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GCF of 671/590, 781/685

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 671/590, 781/685 i.e 11/80830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 671/590, 781/685.

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 671/590,781/685?

Given fractions are 671/590,781/685

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 671/590,781/685, numerators are 671,781

Denominators are 590,685

The GCF of 671,781 is 11 .

LCM of 590,685 is 80830.

The greatest common factor of 671/590,781/685 = [GCF of 671,781]/[LCM of 590,685]= 11/80830

Therefore, the GCF of 671/590,781/685 is 11/80830.

Greatest Common Factor of 671,781

To find the highest common factor of 671,781, we have to find the factors of both numbers and list the highest common factor.

The factors of 671 are 1, 11, 61, 671

The factors of 781 are 1, 11, 71, 781

The HCF of 671,781 is 11.

Lets's calculate GCF of 671,781

Greatest Common Factor (GCF) of 671,781 By Common Division

11 671, 781
61, 71

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 671,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 671,781 By Matching Biggest Common Factor Method

Now, list down the factors of 671

:

1,11,61,671

Now, list down the factors of 781

:

1,11,71,781

Greatest Common Factor

We found the factors 671,781 . The biggest common factor number is the GCF number.
So the greatest common factor 671,781 is 11.

Lets's calculate LCM of 590,685

Lowest Common Multiple of 590,685 using Common Division

5 590, 685
118, 137

∴ So the LCM of the given numbers is 5 x 118 x 137 = 80830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/80830

Therefore, the GCF of Fractions 671/590,781/685 is 11/80830

Least Common Multiple of 590,685 with GCF Formula

Least Common Multiple of 590,685 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 590,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,685) = 5

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

GCF(590,685) x common factors =5 x 1 = 5

LCM(590,685) = ( 590 × 685 ) / 5

LCM(590,685) = 404150 / 5

LCM(590,685) = 80830


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FAQs on GCF of Fractions of 671/590, 781/685

1. What is the HCF of 671,781?

The HCF of 671,781 is 11

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 671/590, 781/685?

Answer: GCF of Numerators as per given numbers 671/590, 781/685 is

GCF of Numerators i.e. for 671,781 is 11

LCM of denominators i.e. for 590,685 is 80830.

Thus, GCF of Fractions is 11/80830.Finally, GCF of Fractions for 671/590, 781/685 is 11/80830.