How to Find GCF of 1375/381, 3739/7142?

GCF of 1375/381, 3739/7142

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 1375/381, 3739/7142 i.e 1/2721102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1375/381, 3739/7142.

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 1375/381,3739/7142?

Given fractions are 1375/381,3739/7142

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 1375/381,3739/7142, numerators are 1375,3739

Denominators are 381,7142

The GCF of 1375,3739 is 1 .

LCM of 381,7142 is 2721102.

The greatest common factor of 1375/381,3739/7142 = [GCF of 1375,3739]/[LCM of 381,7142]= 1/2721102

Therefore, the GCF of 1375/381,3739/7142 is 1/2721102.

Greatest Common Factor of 1375,3739

To find the highest common factor of 1375,3739, we have to find the factors of both numbers and list the highest common factor.

The factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375

The factors of 3739 are 1, 3739

The HCF of 1375,3739 is 1.

Lets's calculate GCF of 1375,3739

Greatest Common Factor (GCF) of 1375,3739 By Common Division

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

Greatest Common Factor of 1375,3739 By Matching Biggest Common Factor Method

Now, list down the factors of 1375

1,5,11,25,55,125,275,1375

Now, list down the factors of 3739

1,3739

Greatest Common Factor

We found the factors 1375,3739 . The biggest common factor number is the GCF number.
So the greatest common factor 1375,3739 is 1.

Lets's calculate LCM of 381,7142

Lowest Common Multiple of 381,7142 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2721102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2721102

Therefore, the GCF of Fractions 1375/381,3739/7142 is 1/2721102

Least Common Multiple of 381,7142 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 381,7142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,7142) = 1

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

GCF(381,7142) x common factors =1 x 1 = 1

LCM(381,7142) = ( 381 × 7142 ) / 1

LCM(381,7142) = 2721102 / 1

LCM(381,7142) = 2721102

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FAQs on GCF of Fractions of 1375/381, 3739/7142

1. What is the HCF of 1375,3739?

The HCF of 1375,3739 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 1375/381, 3739/7142?

Answer: GCF of Numerators as per given numbers 1375/381, 3739/7142 is

GCF of Numerators i.e. for 1375,3739 is 1

LCM of denominators i.e. for 381,7142 is 2721102.

Thus, GCF of Fractions is 1/2721102.Finally, GCF of Fractions for 1375/381, 3739/7142 is 1/2721102.