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GCF of 844/499, 521/528

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 844/499, 521/528 i.e 1/263472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/499, 521/528.

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 844/499,521/528?

Given fractions are 844/499,521/528

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 844/499,521/528, numerators are 844,521

Denominators are 499,528

The GCF of 844,521 is 1 .

LCM of 499,528 is 263472.

The greatest common factor of 844/499,521/528 = [GCF of 844,521]/[LCM of 499,528]= 1/263472

Therefore, the GCF of 844/499,521/528 is 1/263472.

Greatest Common Factor of 844,521

To find the highest common factor of 844,521, we have to find the factors of both numbers and list the highest common factor.

The factors of 844 are 1, 2, 4, 211, 422, 844

The factors of 521 are 1, 521

The HCF of 844,521 is 1.

Lets's calculate GCF of 844,521

Greatest Common Factor (GCF) of 844,521 By Common Division

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

Greatest Common Factor of 844,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,521 By Matching Biggest Common Factor Method

Now, list down the factors of 844

:

1,2,4,211,422,844

Now, list down the factors of 521

:

1,521

Greatest Common Factor

We found the factors 844,521 . The biggest common factor number is the GCF number.
So the greatest common factor 844,521 is 1.

Lets's calculate LCM of 499,528

Lowest Common Multiple of 499,528 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 263472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263472

Therefore, the GCF of Fractions 844/499,521/528 is 1/263472

Least Common Multiple of 499,528 with GCF Formula

Least Common Multiple of 499,528 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 499,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,528) = 1

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

GCF(499,528) x common factors =1 x 1 = 1

LCM(499,528) = ( 499 × 528 ) / 1

LCM(499,528) = 263472 / 1

LCM(499,528) = 263472


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FAQs on GCF of Fractions of 844/499, 521/528

1. What is the HCF of 844,521?

The HCF of 844,521 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 844/499, 521/528?

Answer: GCF of Numerators as per given numbers 844/499, 521/528 is

GCF of Numerators i.e. for 844,521 is 1

LCM of denominators i.e. for 499,528 is 263472.

Thus, GCF of Fractions is 1/263472.Finally, GCF of Fractions for 844/499, 521/528 is 1/263472.