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GCF of 3743/270, 7846/6035

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 3743/270, 7846/6035 i.e 1/325890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3743/270, 7846/6035.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3743/270,7846/6035?

Given fractions are 3743/270,7846/6035

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 3743/270,7846/6035, numerators are 3743,7846

Denominators are 270,6035

The GCF of 3743,7846 is 1 .

LCM of 270,6035 is 325890.

The greatest common factor of 3743/270,7846/6035 = [GCF of 3743,7846]/[LCM of 270,6035]= 1/325890

Therefore, the GCF of 3743/270,7846/6035 is 1/325890.

Greatest Common Factor of 3743,7846

To find the highest common factor of 3743,7846, we have to find the factors of both numbers and list the highest common factor.

The factors of 3743 are 1, 19, 197, 3743

The factors of 7846 are 1, 2, 3923, 7846

The HCF of 3743,7846 is 1.

Lets's calculate GCF of 3743,7846

Greatest Common Factor (GCF) of 3743,7846 By Common Division

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

Greatest Common Factor of 3743,7846 By Matching Biggest Common Factor Method

Greatest Common Factor of 3743,7846 By Matching Biggest Common Factor Method

Now, list down the factors of 3743

:

1,19,197,3743

Now, list down the factors of 7846

:

1,2,3923,7846

Greatest Common Factor

We found the factors 3743,7846 . The biggest common factor number is the GCF number.
So the greatest common factor 3743,7846 is 1.

Lets's calculate LCM of 270,6035

Lowest Common Multiple of 270,6035 using Common Division

5 270, 6035
54, 1207

∴ So the LCM of the given numbers is 5 x 54 x 1207 = 325890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325890

Therefore, the GCF of Fractions 3743/270,7846/6035 is 1/325890

Least Common Multiple of 270,6035 with GCF Formula

Least Common Multiple of 270,6035 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 270,6035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,6035) = 5

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

GCF(270,6035) x common factors =5 x 1 = 5

LCM(270,6035) = ( 270 × 6035 ) / 5

LCM(270,6035) = 1629450 / 5

LCM(270,6035) = 325890


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3743/270, 7846/6035

1. What is the HCF of 3743,7846?

The HCF of 3743,7846 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 3743/270, 7846/6035?

Answer: GCF of Numerators as per given numbers 3743/270, 7846/6035 is

GCF of Numerators i.e. for 3743,7846 is 1

LCM of denominators i.e. for 270,6035 is 325890.

Thus, GCF of Fractions is 1/325890.Finally, GCF of Fractions for 3743/270, 7846/6035 is 1/325890.