How to Find GCF of 4912/587, 2808/1318?

GCF of 4912/587, 2808/1318

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 4912/587, 2808/1318 i.e 8/773666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4912/587, 2808/1318.

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 4912/587,2808/1318?

Given fractions are 4912/587,2808/1318

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 4912/587,2808/1318, numerators are 4912,2808

Denominators are 587,1318

The GCF of 4912,2808 is 8 .

LCM of 587,1318 is 773666.

The greatest common factor of 4912/587,2808/1318 = [GCF of 4912,2808]/[LCM of 587,1318]= 8/773666

Therefore, the GCF of 4912/587,2808/1318 is 8/773666.

Greatest Common Factor of 4912,2808

To find the highest common factor of 4912,2808, we have to find the factors of both numbers and list the highest common factor.

The factors of 4912 are 1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912

The factors of 2808 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404, 2808

The HCF of 4912,2808 is 8.

Lets's calculate GCF of 4912,2808

Greatest Common Factor (GCF) of 4912,2808 By Common Division

2	4912, 2808
2	2456, 1404
2	1228, 702
	614, 351

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4912,2808 By Matching Biggest Common Factor Method

Now, list down the factors of 4912

1,2,4,8,16,307,614,1228,2456,4912

Now, list down the factors of 2808

1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,104,108,117,156,216,234,312,351,468,702,936,1404,2808

Greatest Common Factor

We found the factors 4912,2808 . The biggest common factor number is the GCF number.
So the greatest common factor 4912,2808 is 8.

Lets's calculate LCM of 587,1318

Lowest Common Multiple of 587,1318 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 773666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/773666

Therefore, the GCF of Fractions 4912/587,2808/1318 is 8/773666

Least Common Multiple of 587,1318 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 587,1318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,1318) = 1

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

GCF(587,1318) x common factors =1 x 1 = 1

LCM(587,1318) = ( 587 × 1318 ) / 1

LCM(587,1318) = 773666 / 1

LCM(587,1318) = 773666

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4912/587, 2808/1318

1. What is the HCF of 4912,2808?

The HCF of 4912,2808 is 8

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 4912/587, 2808/1318?

Answer: GCF of Numerators as per given numbers 4912/587, 2808/1318 is

GCF of Numerators i.e. for 4912,2808 is 8

LCM of denominators i.e. for 587,1318 is 773666.

Thus, GCF of Fractions is 8/773666.Finally, GCF of Fractions for 4912/587, 2808/1318 is 8/773666.