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GCF of 741/40, 814/604

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 741/40, 814/604 i.e 1/6040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/40, 814/604.

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 741/40,814/604?

Given fractions are 741/40,814/604

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 741/40,814/604, numerators are 741,814

Denominators are 40,604

The GCF of 741,814 is 1 .

LCM of 40,604 is 6040.

The greatest common factor of 741/40,814/604 = [GCF of 741,814]/[LCM of 40,604]= 1/6040

Therefore, the GCF of 741/40,814/604 is 1/6040.

Greatest Common Factor of 741,814

To find the highest common factor of 741,814, we have to find the factors of both numbers and list the highest common factor.

The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741

The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814

The HCF of 741,814 is 1.

Lets's calculate GCF of 741,814

Greatest Common Factor (GCF) of 741,814 By Common Division

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

Greatest Common Factor of 741,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,814 By Matching Biggest Common Factor Method

Now, list down the factors of 741

:

1,3,13,19,39,57,247,741

Now, list down the factors of 814

:

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 741,814 . The biggest common factor number is the GCF number.
So the greatest common factor 741,814 is 1.

Lets's calculate LCM of 40,604

Lowest Common Multiple of 40,604 using Common Division

2 40, 604
2 20, 302
10, 151

∴ So the LCM of the given numbers is 2 x 2 x 10 x 151 = 6040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6040

Therefore, the GCF of Fractions 741/40,814/604 is 1/6040

Least Common Multiple of 40,604 with GCF Formula

Least Common Multiple of 40,604 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 40,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,604) = 4

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

GCF(40,604) x common factors =4 x 1 = 4

LCM(40,604) = ( 40 × 604 ) / 4

LCM(40,604) = 24160 / 4

LCM(40,604) = 6040


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FAQs on GCF of Fractions of 741/40, 814/604

1. What is the HCF of 741,814?

The HCF of 741,814 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 741/40, 814/604?

Answer: GCF of Numerators as per given numbers 741/40, 814/604 is

GCF of Numerators i.e. for 741,814 is 1

LCM of denominators i.e. for 40,604 is 6040.

Thus, GCF of Fractions is 1/6040.Finally, GCF of Fractions for 741/40, 814/604 is 1/6040.