How to Find GCF of 8183/213, 3758/5468?

GCF of 8183/213, 3758/5468

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 8183/213, 3758/5468 i.e 1/1164684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8183/213, 3758/5468.

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 8183/213,3758/5468?

Given fractions are 8183/213,3758/5468

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 8183/213,3758/5468, numerators are 8183,3758

Denominators are 213,5468

The GCF of 8183,3758 is 1 .

LCM of 213,5468 is 1164684.

The greatest common factor of 8183/213,3758/5468 = [GCF of 8183,3758]/[LCM of 213,5468]= 1/1164684

Therefore, the GCF of 8183/213,3758/5468 is 1/1164684.

Greatest Common Factor of 8183,3758

To find the highest common factor of 8183,3758, we have to find the factors of both numbers and list the highest common factor.

The factors of 8183 are 1, 7, 49, 167, 1169, 8183

The factors of 3758 are 1, 2, 1879, 3758

The HCF of 8183,3758 is 1.

Lets's calculate GCF of 8183,3758

Greatest Common Factor (GCF) of 8183,3758 By Common Division

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

Greatest Common Factor of 8183,3758 By Matching Biggest Common Factor Method

Now, list down the factors of 8183

1,7,49,167,1169,8183

Now, list down the factors of 3758

1,2,1879,3758

Greatest Common Factor

We found the factors 8183,3758 . The biggest common factor number is the GCF number.
So the greatest common factor 8183,3758 is 1.

Lets's calculate LCM of 213,5468

Lowest Common Multiple of 213,5468 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1164684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1164684

Therefore, the GCF of Fractions 8183/213,3758/5468 is 1/1164684

Least Common Multiple of 213,5468 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 213,5468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,5468) = 1

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

GCF(213,5468) x common factors =1 x 1 = 1

LCM(213,5468) = ( 213 × 5468 ) / 1

LCM(213,5468) = 1164684 / 1

LCM(213,5468) = 1164684

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FAQs on GCF of Fractions of 8183/213, 3758/5468

1. What is the HCF of 8183,3758?

The HCF of 8183,3758 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 8183/213, 3758/5468?

Answer: GCF of Numerators as per given numbers 8183/213, 3758/5468 is

GCF of Numerators i.e. for 8183,3758 is 1

LCM of denominators i.e. for 213,5468 is 1164684.

Thus, GCF of Fractions is 1/1164684.Finally, GCF of Fractions for 8183/213, 3758/5468 is 1/1164684.