How to Find GCF of 5258/603, 4913/1102?

GCF of 5258/603, 4913/1102

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 5258/603, 4913/1102 i.e 1/664506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5258/603, 4913/1102.

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 5258/603,4913/1102?

Given fractions are 5258/603,4913/1102

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 5258/603,4913/1102, numerators are 5258,4913

Denominators are 603,1102

The GCF of 5258,4913 is 1 .

LCM of 603,1102 is 664506.

The greatest common factor of 5258/603,4913/1102 = [GCF of 5258,4913]/[LCM of 603,1102]= 1/664506

Therefore, the GCF of 5258/603,4913/1102 is 1/664506.

Greatest Common Factor of 5258,4913

To find the highest common factor of 5258,4913, we have to find the factors of both numbers and list the highest common factor.

The factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258

The factors of 4913 are 1, 17, 289, 4913

The HCF of 5258,4913 is 1.

Lets's calculate GCF of 5258,4913

Greatest Common Factor (GCF) of 5258,4913 By Common Division

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

Greatest Common Factor of 5258,4913 By Matching Biggest Common Factor Method

Now, list down the factors of 5258

1,2,11,22,239,478,2629,5258

Now, list down the factors of 4913

1,17,289,4913

Greatest Common Factor

We found the factors 5258,4913 . The biggest common factor number is the GCF number.
So the greatest common factor 5258,4913 is 1.

Lets's calculate LCM of 603,1102

Lowest Common Multiple of 603,1102 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 664506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/664506

Therefore, the GCF of Fractions 5258/603,4913/1102 is 1/664506

Least Common Multiple of 603,1102 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 603,1102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,1102) = 1

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

GCF(603,1102) x common factors =1 x 1 = 1

LCM(603,1102) = ( 603 × 1102 ) / 1

LCM(603,1102) = 664506 / 1

LCM(603,1102) = 664506

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FAQs on GCF of Fractions of 5258/603, 4913/1102

1. What is the HCF of 5258,4913?

The HCF of 5258,4913 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 5258/603, 4913/1102?

Answer: GCF of Numerators as per given numbers 5258/603, 4913/1102 is

GCF of Numerators i.e. for 5258,4913 is 1

LCM of denominators i.e. for 603,1102 is 664506.

Thus, GCF of Fractions is 1/664506.Finally, GCF of Fractions for 5258/603, 4913/1102 is 1/664506.