How to Find GCF of 7327/242, 1233/3951?

GCF of 7327/242, 1233/3951

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 7327/242, 1233/3951 i.e 1/956142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7327/242, 1233/3951.

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 7327/242,1233/3951?

Given fractions are 7327/242,1233/3951

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 7327/242,1233/3951, numerators are 7327,1233

Denominators are 242,3951

The GCF of 7327,1233 is 1 .

LCM of 242,3951 is 956142.

The greatest common factor of 7327/242,1233/3951 = [GCF of 7327,1233]/[LCM of 242,3951]= 1/956142

Therefore, the GCF of 7327/242,1233/3951 is 1/956142.

Greatest Common Factor of 7327,1233

To find the highest common factor of 7327,1233, we have to find the factors of both numbers and list the highest common factor.

The factors of 7327 are 1, 17, 431, 7327

The factors of 1233 are 1, 3, 9, 137, 411, 1233

The HCF of 7327,1233 is 1.

Lets's calculate GCF of 7327,1233

Greatest Common Factor (GCF) of 7327,1233 By Common Division

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

Greatest Common Factor of 7327,1233 By Matching Biggest Common Factor Method

Now, list down the factors of 7327

1,17,431,7327

Now, list down the factors of 1233

1,3,9,137,411,1233

Greatest Common Factor

We found the factors 7327,1233 . The biggest common factor number is the GCF number.
So the greatest common factor 7327,1233 is 1.

Lets's calculate LCM of 242,3951

Lowest Common Multiple of 242,3951 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 956142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/956142

Therefore, the GCF of Fractions 7327/242,1233/3951 is 1/956142

Least Common Multiple of 242,3951 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 242,3951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,3951) = 1

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

GCF(242,3951) x common factors =1 x 1 = 1

LCM(242,3951) = ( 242 × 3951 ) / 1

LCM(242,3951) = 956142 / 1

LCM(242,3951) = 956142

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FAQs on GCF of Fractions of 7327/242, 1233/3951

1. What is the HCF of 7327,1233?

The HCF of 7327,1233 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 7327/242, 1233/3951?

Answer: GCF of Numerators as per given numbers 7327/242, 1233/3951 is

GCF of Numerators i.e. for 7327,1233 is 1

LCM of denominators i.e. for 242,3951 is 956142.

Thus, GCF of Fractions is 1/956142.Finally, GCF of Fractions for 7327/242, 1233/3951 is 1/956142.