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GCF of 3358/242, 8093/313

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 3358/242, 8093/313 i.e 1/75746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3358/242, 8093/313.

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 3358/242,8093/313?

Given fractions are 3358/242,8093/313

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 3358/242,8093/313, numerators are 3358,8093

Denominators are 242,313

The GCF of 3358,8093 is 1 .

LCM of 242,313 is 75746.

The greatest common factor of 3358/242,8093/313 = [GCF of 3358,8093]/[LCM of 242,313]= 1/75746

Therefore, the GCF of 3358/242,8093/313 is 1/75746.

Greatest Common Factor of 3358,8093

To find the highest common factor of 3358,8093, we have to find the factors of both numbers and list the highest common factor.

The factors of 3358 are 1, 2, 23, 46, 73, 146, 1679, 3358

The factors of 8093 are 1, 8093

The HCF of 3358,8093 is 1.

Lets's calculate GCF of 3358,8093

Greatest Common Factor (GCF) of 3358,8093 By Common Division

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

Greatest Common Factor of 3358,8093 By Matching Biggest Common Factor Method

Greatest Common Factor of 3358,8093 By Matching Biggest Common Factor Method

Now, list down the factors of 3358

:

1,2,23,46,73,146,1679,3358

Now, list down the factors of 8093

:

1,8093

Greatest Common Factor

We found the factors 3358,8093 . The biggest common factor number is the GCF number.
So the greatest common factor 3358,8093 is 1.

Lets's calculate LCM of 242,313

Lowest Common Multiple of 242,313 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 75746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75746

Therefore, the GCF of Fractions 3358/242,8093/313 is 1/75746

Least Common Multiple of 242,313 with GCF Formula

Least Common Multiple of 242,313 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 242,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,313) = 1

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

GCF(242,313) x common factors =1 x 1 = 1

LCM(242,313) = ( 242 × 313 ) / 1

LCM(242,313) = 75746 / 1

LCM(242,313) = 75746


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FAQs on GCF of Fractions of 3358/242, 8093/313

1. What is the HCF of 3358,8093?

The HCF of 3358,8093 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 3358/242, 8093/313?

Answer: GCF of Numerators as per given numbers 3358/242, 8093/313 is

GCF of Numerators i.e. for 3358,8093 is 1

LCM of denominators i.e. for 242,313 is 75746.

Thus, GCF of Fractions is 1/75746.Finally, GCF of Fractions for 3358/242, 8093/313 is 1/75746.