How to Find GCF of 1399/271, 4871/1819?

GCF of 1399/271, 4871/1819

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 1399/271, 4871/1819 i.e 1/492949 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1399/271, 4871/1819.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1399/271,4871/1819?

Given fractions are 1399/271,4871/1819

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 1399/271,4871/1819, numerators are 1399,4871

Denominators are 271,1819

The GCF of 1399,4871 is 1 .

LCM of 271,1819 is 492949.

The greatest common factor of 1399/271,4871/1819 = [GCF of 1399,4871]/[LCM of 271,1819]= 1/492949

Therefore, the GCF of 1399/271,4871/1819 is 1/492949.

Greatest Common Factor of 1399,4871

To find the highest common factor of 1399,4871, we have to find the factors of both numbers and list the highest common factor.

The factors of 1399 are 1, 1399

The factors of 4871 are 1, 4871

The HCF of 1399,4871 is 1.

Lets's calculate GCF of 1399,4871

Greatest Common Factor (GCF) of 1399,4871 By Common Division

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

Greatest Common Factor of 1399,4871 By Matching Biggest Common Factor Method

Now, list down the factors of 1399

1,1399

Now, list down the factors of 4871

1,4871

Greatest Common Factor

We found the factors 1399,4871 . The biggest common factor number is the GCF number.
So the greatest common factor 1399,4871 is 1.

Lets's calculate LCM of 271,1819

Lowest Common Multiple of 271,1819 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 492949

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/492949

Therefore, the GCF of Fractions 1399/271,4871/1819 is 1/492949

Least Common Multiple of 271,1819 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 271,1819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,1819) = 1

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

GCF(271,1819) x common factors =1 x 1 = 1

LCM(271,1819) = ( 271 × 1819 ) / 1

LCM(271,1819) = 492949 / 1

LCM(271,1819) = 492949

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FAQs on GCF of Fractions of 1399/271, 4871/1819

1. What is the HCF of 1399,4871?

The HCF of 1399,4871 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 1399/271, 4871/1819?

Answer: GCF of Numerators as per given numbers 1399/271, 4871/1819 is

GCF of Numerators i.e. for 1399,4871 is 1

LCM of denominators i.e. for 271,1819 is 492949.

Thus, GCF of Fractions is 1/492949.Finally, GCF of Fractions for 1399/271, 4871/1819 is 1/492949.