How to Find GCF of 8287/241, 4402/152?

GCF of 8287/241, 4402/152

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 8287/241, 4402/152 i.e 1/36632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8287/241, 4402/152.

Enter two or more fractions separated by "commas"

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

What is the GCF of 8287/241,4402/152?

Given fractions are 8287/241,4402/152

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 8287/241,4402/152, numerators are 8287,4402

Denominators are 241,152

The GCF of 8287,4402 is 1 .

LCM of 241,152 is 36632.

The greatest common factor of 8287/241,4402/152 = [GCF of 8287,4402]/[LCM of 241,152]= 1/36632

Therefore, the GCF of 8287/241,4402/152 is 1/36632.

Greatest Common Factor of 8287,4402

To find the highest common factor of 8287,4402, we have to find the factors of both numbers and list the highest common factor.

The factors of 8287 are 1, 8287

The factors of 4402 are 1, 2, 31, 62, 71, 142, 2201, 4402

The HCF of 8287,4402 is 1.

Lets's calculate GCF of 8287,4402

Greatest Common Factor (GCF) of 8287,4402 By Common Division

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

Greatest Common Factor of 8287,4402 By Matching Biggest Common Factor Method

Now, list down the factors of 8287

1,8287

Now, list down the factors of 4402

1,2,31,62,71,142,2201,4402

Greatest Common Factor

We found the factors 8287,4402 . The biggest common factor number is the GCF number.
So the greatest common factor 8287,4402 is 1.

Lets's calculate LCM of 241,152

Lowest Common Multiple of 241,152 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 36632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36632

Therefore, the GCF of Fractions 8287/241,4402/152 is 1/36632

Least Common Multiple of 241,152 with GCF Formula

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

We need to calculate greatest common factor of 241,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,152) = 1

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

GCF(241,152) x common factors =1 x 1 = 1

LCM(241,152) = ( 241 × 152 ) / 1

LCM(241,152) = 36632 / 1

LCM(241,152) = 36632

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FAQs on GCF of Fractions of 8287/241, 4402/152

1. What is the HCF of 8287,4402?

The HCF of 8287,4402 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 8287/241, 4402/152?

Answer: GCF of Numerators as per given numbers 8287/241, 4402/152 is

GCF of Numerators i.e. for 8287,4402 is 1

LCM of denominators i.e. for 241,152 is 36632.

Thus, GCF of Fractions is 1/36632.Finally, GCF of Fractions for 8287/241, 4402/152 is 1/36632.