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GCF of 8653/883, 3413/365

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 8653/883, 3413/365 i.e 1/322295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8653/883, 3413/365.

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 8653/883,3413/365?

Given fractions are 8653/883,3413/365

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 8653/883,3413/365, numerators are 8653,3413

Denominators are 883,365

The GCF of 8653,3413 is 1 .

LCM of 883,365 is 322295.

The greatest common factor of 8653/883,3413/365 = [GCF of 8653,3413]/[LCM of 883,365]= 1/322295

Therefore, the GCF of 8653/883,3413/365 is 1/322295.

Greatest Common Factor of 8653,3413

To find the highest common factor of 8653,3413, we have to find the factors of both numbers and list the highest common factor.

The factors of 8653 are 1, 17, 509, 8653

The factors of 3413 are 1, 3413

The HCF of 8653,3413 is 1.

Lets's calculate GCF of 8653,3413

Greatest Common Factor (GCF) of 8653,3413 By Common Division

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

Greatest Common Factor of 8653,3413 By Matching Biggest Common Factor Method

Greatest Common Factor of 8653,3413 By Matching Biggest Common Factor Method

Now, list down the factors of 8653

:

1,17,509,8653

Now, list down the factors of 3413

:

1,3413

Greatest Common Factor

We found the factors 8653,3413 . The biggest common factor number is the GCF number.
So the greatest common factor 8653,3413 is 1.

Lets's calculate LCM of 883,365

Lowest Common Multiple of 883,365 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 322295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/322295

Therefore, the GCF of Fractions 8653/883,3413/365 is 1/322295

Least Common Multiple of 883,365 with GCF Formula

Least Common Multiple of 883,365 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 883,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(883,365) = 1

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

GCF(883,365) x common factors =1 x 1 = 1

LCM(883,365) = ( 883 × 365 ) / 1

LCM(883,365) = 322295 / 1

LCM(883,365) = 322295


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FAQs on GCF of Fractions of 8653/883, 3413/365

1. What is the HCF of 8653,3413?

The HCF of 8653,3413 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 8653/883, 3413/365?

Answer: GCF of Numerators as per given numbers 8653/883, 3413/365 is

GCF of Numerators i.e. for 8653,3413 is 1

LCM of denominators i.e. for 883,365 is 322295.

Thus, GCF of Fractions is 1/322295.Finally, GCF of Fractions for 8653/883, 3413/365 is 1/322295.