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GCF of 3151/324, 8819/9367

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 3151/324, 8819/9367 i.e 1/3034908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3151/324, 8819/9367.

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 3151/324,8819/9367?

Given fractions are 3151/324,8819/9367

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 3151/324,8819/9367, numerators are 3151,8819

Denominators are 324,9367

The GCF of 3151,8819 is 1 .

LCM of 324,9367 is 3034908.

The greatest common factor of 3151/324,8819/9367 = [GCF of 3151,8819]/[LCM of 324,9367]= 1/3034908

Therefore, the GCF of 3151/324,8819/9367 is 1/3034908.

Greatest Common Factor of 3151,8819

To find the highest common factor of 3151,8819, we have to find the factors of both numbers and list the highest common factor.

The factors of 3151 are 1, 23, 137, 3151

The factors of 8819 are 1, 8819

The HCF of 3151,8819 is 1.

Lets's calculate GCF of 3151,8819

Greatest Common Factor (GCF) of 3151,8819 By Common Division

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

Greatest Common Factor of 3151,8819 By Matching Biggest Common Factor Method

Greatest Common Factor of 3151,8819 By Matching Biggest Common Factor Method

Now, list down the factors of 3151

:

1,23,137,3151

Now, list down the factors of 8819

:

1,8819

Greatest Common Factor

We found the factors 3151,8819 . The biggest common factor number is the GCF number.
So the greatest common factor 3151,8819 is 1.

Lets's calculate LCM of 324,9367

Lowest Common Multiple of 324,9367 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3034908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3034908

Therefore, the GCF of Fractions 3151/324,8819/9367 is 1/3034908

Least Common Multiple of 324,9367 with GCF Formula

Least Common Multiple of 324,9367 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 324,9367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,9367) = 1

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

GCF(324,9367) x common factors =1 x 1 = 1

LCM(324,9367) = ( 324 × 9367 ) / 1

LCM(324,9367) = 3034908 / 1

LCM(324,9367) = 3034908


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FAQs on GCF of Fractions of 3151/324, 8819/9367

1. What is the HCF of 3151,8819?

The HCF of 3151,8819 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 3151/324, 8819/9367?

Answer: GCF of Numerators as per given numbers 3151/324, 8819/9367 is

GCF of Numerators i.e. for 3151,8819 is 1

LCM of denominators i.e. for 324,9367 is 3034908.

Thus, GCF of Fractions is 1/3034908.Finally, GCF of Fractions for 3151/324, 8819/9367 is 1/3034908.