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GCF of 449/538, 5627/986

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 449/538, 5627/986 i.e 1/265234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 449/538, 5627/986.

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 449/538,5627/986?

Given fractions are 449/538,5627/986

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 449/538,5627/986, numerators are 449,5627

Denominators are 538,986

The GCF of 449,5627 is 1 .

LCM of 538,986 is 265234.

The greatest common factor of 449/538,5627/986 = [GCF of 449,5627]/[LCM of 538,986]= 1/265234

Therefore, the GCF of 449/538,5627/986 is 1/265234.

Greatest Common Factor of 449,5627

To find the highest common factor of 449,5627, we have to find the factors of both numbers and list the highest common factor.

The factors of 449 are 1, 449

The factors of 5627 are 1, 17, 331, 5627

The HCF of 449,5627 is 1.

Lets's calculate GCF of 449,5627

Greatest Common Factor (GCF) of 449,5627 By Common Division

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

Greatest Common Factor of 449,5627 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,5627 By Matching Biggest Common Factor Method

Now, list down the factors of 449

:

1,449

Now, list down the factors of 5627

:

1,17,331,5627

Greatest Common Factor

We found the factors 449,5627 . The biggest common factor number is the GCF number.
So the greatest common factor 449,5627 is 1.

Lets's calculate LCM of 538,986

Lowest Common Multiple of 538,986 using Common Division

2 538, 986
269, 493

∴ So the LCM of the given numbers is 2 x 269 x 493 = 265234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265234

Therefore, the GCF of Fractions 449/538,5627/986 is 1/265234

Least Common Multiple of 538,986 with GCF Formula

Least Common Multiple of 538,986 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 538,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,986) = 2

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

GCF(538,986) x common factors =2 x 1 = 2

LCM(538,986) = ( 538 × 986 ) / 2

LCM(538,986) = 530468 / 2

LCM(538,986) = 265234


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FAQs on GCF of Fractions of 449/538, 5627/986

1. What is the HCF of 449,5627?

The HCF of 449,5627 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 449/538, 5627/986?

Answer: GCF of Numerators as per given numbers 449/538, 5627/986 is

GCF of Numerators i.e. for 449,5627 is 1

LCM of denominators i.e. for 538,986 is 265234.

Thus, GCF of Fractions is 1/265234.Finally, GCF of Fractions for 449/538, 5627/986 is 1/265234.