How to Find GCF of 5553/279, 2890/2897?

GCF of 5553/279, 2890/2897

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 5553/279, 2890/2897 i.e 1/808263 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5553/279, 2890/2897.

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 5553/279,2890/2897?

Given fractions are 5553/279,2890/2897

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 5553/279,2890/2897, numerators are 5553,2890

Denominators are 279,2897

The GCF of 5553,2890 is 1 .

LCM of 279,2897 is 808263.

The greatest common factor of 5553/279,2890/2897 = [GCF of 5553,2890]/[LCM of 279,2897]= 1/808263

Therefore, the GCF of 5553/279,2890/2897 is 1/808263.

Greatest Common Factor of 5553,2890

To find the highest common factor of 5553,2890, we have to find the factors of both numbers and list the highest common factor.

The factors of 5553 are 1, 3, 9, 617, 1851, 5553

The factors of 2890 are 1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445, 2890

The HCF of 5553,2890 is 1.

Lets's calculate GCF of 5553,2890

Greatest Common Factor (GCF) of 5553,2890 By Common Division

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

Greatest Common Factor of 5553,2890 By Matching Biggest Common Factor Method

Now, list down the factors of 5553

1,3,9,617,1851,5553

Now, list down the factors of 2890

1,2,5,10,17,34,85,170,289,578,1445,2890

Greatest Common Factor

We found the factors 5553,2890 . The biggest common factor number is the GCF number.
So the greatest common factor 5553,2890 is 1.

Lets's calculate LCM of 279,2897

Lowest Common Multiple of 279,2897 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 808263

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/808263

Therefore, the GCF of Fractions 5553/279,2890/2897 is 1/808263

Least Common Multiple of 279,2897 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 279,2897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,2897) = 1

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

GCF(279,2897) x common factors =1 x 1 = 1

LCM(279,2897) = ( 279 × 2897 ) / 1

LCM(279,2897) = 808263 / 1

LCM(279,2897) = 808263

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FAQs on GCF of Fractions of 5553/279, 2890/2897

1. What is the HCF of 5553,2890?

The HCF of 5553,2890 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 5553/279, 2890/2897?

Answer: GCF of Numerators as per given numbers 5553/279, 2890/2897 is

GCF of Numerators i.e. for 5553,2890 is 1

LCM of denominators i.e. for 279,2897 is 808263.

Thus, GCF of Fractions is 1/808263.Finally, GCF of Fractions for 5553/279, 2890/2897 is 1/808263.