How to Find GCF of 7171/938, 3702/4238?

GCF of 7171/938, 3702/4238

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 7171/938, 3702/4238 i.e 1/1987622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7171/938, 3702/4238.

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 7171/938,3702/4238?

Given fractions are 7171/938,3702/4238

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 7171/938,3702/4238, numerators are 7171,3702

Denominators are 938,4238

The GCF of 7171,3702 is 1 .

LCM of 938,4238 is 1987622.

The greatest common factor of 7171/938,3702/4238 = [GCF of 7171,3702]/[LCM of 938,4238]= 1/1987622

Therefore, the GCF of 7171/938,3702/4238 is 1/1987622.

Greatest Common Factor of 7171,3702

To find the highest common factor of 7171,3702, we have to find the factors of both numbers and list the highest common factor.

The factors of 7171 are 1, 71, 101, 7171

The factors of 3702 are 1, 2, 3, 6, 617, 1234, 1851, 3702

The HCF of 7171,3702 is 1.

Lets's calculate GCF of 7171,3702

Greatest Common Factor (GCF) of 7171,3702 By Common Division

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

Greatest Common Factor of 7171,3702 By Matching Biggest Common Factor Method

Now, list down the factors of 7171

1,71,101,7171

Now, list down the factors of 3702

1,2,3,6,617,1234,1851,3702

Greatest Common Factor

We found the factors 7171,3702 . The biggest common factor number is the GCF number.
So the greatest common factor 7171,3702 is 1.

Lets's calculate LCM of 938,4238

Lowest Common Multiple of 938,4238 using Common Division

2	938, 4238
	469, 2119

∴ So the LCM of the given numbers is 2 x 469 x 2119 = 1987622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1987622

Therefore, the GCF of Fractions 7171/938,3702/4238 is 1/1987622

Least Common Multiple of 938,4238 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 938,4238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,4238) = 2

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

GCF(938,4238) x common factors =2 x 1 = 2

LCM(938,4238) = ( 938 × 4238 ) / 2

LCM(938,4238) = 3975244 / 2

LCM(938,4238) = 1987622

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FAQs on GCF of Fractions of 7171/938, 3702/4238

1. What is the HCF of 7171,3702?

The HCF of 7171,3702 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 7171/938, 3702/4238?

Answer: GCF of Numerators as per given numbers 7171/938, 3702/4238 is

GCF of Numerators i.e. for 7171,3702 is 1

LCM of denominators i.e. for 938,4238 is 1987622.

Thus, GCF of Fractions is 1/1987622.Finally, GCF of Fractions for 7171/938, 3702/4238 is 1/1987622.