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GCF of 8479/763, 2015/5247

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 8479/763, 2015/5247 i.e 1/4003461 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8479/763, 2015/5247.

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 8479/763,2015/5247?

Given fractions are 8479/763,2015/5247

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 8479/763,2015/5247, numerators are 8479,2015

Denominators are 763,5247

The GCF of 8479,2015 is 1 .

LCM of 763,5247 is 4003461.

The greatest common factor of 8479/763,2015/5247 = [GCF of 8479,2015]/[LCM of 763,5247]= 1/4003461

Therefore, the GCF of 8479/763,2015/5247 is 1/4003461.

Greatest Common Factor of 8479,2015

To find the highest common factor of 8479,2015, we have to find the factors of both numbers and list the highest common factor.

The factors of 8479 are 1, 61, 139, 8479

The factors of 2015 are 1, 5, 13, 31, 65, 155, 403, 2015

The HCF of 8479,2015 is 1.

Lets's calculate GCF of 8479,2015

Greatest Common Factor (GCF) of 8479,2015 By Common Division

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

Greatest Common Factor of 8479,2015 By Matching Biggest Common Factor Method

Greatest Common Factor of 8479,2015 By Matching Biggest Common Factor Method

Now, list down the factors of 8479

:

1,61,139,8479

Now, list down the factors of 2015

:

1,5,13,31,65,155,403,2015

Greatest Common Factor

We found the factors 8479,2015 . The biggest common factor number is the GCF number.
So the greatest common factor 8479,2015 is 1.


Lets's calculate LCM of 763,5247

Lowest Common Multiple of 763,5247 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4003461

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4003461

Therefore, the GCF of Fractions 8479/763,2015/5247 is 1/4003461

Least Common Multiple of 763,5247 with GCF Formula

Least Common Multiple of 763,5247 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 763,5247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,5247) = 1

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

GCF(763,5247) x common factors =1 x 1 = 1

LCM(763,5247) = ( 763 × 5247 ) / 1

LCM(763,5247) = 4003461 / 1

LCM(763,5247) = 4003461


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8479/763, 2015/5247

1. What is the HCF of 8479,2015?

The HCF of 8479,2015 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 8479/763, 2015/5247?

Answer: GCF of Numerators as per given numbers 8479/763, 2015/5247 is

GCF of Numerators i.e. for 8479,2015 is 1

LCM of denominators i.e. for 763,5247 is 4003461.

Thus, GCF of Fractions is 1/4003461.Finally, GCF of Fractions for 8479/763, 2015/5247 is 1/4003461.