How to Find GCF of 7736/339, 8599/7795?

GCF of 7736/339, 8599/7795

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 7736/339, 8599/7795 i.e 1/2642505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7736/339, 8599/7795.

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 7736/339,8599/7795?

Given fractions are 7736/339,8599/7795

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 7736/339,8599/7795, numerators are 7736,8599

Denominators are 339,7795

The GCF of 7736,8599 is 1 .

LCM of 339,7795 is 2642505.

The greatest common factor of 7736/339,8599/7795 = [GCF of 7736,8599]/[LCM of 339,7795]= 1/2642505

Therefore, the GCF of 7736/339,8599/7795 is 1/2642505.

Greatest Common Factor of 7736,8599

To find the highest common factor of 7736,8599, we have to find the factors of both numbers and list the highest common factor.

The factors of 7736 are 1, 2, 4, 8, 967, 1934, 3868, 7736

The factors of 8599 are 1, 8599

The HCF of 7736,8599 is 1.

Lets's calculate GCF of 7736,8599

Greatest Common Factor (GCF) of 7736,8599 By Common Division

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

Greatest Common Factor of 7736,8599 By Matching Biggest Common Factor Method

Now, list down the factors of 7736

1,2,4,8,967,1934,3868,7736

Now, list down the factors of 8599

1,8599

Greatest Common Factor

We found the factors 7736,8599 . The biggest common factor number is the GCF number.
So the greatest common factor 7736,8599 is 1.

Lets's calculate LCM of 339,7795

Lowest Common Multiple of 339,7795 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2642505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2642505

Therefore, the GCF of Fractions 7736/339,8599/7795 is 1/2642505

Least Common Multiple of 339,7795 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 339,7795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,7795) = 1

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

GCF(339,7795) x common factors =1 x 1 = 1

LCM(339,7795) = ( 339 × 7795 ) / 1

LCM(339,7795) = 2642505 / 1

LCM(339,7795) = 2642505

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FAQs on GCF of Fractions of 7736/339, 8599/7795

1. What is the HCF of 7736,8599?

The HCF of 7736,8599 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 7736/339, 8599/7795?

Answer: GCF of Numerators as per given numbers 7736/339, 8599/7795 is

GCF of Numerators i.e. for 7736,8599 is 1

LCM of denominators i.e. for 339,7795 is 2642505.

Thus, GCF of Fractions is 1/2642505.Finally, GCF of Fractions for 7736/339, 8599/7795 is 1/2642505.