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GCF of 8727/502, 4019/1544

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 8727/502, 4019/1544 i.e 1/387544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8727/502, 4019/1544.

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 8727/502,4019/1544?

Given fractions are 8727/502,4019/1544

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 8727/502,4019/1544, numerators are 8727,4019

Denominators are 502,1544

The GCF of 8727,4019 is 1 .

LCM of 502,1544 is 387544.

The greatest common factor of 8727/502,4019/1544 = [GCF of 8727,4019]/[LCM of 502,1544]= 1/387544

Therefore, the GCF of 8727/502,4019/1544 is 1/387544.

Greatest Common Factor of 8727,4019

To find the highest common factor of 8727,4019, we have to find the factors of both numbers and list the highest common factor.

The factors of 8727 are 1, 3, 2909, 8727

The factors of 4019 are 1, 4019

The HCF of 8727,4019 is 1.

Lets's calculate GCF of 8727,4019

Greatest Common Factor (GCF) of 8727,4019 By Common Division

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

Greatest Common Factor of 8727,4019 By Matching Biggest Common Factor Method

Greatest Common Factor of 8727,4019 By Matching Biggest Common Factor Method

Now, list down the factors of 8727

:

1,3,2909,8727

Now, list down the factors of 4019

:

1,4019

Greatest Common Factor

We found the factors 8727,4019 . The biggest common factor number is the GCF number.
So the greatest common factor 8727,4019 is 1.

Lets's calculate LCM of 502,1544

Lowest Common Multiple of 502,1544 using Common Division

2 502, 1544
251, 772

∴ So the LCM of the given numbers is 2 x 251 x 772 = 387544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387544

Therefore, the GCF of Fractions 8727/502,4019/1544 is 1/387544

Least Common Multiple of 502,1544 with GCF Formula

Least Common Multiple of 502,1544 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 502,1544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,1544) = 2

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

GCF(502,1544) x common factors =2 x 1 = 2

LCM(502,1544) = ( 502 × 1544 ) / 2

LCM(502,1544) = 775088 / 2

LCM(502,1544) = 387544


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FAQs on GCF of Fractions of 8727/502, 4019/1544

1. What is the HCF of 8727,4019?

The HCF of 8727,4019 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 8727/502, 4019/1544?

Answer: GCF of Numerators as per given numbers 8727/502, 4019/1544 is

GCF of Numerators i.e. for 8727,4019 is 1

LCM of denominators i.e. for 502,1544 is 387544.

Thus, GCF of Fractions is 1/387544.Finally, GCF of Fractions for 8727/502, 4019/1544 is 1/387544.