How to Find GCF of 5035/200, 3161/1241?

GCF of 5035/200, 3161/1241

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 5035/200, 3161/1241 i.e 1/248200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5035/200, 3161/1241.

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 5035/200,3161/1241?

Given fractions are 5035/200,3161/1241

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 5035/200,3161/1241, numerators are 5035,3161

Denominators are 200,1241

The GCF of 5035,3161 is 1 .

LCM of 200,1241 is 248200.

The greatest common factor of 5035/200,3161/1241 = [GCF of 5035,3161]/[LCM of 200,1241]= 1/248200

Therefore, the GCF of 5035/200,3161/1241 is 1/248200.

Greatest Common Factor of 5035,3161

To find the highest common factor of 5035,3161, we have to find the factors of both numbers and list the highest common factor.

The factors of 5035 are 1, 5, 19, 53, 95, 265, 1007, 5035

The factors of 3161 are 1, 29, 109, 3161

The HCF of 5035,3161 is 1.

Lets's calculate GCF of 5035,3161

Greatest Common Factor (GCF) of 5035,3161 By Common Division

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

Greatest Common Factor of 5035,3161 By Matching Biggest Common Factor Method

Now, list down the factors of 5035

1,5,19,53,95,265,1007,5035

Now, list down the factors of 3161

1,29,109,3161

Greatest Common Factor

We found the factors 5035,3161 . The biggest common factor number is the GCF number.
So the greatest common factor 5035,3161 is 1.

Lets's calculate LCM of 200,1241

Lowest Common Multiple of 200,1241 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 248200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248200

Therefore, the GCF of Fractions 5035/200,3161/1241 is 1/248200

Least Common Multiple of 200,1241 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 200,1241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,1241) = 1

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

GCF(200,1241) x common factors =1 x 1 = 1

LCM(200,1241) = ( 200 × 1241 ) / 1

LCM(200,1241) = 248200 / 1

LCM(200,1241) = 248200

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FAQs on GCF of Fractions of 5035/200, 3161/1241

1. What is the HCF of 5035,3161?

The HCF of 5035,3161 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 5035/200, 3161/1241?

Answer: GCF of Numerators as per given numbers 5035/200, 3161/1241 is

GCF of Numerators i.e. for 5035,3161 is 1

LCM of denominators i.e. for 200,1241 is 248200.

Thus, GCF of Fractions is 1/248200.Finally, GCF of Fractions for 5035/200, 3161/1241 is 1/248200.