How to Find GCF of 8490/736, 8323/552?

GCF of 8490/736, 8323/552

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 8490/736, 8323/552 i.e 1/2208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8490/736, 8323/552.

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 8490/736,8323/552?

Given fractions are 8490/736,8323/552

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 8490/736,8323/552, numerators are 8490,8323

Denominators are 736,552

The GCF of 8490,8323 is 1 .

LCM of 736,552 is 2208.

The greatest common factor of 8490/736,8323/552 = [GCF of 8490,8323]/[LCM of 736,552]= 1/2208

Therefore, the GCF of 8490/736,8323/552 is 1/2208.

Greatest Common Factor of 8490,8323

To find the highest common factor of 8490,8323, we have to find the factors of both numbers and list the highest common factor.

The factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490

The factors of 8323 are 1, 7, 29, 41, 203, 287, 1189, 8323

The HCF of 8490,8323 is 1.

Lets's calculate GCF of 8490,8323

Greatest Common Factor (GCF) of 8490,8323 By Common Division

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

Greatest Common Factor of 8490,8323 By Matching Biggest Common Factor Method

Now, list down the factors of 8490

1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490

Now, list down the factors of 8323

1,7,29,41,203,287,1189,8323

Greatest Common Factor

We found the factors 8490,8323 . The biggest common factor number is the GCF number.
So the greatest common factor 8490,8323 is 1.

Lets's calculate LCM of 736,552

Lowest Common Multiple of 736,552 using Common Division

2	736, 552
2	368, 276
2	184, 138
23	92, 69
	4, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 4 x 3 = 2208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2208

Therefore, the GCF of Fractions 8490/736,8323/552 is 1/2208

Least Common Multiple of 736,552 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 736,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,552) = 184

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

GCF(736,552) x common factors =184 x 1 = 184

LCM(736,552) = ( 736 × 552 ) / 184

LCM(736,552) = 406272 / 184

LCM(736,552) = 2208

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8490/736, 8323/552

1. What is the HCF of 8490,8323?

The HCF of 8490,8323 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 8490/736, 8323/552?

Answer: GCF of Numerators as per given numbers 8490/736, 8323/552 is

GCF of Numerators i.e. for 8490,8323 is 1

LCM of denominators i.e. for 736,552 is 2208.

Thus, GCF of Fractions is 1/2208.Finally, GCF of Fractions for 8490/736, 8323/552 is 1/2208.