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GCF of 884/109, 247/505

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 884/109, 247/505 i.e 13/55045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/109, 247/505.

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 884/109,247/505?

Given fractions are 884/109,247/505

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 884/109,247/505, numerators are 884,247

Denominators are 109,505

The GCF of 884,247 is 13 .

LCM of 109,505 is 55045.

The greatest common factor of 884/109,247/505 = [GCF of 884,247]/[LCM of 109,505]= 13/55045

Therefore, the GCF of 884/109,247/505 is 13/55045.

Greatest Common Factor of 884,247

To find the highest common factor of 884,247, we have to find the factors of both numbers and list the highest common factor.

The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

The factors of 247 are 1, 13, 19, 247

The HCF of 884,247 is 13.

Lets's calculate GCF of 884,247

Greatest Common Factor (GCF) of 884,247 By Common Division

13 884, 247
68, 19

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 884,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,247 By Matching Biggest Common Factor Method

Now, list down the factors of 884

:

1,2,4,13,17,26,34,52,68,221,442,884

Now, list down the factors of 247

:

1,13,19,247

Greatest Common Factor

We found the factors 884,247 . The biggest common factor number is the GCF number.
So the greatest common factor 884,247 is 13.

Lets's calculate LCM of 109,505

Lowest Common Multiple of 109,505 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 55045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/55045

Therefore, the GCF of Fractions 884/109,247/505 is 13/55045

Least Common Multiple of 109,505 with GCF Formula

Least Common Multiple of 109,505 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 109,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,505) = 1

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

GCF(109,505) x common factors =1 x 1 = 1

LCM(109,505) = ( 109 × 505 ) / 1

LCM(109,505) = 55045 / 1

LCM(109,505) = 55045


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FAQs on GCF of Fractions of 884/109, 247/505

1. What is the HCF of 884,247?

The HCF of 884,247 is 13

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 884/109, 247/505?

Answer: GCF of Numerators as per given numbers 884/109, 247/505 is

GCF of Numerators i.e. for 884,247 is 13

LCM of denominators i.e. for 109,505 is 55045.

Thus, GCF of Fractions is 13/55045.Finally, GCF of Fractions for 884/109, 247/505 is 13/55045.