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GCF of 819/90, 538/1474

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 819/90, 538/1474 i.e 1/66330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 819/90, 538/1474.

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 819/90,538/1474?

Given fractions are 819/90,538/1474

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 819/90,538/1474, numerators are 819,538

Denominators are 90,1474

The GCF of 819,538 is 1 .

LCM of 90,1474 is 66330.

The greatest common factor of 819/90,538/1474 = [GCF of 819,538]/[LCM of 90,1474]= 1/66330

Therefore, the GCF of 819/90,538/1474 is 1/66330.

Greatest Common Factor of 819,538

To find the highest common factor of 819,538, we have to find the factors of both numbers and list the highest common factor.

The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

The factors of 538 are 1, 2, 269, 538

The HCF of 819,538 is 1.

Lets's calculate GCF of 819,538

Greatest Common Factor (GCF) of 819,538 By Common Division

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

Greatest Common Factor of 819,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,538 By Matching Biggest Common Factor Method

Now, list down the factors of 819

:

1,3,7,9,13,21,39,63,91,117,273,819

Now, list down the factors of 538

:

1,2,269,538

Greatest Common Factor

We found the factors 819,538 . The biggest common factor number is the GCF number.
So the greatest common factor 819,538 is 1.

Lets's calculate LCM of 90,1474

Lowest Common Multiple of 90,1474 using Common Division

2 90, 1474
45, 737

∴ So the LCM of the given numbers is 2 x 45 x 737 = 66330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66330

Therefore, the GCF of Fractions 819/90,538/1474 is 1/66330

Least Common Multiple of 90,1474 with GCF Formula

Least Common Multiple of 90,1474 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 90,1474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,1474) = 2

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

GCF(90,1474) x common factors =2 x 1 = 2

LCM(90,1474) = ( 90 × 1474 ) / 2

LCM(90,1474) = 132660 / 2

LCM(90,1474) = 66330


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FAQs on GCF of Fractions of 819/90, 538/1474

1. What is the HCF of 819,538?

The HCF of 819,538 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 819/90, 538/1474?

Answer: GCF of Numerators as per given numbers 819/90, 538/1474 is

GCF of Numerators i.e. for 819,538 is 1

LCM of denominators i.e. for 90,1474 is 66330.

Thus, GCF of Fractions is 1/66330.Finally, GCF of Fractions for 819/90, 538/1474 is 1/66330.