How to Find GCF of 8518/904, 7630/9455?

GCF of 8518/904, 7630/9455

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 8518/904, 7630/9455 i.e 2/8547320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8518/904, 7630/9455.

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 8518/904,7630/9455?

Given fractions are 8518/904,7630/9455

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 8518/904,7630/9455, numerators are 8518,7630

Denominators are 904,9455

The GCF of 8518,7630 is 2 .

LCM of 904,9455 is 8547320.

The greatest common factor of 8518/904,7630/9455 = [GCF of 8518,7630]/[LCM of 904,9455]= 2/8547320

Therefore, the GCF of 8518/904,7630/9455 is 2/8547320.

Greatest Common Factor of 8518,7630

To find the highest common factor of 8518,7630, we have to find the factors of both numbers and list the highest common factor.

The factors of 8518 are 1, 2, 4259, 8518

The factors of 7630 are 1, 2, 5, 7, 10, 14, 35, 70, 109, 218, 545, 763, 1090, 1526, 3815, 7630

The HCF of 8518,7630 is 2.

Lets's calculate GCF of 8518,7630

Greatest Common Factor (GCF) of 8518,7630 By Common Division

2	8518, 7630
	4259, 3815

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8518,7630 By Matching Biggest Common Factor Method

Now, list down the factors of 8518

1,2,4259,8518

Now, list down the factors of 7630

1,2,5,7,10,14,35,70,109,218,545,763,1090,1526,3815,7630

Greatest Common Factor

We found the factors 8518,7630 . The biggest common factor number is the GCF number.
So the greatest common factor 8518,7630 is 2.

Lets's calculate LCM of 904,9455

Lowest Common Multiple of 904,9455 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8547320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8547320

Therefore, the GCF of Fractions 8518/904,7630/9455 is 2/8547320

Least Common Multiple of 904,9455 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 904,9455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,9455) = 1

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

GCF(904,9455) x common factors =1 x 1 = 1

LCM(904,9455) = ( 904 × 9455 ) / 1

LCM(904,9455) = 8547320 / 1

LCM(904,9455) = 8547320

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8518/904, 7630/9455

1. What is the HCF of 8518,7630?

The HCF of 8518,7630 is 2

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 8518/904, 7630/9455?

Answer: GCF of Numerators as per given numbers 8518/904, 7630/9455 is

GCF of Numerators i.e. for 8518,7630 is 2

LCM of denominators i.e. for 904,9455 is 8547320.

Thus, GCF of Fractions is 2/8547320.Finally, GCF of Fractions for 8518/904, 7630/9455 is 2/8547320.