How to Find GCF of 3158/216, 5728/8065?

GCF of 3158/216, 5728/8065

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 3158/216, 5728/8065 i.e 2/1742040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3158/216, 5728/8065.

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 3158/216,5728/8065?

Given fractions are 3158/216,5728/8065

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 3158/216,5728/8065, numerators are 3158,5728

Denominators are 216,8065

The GCF of 3158,5728 is 2 .

LCM of 216,8065 is 1742040.

The greatest common factor of 3158/216,5728/8065 = [GCF of 3158,5728]/[LCM of 216,8065]= 2/1742040

Therefore, the GCF of 3158/216,5728/8065 is 2/1742040.

Greatest Common Factor of 3158,5728

To find the highest common factor of 3158,5728, we have to find the factors of both numbers and list the highest common factor.

The factors of 3158 are 1, 2, 1579, 3158

The factors of 5728 are 1, 2, 4, 8, 16, 32, 179, 358, 716, 1432, 2864, 5728

The HCF of 3158,5728 is 2.

Lets's calculate GCF of 3158,5728

Greatest Common Factor (GCF) of 3158,5728 By Common Division

2	3158, 5728
	1579, 2864

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3158,5728 By Matching Biggest Common Factor Method

Now, list down the factors of 3158

1,2,1579,3158

Now, list down the factors of 5728

1,2,4,8,16,32,179,358,716,1432,2864,5728

Greatest Common Factor

We found the factors 3158,5728 . The biggest common factor number is the GCF number.
So the greatest common factor 3158,5728 is 2.

Lets's calculate LCM of 216,8065

Lowest Common Multiple of 216,8065 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1742040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1742040

Therefore, the GCF of Fractions 3158/216,5728/8065 is 2/1742040

Least Common Multiple of 216,8065 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 216,8065 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,8065) = 1

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

GCF(216,8065) x common factors =1 x 1 = 1

LCM(216,8065) = ( 216 × 8065 ) / 1

LCM(216,8065) = 1742040 / 1

LCM(216,8065) = 1742040

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3158/216, 5728/8065

1. What is the HCF of 3158,5728?

The HCF of 3158,5728 is 2

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 3158/216, 5728/8065?

Answer: GCF of Numerators as per given numbers 3158/216, 5728/8065 is

GCF of Numerators i.e. for 3158,5728 is 2

LCM of denominators i.e. for 216,8065 is 1742040.

Thus, GCF of Fractions is 2/1742040.Finally, GCF of Fractions for 3158/216, 5728/8065 is 2/1742040.