How to Find GCF of 7431/687, 2240/6466?

GCF of 7431/687, 2240/6466

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 7431/687, 2240/6466 i.e 1/4442142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7431/687, 2240/6466.

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 7431/687,2240/6466?

Given fractions are 7431/687,2240/6466

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 7431/687,2240/6466, numerators are 7431,2240

Denominators are 687,6466

The GCF of 7431,2240 is 1 .

LCM of 687,6466 is 4442142.

The greatest common factor of 7431/687,2240/6466 = [GCF of 7431,2240]/[LCM of 687,6466]= 1/4442142

Therefore, the GCF of 7431/687,2240/6466 is 1/4442142.

Greatest Common Factor of 7431,2240

To find the highest common factor of 7431,2240, we have to find the factors of both numbers and list the highest common factor.

The factors of 7431 are 1, 3, 2477, 7431

The factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240

The HCF of 7431,2240 is 1.

Lets's calculate GCF of 7431,2240

Greatest Common Factor (GCF) of 7431,2240 By Common Division

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

Greatest Common Factor of 7431,2240 By Matching Biggest Common Factor Method

Now, list down the factors of 7431

1,3,2477,7431

Now, list down the factors of 2240

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,140,160,224,280,320,448,560,1120,2240

Greatest Common Factor

We found the factors 7431,2240 . The biggest common factor number is the GCF number.
So the greatest common factor 7431,2240 is 1.

Lets's calculate LCM of 687,6466

Lowest Common Multiple of 687,6466 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4442142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4442142

Therefore, the GCF of Fractions 7431/687,2240/6466 is 1/4442142

Least Common Multiple of 687,6466 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 687,6466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,6466) = 1

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

GCF(687,6466) x common factors =1 x 1 = 1

LCM(687,6466) = ( 687 × 6466 ) / 1

LCM(687,6466) = 4442142 / 1

LCM(687,6466) = 4442142

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FAQs on GCF of Fractions of 7431/687, 2240/6466

1. What is the HCF of 7431,2240?

The HCF of 7431,2240 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 7431/687, 2240/6466?

Answer: GCF of Numerators as per given numbers 7431/687, 2240/6466 is

GCF of Numerators i.e. for 7431,2240 is 1

LCM of denominators i.e. for 687,6466 is 4442142.

Thus, GCF of Fractions is 1/4442142.Finally, GCF of Fractions for 7431/687, 2240/6466 is 1/4442142.