How to Find GCF of 7407/405, 8344/1650?

GCF of 7407/405, 8344/1650

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 7407/405, 8344/1650 i.e 1/44550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7407/405, 8344/1650.

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 7407/405,8344/1650?

Given fractions are 7407/405,8344/1650

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 7407/405,8344/1650, numerators are 7407,8344

Denominators are 405,1650

The GCF of 7407,8344 is 1 .

LCM of 405,1650 is 44550.

The greatest common factor of 7407/405,8344/1650 = [GCF of 7407,8344]/[LCM of 405,1650]= 1/44550

Therefore, the GCF of 7407/405,8344/1650 is 1/44550.

Greatest Common Factor of 7407,8344

To find the highest common factor of 7407,8344, we have to find the factors of both numbers and list the highest common factor.

The factors of 7407 are 1, 3, 9, 823, 2469, 7407

The factors of 8344 are 1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344

The HCF of 7407,8344 is 1.

Lets's calculate GCF of 7407,8344

Greatest Common Factor (GCF) of 7407,8344 By Common Division

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

Greatest Common Factor of 7407,8344 By Matching Biggest Common Factor Method

Now, list down the factors of 7407

1,3,9,823,2469,7407

Now, list down the factors of 8344

1,2,4,7,8,14,28,56,149,298,596,1043,1192,2086,4172,8344

Greatest Common Factor

We found the factors 7407,8344 . The biggest common factor number is the GCF number.
So the greatest common factor 7407,8344 is 1.

Lets's calculate LCM of 405,1650

Lowest Common Multiple of 405,1650 using Common Division

3	405, 1650
5	135, 550
	27, 110

∴ So the LCM of the given numbers is 3 x 5 x 27 x 110 = 44550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44550

Therefore, the GCF of Fractions 7407/405,8344/1650 is 1/44550

Least Common Multiple of 405,1650 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 405,1650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,1650) = 15

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

GCF(405,1650) x common factors =15 x 1 = 15

LCM(405,1650) = ( 405 × 1650 ) / 15

LCM(405,1650) = 668250 / 15

LCM(405,1650) = 44550

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FAQs on GCF of Fractions of 7407/405, 8344/1650

1. What is the HCF of 7407,8344?

The HCF of 7407,8344 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 7407/405, 8344/1650?

Answer: GCF of Numerators as per given numbers 7407/405, 8344/1650 is

GCF of Numerators i.e. for 7407,8344 is 1

LCM of denominators i.e. for 405,1650 is 44550.

Thus, GCF of Fractions is 1/44550.Finally, GCF of Fractions for 7407/405, 8344/1650 is 1/44550.