How to Find GCF of 5533/881, 2686/7798?

GCF of 5533/881, 2686/7798

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 5533/881, 2686/7798 i.e 1/6870038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5533/881, 2686/7798.

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 5533/881,2686/7798?

Given fractions are 5533/881,2686/7798

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 5533/881,2686/7798, numerators are 5533,2686

Denominators are 881,7798

The GCF of 5533,2686 is 1 .

LCM of 881,7798 is 6870038.

The greatest common factor of 5533/881,2686/7798 = [GCF of 5533,2686]/[LCM of 881,7798]= 1/6870038

Therefore, the GCF of 5533/881,2686/7798 is 1/6870038.

Greatest Common Factor of 5533,2686

To find the highest common factor of 5533,2686, we have to find the factors of both numbers and list the highest common factor.

The factors of 5533 are 1, 11, 503, 5533

The factors of 2686 are 1, 2, 17, 34, 79, 158, 1343, 2686

The HCF of 5533,2686 is 1.

Lets's calculate GCF of 5533,2686

Greatest Common Factor (GCF) of 5533,2686 By Common Division

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

Greatest Common Factor of 5533,2686 By Matching Biggest Common Factor Method

Now, list down the factors of 5533

1,11,503,5533

Now, list down the factors of 2686

1,2,17,34,79,158,1343,2686

Greatest Common Factor

We found the factors 5533,2686 . The biggest common factor number is the GCF number.
So the greatest common factor 5533,2686 is 1.

Lets's calculate LCM of 881,7798

Lowest Common Multiple of 881,7798 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6870038

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6870038

Therefore, the GCF of Fractions 5533/881,2686/7798 is 1/6870038

Least Common Multiple of 881,7798 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 881,7798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(881,7798) = 1

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

GCF(881,7798) x common factors =1 x 1 = 1

LCM(881,7798) = ( 881 × 7798 ) / 1

LCM(881,7798) = 6870038 / 1

LCM(881,7798) = 6870038

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FAQs on GCF of Fractions of 5533/881, 2686/7798

1. What is the HCF of 5533,2686?

The HCF of 5533,2686 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 5533/881, 2686/7798?

Answer: GCF of Numerators as per given numbers 5533/881, 2686/7798 is

GCF of Numerators i.e. for 5533,2686 is 1

LCM of denominators i.e. for 881,7798 is 6870038.

Thus, GCF of Fractions is 1/6870038.Finally, GCF of Fractions for 5533/881, 2686/7798 is 1/6870038.