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GCF of 760/20, 839/443

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 760/20, 839/443 i.e 1/8860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/20, 839/443.

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 760/20,839/443?

Given fractions are 760/20,839/443

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 760/20,839/443, numerators are 760,839

Denominators are 20,443

The GCF of 760,839 is 1 .

LCM of 20,443 is 8860.

The greatest common factor of 760/20,839/443 = [GCF of 760,839]/[LCM of 20,443]= 1/8860

Therefore, the GCF of 760/20,839/443 is 1/8860.

Greatest Common Factor of 760,839

To find the highest common factor of 760,839, we have to find the factors of both numbers and list the highest common factor.

The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

The factors of 839 are 1, 839

The HCF of 760,839 is 1.

Lets's calculate GCF of 760,839

Greatest Common Factor (GCF) of 760,839 By Common Division

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

Greatest Common Factor of 760,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,839 By Matching Biggest Common Factor Method

Now, list down the factors of 760

:

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Now, list down the factors of 839

:

1,839

Greatest Common Factor

We found the factors 760,839 . The biggest common factor number is the GCF number.
So the greatest common factor 760,839 is 1.

Lets's calculate LCM of 20,443

Lowest Common Multiple of 20,443 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8860

Therefore, the GCF of Fractions 760/20,839/443 is 1/8860

Least Common Multiple of 20,443 with GCF Formula

Least Common Multiple of 20,443 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 20,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,443) = 1

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

GCF(20,443) x common factors =1 x 1 = 1

LCM(20,443) = ( 20 × 443 ) / 1

LCM(20,443) = 8860 / 1

LCM(20,443) = 8860


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 760/20, 839/443

1. What is the HCF of 760,839?

The HCF of 760,839 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 760/20, 839/443?

Answer: GCF of Numerators as per given numbers 760/20, 839/443 is

GCF of Numerators i.e. for 760,839 is 1

LCM of denominators i.e. for 20,443 is 8860.

Thus, GCF of Fractions is 1/8860.Finally, GCF of Fractions for 760/20, 839/443 is 1/8860.