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GCF of 781/20, 109/439

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 781/20, 109/439 i.e 1/8780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 781/20, 109/439.

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 781/20,109/439?

Given fractions are 781/20,109/439

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 781/20,109/439, numerators are 781,109

Denominators are 20,439

The GCF of 781,109 is 1 .

LCM of 20,439 is 8780.

The greatest common factor of 781/20,109/439 = [GCF of 781,109]/[LCM of 20,439]= 1/8780

Therefore, the GCF of 781/20,109/439 is 1/8780.

Greatest Common Factor of 781,109

To find the highest common factor of 781,109, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 109 are 1, 109

The HCF of 781,109 is 1.

Lets's calculate GCF of 781,109

Greatest Common Factor (GCF) of 781,109 By Common Division

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

Greatest Common Factor of 781,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,109 By Matching Biggest Common Factor Method

Now, list down the factors of 781

:

1,11,71,781

Now, list down the factors of 109

:

1,109

Greatest Common Factor

We found the factors 781,109 . The biggest common factor number is the GCF number.
So the greatest common factor 781,109 is 1.

Lets's calculate LCM of 20,439

Lowest Common Multiple of 20,439 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8780

Therefore, the GCF of Fractions 781/20,109/439 is 1/8780

Least Common Multiple of 20,439 with GCF Formula

Least Common Multiple of 20,439 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 20,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,439) = 1

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

GCF(20,439) x common factors =1 x 1 = 1

LCM(20,439) = ( 20 × 439 ) / 1

LCM(20,439) = 8780 / 1

LCM(20,439) = 8780


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FAQs on GCF of Fractions of 781/20, 109/439

1. What is the HCF of 781,109?

The HCF of 781,109 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 781/20, 109/439?

Answer: GCF of Numerators as per given numbers 781/20, 109/439 is

GCF of Numerators i.e. for 781,109 is 1

LCM of denominators i.e. for 20,439 is 8780.

Thus, GCF of Fractions is 1/8780.Finally, GCF of Fractions for 781/20, 109/439 is 1/8780.