 1.

Lets's calculate GCF of 673,5987

Greatest Common Factor (GCF) of 673,5987 By Common Division

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

Greatest Common Factor of 673,5987 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,5987 By Matching Biggest Common Factor Method

Now, list down the factors of 673

:

1,673

Now, list down the factors of 5987

:

1,5987

Greatest Common Factor

We found the factors 673,5987 . The biggest common factor number is the GCF number.
So the greatest common factor 673,5987 is 1.

Lets's calculate LCM of 181,840

Lowest Common Multiple of 181,840 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 152040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152040

Therefore, the GCF of Fractions 673/181,5987/840 is 1/152040

Least Common Multiple of 181,840 with GCF Formula

Least Common Multiple of 181,840 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 181,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,840) = 1

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

GCF(181,840) x common factors =1 x 1 = 1

LCM(181,840) = ( 181 × 840 ) / 1

LCM(181,840) = 152040 / 1

LCM(181,840) = 152040


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FAQs on GCF of Fractions of 673/181, 5987/840

1. What is the HCF of 673,5987?

The HCF of 673,5987 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 673/181, 5987/840?

Answer: GCF of Numerators as per given numbers 673/181, 5987/840 is

GCF of Numerators i.e. for 673,5987 is 1

LCM of denominators i.e. for 181,840 is 152040.

Thus, GCF of Fractions is 1/152040.Finally, GCF of Fractions for 673/181, 5987/840 is 1/152040.