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GCF of 8535/208, 2153/4290

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 8535/208, 2153/4290 i.e 1/34320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8535/208, 2153/4290.

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 8535/208,2153/4290?

Given fractions are 8535/208,2153/4290

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 8535/208,2153/4290, numerators are 8535,2153

Denominators are 208,4290

The GCF of 8535,2153 is 1 .

LCM of 208,4290 is 34320.

The greatest common factor of 8535/208,2153/4290 = [GCF of 8535,2153]/[LCM of 208,4290]= 1/34320

Therefore, the GCF of 8535/208,2153/4290 is 1/34320.

Greatest Common Factor of 8535,2153

To find the highest common factor of 8535,2153, we have to find the factors of both numbers and list the highest common factor.

The factors of 8535 are 1, 3, 5, 15, 569, 1707, 2845, 8535

The factors of 2153 are 1, 2153

The HCF of 8535,2153 is 1.

Lets's calculate GCF of 8535,2153

Greatest Common Factor (GCF) of 8535,2153 By Common Division

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

Greatest Common Factor of 8535,2153 By Matching Biggest Common Factor Method

Greatest Common Factor of 8535,2153 By Matching Biggest Common Factor Method

Now, list down the factors of 8535

:

1,3,5,15,569,1707,2845,8535

Now, list down the factors of 2153

:

1,2153

Greatest Common Factor

We found the factors 8535,2153 . The biggest common factor number is the GCF number.
So the greatest common factor 8535,2153 is 1.


Lets's calculate LCM of 208,4290

Lowest Common Multiple of 208,4290 using Common Division

2 208, 4290
13 104, 2145
8, 165

∴ So the LCM of the given numbers is 2 x 13 x 8 x 165 = 34320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34320

Therefore, the GCF of Fractions 8535/208,2153/4290 is 1/34320

Least Common Multiple of 208,4290 with GCF Formula

Least Common Multiple of 208,4290 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 208,4290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,4290) = 26

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

GCF(208,4290) x common factors =26 x 1 = 26

LCM(208,4290) = ( 208 × 4290 ) / 26

LCM(208,4290) = 892320 / 26

LCM(208,4290) = 34320


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8535/208, 2153/4290

1. What is the HCF of 8535,2153?

The HCF of 8535,2153 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 8535/208, 2153/4290?

Answer: GCF of Numerators as per given numbers 8535/208, 2153/4290 is

GCF of Numerators i.e. for 8535,2153 is 1

LCM of denominators i.e. for 208,4290 is 34320.

Thus, GCF of Fractions is 1/34320.Finally, GCF of Fractions for 8535/208, 2153/4290 is 1/34320.