How to Find GCF of 3947/173, 3881/502?

GCF of 3947/173, 3881/502

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 3947/173, 3881/502 i.e 1/86846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3947/173, 3881/502.

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 3947/173,3881/502?

Given fractions are 3947/173,3881/502

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 3947/173,3881/502, numerators are 3947,3881

Denominators are 173,502

The GCF of 3947,3881 is 1 .

LCM of 173,502 is 86846.

The greatest common factor of 3947/173,3881/502 = [GCF of 3947,3881]/[LCM of 173,502]= 1/86846

Therefore, the GCF of 3947/173,3881/502 is 1/86846.

Greatest Common Factor of 3947,3881

To find the highest common factor of 3947,3881, we have to find the factors of both numbers and list the highest common factor.

The factors of 3947 are 1, 3947

The factors of 3881 are 1, 3881

The HCF of 3947,3881 is 1.

Lets's calculate GCF of 3947,3881

Greatest Common Factor (GCF) of 3947,3881 By Common Division

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

Greatest Common Factor of 3947,3881 By Matching Biggest Common Factor Method

Now, list down the factors of 3947

1,3947

Now, list down the factors of 3881

1,3881

Greatest Common Factor

We found the factors 3947,3881 . The biggest common factor number is the GCF number.
So the greatest common factor 3947,3881 is 1.

Lets's calculate LCM of 173,502

Lowest Common Multiple of 173,502 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 86846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86846

Therefore, the GCF of Fractions 3947/173,3881/502 is 1/86846

Least Common Multiple of 173,502 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 173,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,502) = 1

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

GCF(173,502) x common factors =1 x 1 = 1

LCM(173,502) = ( 173 × 502 ) / 1

LCM(173,502) = 86846 / 1

LCM(173,502) = 86846

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FAQs on GCF of Fractions of 3947/173, 3881/502

1. What is the HCF of 3947,3881?

The HCF of 3947,3881 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 3947/173, 3881/502?

Answer: GCF of Numerators as per given numbers 3947/173, 3881/502 is

GCF of Numerators i.e. for 3947,3881 is 1

LCM of denominators i.e. for 173,502 is 86846.

Thus, GCF of Fractions is 1/86846.Finally, GCF of Fractions for 3947/173, 3881/502 is 1/86846.