How to Find GCF of 5959/253, 7218/9426?

GCF of 5959/253, 7218/9426

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 5959/253, 7218/9426 i.e 1/2384778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5959/253, 7218/9426.

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 5959/253,7218/9426?

Given fractions are 5959/253,7218/9426

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 5959/253,7218/9426, numerators are 5959,7218

Denominators are 253,9426

The GCF of 5959,7218 is 1 .

LCM of 253,9426 is 2384778.

The greatest common factor of 5959/253,7218/9426 = [GCF of 5959,7218]/[LCM of 253,9426]= 1/2384778

Therefore, the GCF of 5959/253,7218/9426 is 1/2384778.

Greatest Common Factor of 5959,7218

To find the highest common factor of 5959,7218, we have to find the factors of both numbers and list the highest common factor.

The factors of 5959 are 1, 59, 101, 5959

The factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218

The HCF of 5959,7218 is 1.

Lets's calculate GCF of 5959,7218

Greatest Common Factor (GCF) of 5959,7218 By Common Division

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

Greatest Common Factor of 5959,7218 By Matching Biggest Common Factor Method

Now, list down the factors of 5959

1,59,101,5959

Now, list down the factors of 7218

1,2,3,6,9,18,401,802,1203,2406,3609,7218

Greatest Common Factor

We found the factors 5959,7218 . The biggest common factor number is the GCF number.
So the greatest common factor 5959,7218 is 1.

Lets's calculate LCM of 253,9426

Lowest Common Multiple of 253,9426 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2384778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2384778

Therefore, the GCF of Fractions 5959/253,7218/9426 is 1/2384778

Least Common Multiple of 253,9426 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 253,9426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,9426) = 1

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

GCF(253,9426) x common factors =1 x 1 = 1

LCM(253,9426) = ( 253 × 9426 ) / 1

LCM(253,9426) = 2384778 / 1

LCM(253,9426) = 2384778

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FAQs on GCF of Fractions of 5959/253, 7218/9426

1. What is the HCF of 5959,7218?

The HCF of 5959,7218 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 5959/253, 7218/9426?

Answer: GCF of Numerators as per given numbers 5959/253, 7218/9426 is

GCF of Numerators i.e. for 5959,7218 is 1

LCM of denominators i.e. for 253,9426 is 2384778.

Thus, GCF of Fractions is 1/2384778.Finally, GCF of Fractions for 5959/253, 7218/9426 is 1/2384778.