How to Find GCF of 7160/608, 8764/8733?

GCF of 7160/608, 8764/8733

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 7160/608, 8764/8733 i.e 4/5309664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7160/608, 8764/8733.

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 7160/608,8764/8733?

Given fractions are 7160/608,8764/8733

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 7160/608,8764/8733, numerators are 7160,8764

Denominators are 608,8733

The GCF of 7160,8764 is 4 .

LCM of 608,8733 is 5309664.

The greatest common factor of 7160/608,8764/8733 = [GCF of 7160,8764]/[LCM of 608,8733]= 4/5309664

Therefore, the GCF of 7160/608,8764/8733 is 4/5309664.

Greatest Common Factor of 7160,8764

To find the highest common factor of 7160,8764, we have to find the factors of both numbers and list the highest common factor.

The factors of 7160 are 1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160

The factors of 8764 are 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764

The HCF of 7160,8764 is 4.

Lets's calculate GCF of 7160,8764

Greatest Common Factor (GCF) of 7160,8764 By Common Division

2	7160, 8764
2	3580, 4382
	1790, 2191

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7160,8764 By Matching Biggest Common Factor Method

Now, list down the factors of 7160

1,2,4,5,8,10,20,40,179,358,716,895,1432,1790,3580,7160

Now, list down the factors of 8764

1,2,4,7,14,28,313,626,1252,2191,4382,8764

Greatest Common Factor

We found the factors 7160,8764 . The biggest common factor number is the GCF number.
So the greatest common factor 7160,8764 is 4.

Lets's calculate LCM of 608,8733

Lowest Common Multiple of 608,8733 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5309664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5309664

Therefore, the GCF of Fractions 7160/608,8764/8733 is 4/5309664

Least Common Multiple of 608,8733 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 608,8733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,8733) = 1

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

GCF(608,8733) x common factors =1 x 1 = 1

LCM(608,8733) = ( 608 × 8733 ) / 1

LCM(608,8733) = 5309664 / 1

LCM(608,8733) = 5309664

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7160/608, 8764/8733

1. What is the HCF of 7160,8764?

The HCF of 7160,8764 is 4

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 7160/608, 8764/8733?

Answer: GCF of Numerators as per given numbers 7160/608, 8764/8733 is

GCF of Numerators i.e. for 7160,8764 is 4

LCM of denominators i.e. for 608,8733 is 5309664.

Thus, GCF of Fractions is 4/5309664.Finally, GCF of Fractions for 7160/608, 8764/8733 is 4/5309664.