How to Find GCF of 3745/942, 1439/2891?

GCF of 3745/942, 1439/2891

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 3745/942, 1439/2891 i.e 1/2723322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3745/942, 1439/2891.

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 3745/942,1439/2891?

Given fractions are 3745/942,1439/2891

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 3745/942,1439/2891, numerators are 3745,1439

Denominators are 942,2891

The GCF of 3745,1439 is 1 .

LCM of 942,2891 is 2723322.

The greatest common factor of 3745/942,1439/2891 = [GCF of 3745,1439]/[LCM of 942,2891]= 1/2723322

Therefore, the GCF of 3745/942,1439/2891 is 1/2723322.

Greatest Common Factor of 3745,1439

To find the highest common factor of 3745,1439, we have to find the factors of both numbers and list the highest common factor.

The factors of 3745 are 1, 5, 7, 35, 107, 535, 749, 3745

The factors of 1439 are 1, 1439

The HCF of 3745,1439 is 1.

Lets's calculate GCF of 3745,1439

Greatest Common Factor (GCF) of 3745,1439 By Common Division

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

Greatest Common Factor of 3745,1439 By Matching Biggest Common Factor Method

Now, list down the factors of 3745

1,5,7,35,107,535,749,3745

Now, list down the factors of 1439

1,1439

Greatest Common Factor

We found the factors 3745,1439 . The biggest common factor number is the GCF number.
So the greatest common factor 3745,1439 is 1.

Lets's calculate LCM of 942,2891

Lowest Common Multiple of 942,2891 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2723322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2723322

Therefore, the GCF of Fractions 3745/942,1439/2891 is 1/2723322

Least Common Multiple of 942,2891 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 942,2891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,2891) = 1

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

GCF(942,2891) x common factors =1 x 1 = 1

LCM(942,2891) = ( 942 × 2891 ) / 1

LCM(942,2891) = 2723322 / 1

LCM(942,2891) = 2723322

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FAQs on GCF of Fractions of 3745/942, 1439/2891

1. What is the HCF of 3745,1439?

The HCF of 3745,1439 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 3745/942, 1439/2891?

Answer: GCF of Numerators as per given numbers 3745/942, 1439/2891 is

GCF of Numerators i.e. for 3745,1439 is 1

LCM of denominators i.e. for 942,2891 is 2723322.

Thus, GCF of Fractions is 1/2723322.Finally, GCF of Fractions for 3745/942, 1439/2891 is 1/2723322.