How to Find GCF of 2408/990, 7723/1318?

GCF of 2408/990, 7723/1318

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 2408/990, 7723/1318 i.e 1/652410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2408/990, 7723/1318.

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 2408/990,7723/1318?

Given fractions are 2408/990,7723/1318

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 2408/990,7723/1318, numerators are 2408,7723

Denominators are 990,1318

The GCF of 2408,7723 is 1 .

LCM of 990,1318 is 652410.

The greatest common factor of 2408/990,7723/1318 = [GCF of 2408,7723]/[LCM of 990,1318]= 1/652410

Therefore, the GCF of 2408/990,7723/1318 is 1/652410.

Greatest Common Factor of 2408,7723

To find the highest common factor of 2408,7723, we have to find the factors of both numbers and list the highest common factor.

The factors of 2408 are 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408

The factors of 7723 are 1, 7723

The HCF of 2408,7723 is 1.

Lets's calculate GCF of 2408,7723

Greatest Common Factor (GCF) of 2408,7723 By Common Division

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

Greatest Common Factor of 2408,7723 By Matching Biggest Common Factor Method

Now, list down the factors of 2408

1,2,4,7,8,14,28,43,56,86,172,301,344,602,1204,2408

Now, list down the factors of 7723

1,7723

Greatest Common Factor

We found the factors 2408,7723 . The biggest common factor number is the GCF number.
So the greatest common factor 2408,7723 is 1.

Lets's calculate LCM of 990,1318

Lowest Common Multiple of 990,1318 using Common Division

2	990, 1318
	495, 659

∴ So the LCM of the given numbers is 2 x 495 x 659 = 652410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/652410

Therefore, the GCF of Fractions 2408/990,7723/1318 is 1/652410

Least Common Multiple of 990,1318 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 990,1318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,1318) = 2

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

GCF(990,1318) x common factors =2 x 1 = 2

LCM(990,1318) = ( 990 × 1318 ) / 2

LCM(990,1318) = 1304820 / 2

LCM(990,1318) = 652410

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FAQs on GCF of Fractions of 2408/990, 7723/1318

1. What is the HCF of 2408,7723?

The HCF of 2408,7723 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 2408/990, 7723/1318?

Answer: GCF of Numerators as per given numbers 2408/990, 7723/1318 is

GCF of Numerators i.e. for 2408,7723 is 1

LCM of denominators i.e. for 990,1318 is 652410.

Thus, GCF of Fractions is 1/652410.Finally, GCF of Fractions for 2408/990, 7723/1318 is 1/652410.