Greatest Common Factor of 4780/284, 4914/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4780/284, 4914/560

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4780/284,4914/560

Given fractions are 4780/284,4914/560

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4780,4914

Greatest Common Factor of Numerators i.e. GCF of 4780,4914 is 2 .

LCM of Denominators means LCM of 284,560 as per the given fractions.

LCM of 284,560 is 39760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4780,4914

GCF of Fractions 4780/284,4914/560 is 2/39760

2 4780, 4914
2390, 2457

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

Greatest Common Factor of 4780,4914 By Matching Biggest Common Factor Method

Greatest Common Factor of 4780,4914 By Matching Biggest Common Factor Method

Factors of 4780

List of positive integer factors of 4780 that divides 4780 without a remainder.

1,2,4,5,10,20,239,478,956,1195,2390,4780

Factors of 4914

List of positive integer factors of 4914 that divides 4914 without a remainder.

1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914

Greatest Common Factor

We found the factors 4780,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 4780,4914 is 2.

Lets's calculate LCM of 284,560

2 284, 560
2 142, 280
71, 140

∴ So the LCM of the given numbers is 2 x 2 x 71 x 140 = 39760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39760

Therefore, the GCF of Fractions 4780/284,4914/560 is 2/39760

Least Common Multiple of 284,560 with GCF Formula

Least Common Multiple of 284,560 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 284,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,560) = 4

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

GCF(284,560) x common factors =4 x 1 = 4

LCM(284,560) = ( 284 × 560 ) / 4

LCM(284,560) = 159040 / 4

LCM(284,560) = 39760


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4780/284, 4914/560

1. 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.

2. What is the GCF of Fractions for 4780/284, 4914/560?

Answer: GCF of Numerators as per given numbers 4780/284, 4914/560 is

GCF of Numerators i.e. for 4780,4914 is 2

LCM of denominators i.e. for 284,560 is 39760.

Thus, GCF of Fractions is 2/39760.Finally, GCF of Fractions for 4780/284, 4914/560 is 2/39760.