How to Find GCF of 1798/271, 2781/7653?

GCF of 1798/271, 2781/7653

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 1798/271, 2781/7653 i.e 1/2073963 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1798/271, 2781/7653.

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 1798/271,2781/7653?

Given fractions are 1798/271,2781/7653

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 1798/271,2781/7653, numerators are 1798,2781

Denominators are 271,7653

The GCF of 1798,2781 is 1 .

LCM of 271,7653 is 2073963.

The greatest common factor of 1798/271,2781/7653 = [GCF of 1798,2781]/[LCM of 271,7653]= 1/2073963

Therefore, the GCF of 1798/271,2781/7653 is 1/2073963.

Greatest Common Factor of 1798,2781

To find the highest common factor of 1798,2781, we have to find the factors of both numbers and list the highest common factor.

The factors of 1798 are 1, 2, 29, 31, 58, 62, 899, 1798

The factors of 2781 are 1, 3, 9, 27, 103, 309, 927, 2781

The HCF of 1798,2781 is 1.

Lets's calculate GCF of 1798,2781

Greatest Common Factor (GCF) of 1798,2781 By Common Division

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

Greatest Common Factor of 1798,2781 By Matching Biggest Common Factor Method

Now, list down the factors of 1798

1,2,29,31,58,62,899,1798

Now, list down the factors of 2781

1,3,9,27,103,309,927,2781

Greatest Common Factor

We found the factors 1798,2781 . The biggest common factor number is the GCF number.
So the greatest common factor 1798,2781 is 1.

Lets's calculate LCM of 271,7653

Lowest Common Multiple of 271,7653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2073963

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2073963

Therefore, the GCF of Fractions 1798/271,2781/7653 is 1/2073963

Least Common Multiple of 271,7653 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 271,7653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,7653) = 1

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

GCF(271,7653) x common factors =1 x 1 = 1

LCM(271,7653) = ( 271 × 7653 ) / 1

LCM(271,7653) = 2073963 / 1

LCM(271,7653) = 2073963

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FAQs on GCF of Fractions of 1798/271, 2781/7653

1. What is the HCF of 1798,2781?

The HCF of 1798,2781 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 1798/271, 2781/7653?

Answer: GCF of Numerators as per given numbers 1798/271, 2781/7653 is

GCF of Numerators i.e. for 1798,2781 is 1

LCM of denominators i.e. for 271,7653 is 2073963.

Thus, GCF of Fractions is 1/2073963.Finally, GCF of Fractions for 1798/271, 2781/7653 is 1/2073963.