How to Find GCF of 7793/799, 8377/7712?

GCF of 7793/799, 8377/7712

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 7793/799, 8377/7712 i.e 1/6161888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7793/799, 8377/7712.

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 7793/799,8377/7712?

Given fractions are 7793/799,8377/7712

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 7793/799,8377/7712, numerators are 7793,8377

Denominators are 799,7712

The GCF of 7793,8377 is 1 .

LCM of 799,7712 is 6161888.

The greatest common factor of 7793/799,8377/7712 = [GCF of 7793,8377]/[LCM of 799,7712]= 1/6161888

Therefore, the GCF of 7793/799,8377/7712 is 1/6161888.

Greatest Common Factor of 7793,8377

To find the highest common factor of 7793,8377, we have to find the factors of both numbers and list the highest common factor.

The factors of 7793 are 1, 7793

The factors of 8377 are 1, 8377

The HCF of 7793,8377 is 1.

Lets's calculate GCF of 7793,8377

Greatest Common Factor (GCF) of 7793,8377 By Common Division

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

Greatest Common Factor of 7793,8377 By Matching Biggest Common Factor Method

Now, list down the factors of 7793

1,7793

Now, list down the factors of 8377

1,8377

Greatest Common Factor

We found the factors 7793,8377 . The biggest common factor number is the GCF number.
So the greatest common factor 7793,8377 is 1.

Lets's calculate LCM of 799,7712

Lowest Common Multiple of 799,7712 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6161888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6161888

Therefore, the GCF of Fractions 7793/799,8377/7712 is 1/6161888

Least Common Multiple of 799,7712 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 799,7712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,7712) = 1

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

GCF(799,7712) x common factors =1 x 1 = 1

LCM(799,7712) = ( 799 × 7712 ) / 1

LCM(799,7712) = 6161888 / 1

LCM(799,7712) = 6161888

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FAQs on GCF of Fractions of 7793/799, 8377/7712

1. What is the HCF of 7793,8377?

The HCF of 7793,8377 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 7793/799, 8377/7712?

Answer: GCF of Numerators as per given numbers 7793/799, 8377/7712 is

GCF of Numerators i.e. for 7793,8377 is 1

LCM of denominators i.e. for 799,7712 is 6161888.

Thus, GCF of Fractions is 1/6161888.Finally, GCF of Fractions for 7793/799, 8377/7712 is 1/6161888.