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GCF of 8329/308, 2777/9934

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 8329/308, 2777/9934 i.e 1/1529836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8329/308, 2777/9934.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8329/308,2777/9934?

Given fractions are 8329/308,2777/9934

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 8329/308,2777/9934, numerators are 8329,2777

Denominators are 308,9934

The GCF of 8329,2777 is 1 .

LCM of 308,9934 is 1529836.

The greatest common factor of 8329/308,2777/9934 = [GCF of 8329,2777]/[LCM of 308,9934]= 1/1529836

Therefore, the GCF of 8329/308,2777/9934 is 1/1529836.

Greatest Common Factor of 8329,2777

To find the highest common factor of 8329,2777, we have to find the factors of both numbers and list the highest common factor.

The factors of 8329 are 1, 8329

The factors of 2777 are 1, 2777

The HCF of 8329,2777 is 1.

Lets's calculate GCF of 8329,2777

Greatest Common Factor (GCF) of 8329,2777 By Common Division

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

Greatest Common Factor of 8329,2777 By Matching Biggest Common Factor Method

Greatest Common Factor of 8329,2777 By Matching Biggest Common Factor Method

Now, list down the factors of 8329

:

1,8329

Now, list down the factors of 2777

:

1,2777

Greatest Common Factor

We found the factors 8329,2777 . The biggest common factor number is the GCF number.
So the greatest common factor 8329,2777 is 1.

Lets's calculate LCM of 308,9934

Lowest Common Multiple of 308,9934 using Common Division

2 308, 9934
154, 4967

∴ So the LCM of the given numbers is 2 x 154 x 4967 = 1529836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1529836

Therefore, the GCF of Fractions 8329/308,2777/9934 is 1/1529836

Least Common Multiple of 308,9934 with GCF Formula

Least Common Multiple of 308,9934 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 308,9934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,9934) = 2

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

GCF(308,9934) x common factors =2 x 1 = 2

LCM(308,9934) = ( 308 × 9934 ) / 2

LCM(308,9934) = 3059672 / 2

LCM(308,9934) = 1529836


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FAQs on GCF of Fractions of 8329/308, 2777/9934

1. What is the HCF of 8329,2777?

The HCF of 8329,2777 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 8329/308, 2777/9934?

Answer: GCF of Numerators as per given numbers 8329/308, 2777/9934 is

GCF of Numerators i.e. for 8329,2777 is 1

LCM of denominators i.e. for 308,9934 is 1529836.

Thus, GCF of Fractions is 1/1529836.Finally, GCF of Fractions for 8329/308, 2777/9934 is 1/1529836.