Greatest Common Factor of 4896/457, 6988/4909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4896/457, 6988/4909

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 4896/457,6988/4909

Given fractions are 4896/457,6988/4909

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 4896,6988

Greatest Common Factor of Numerators i.e. GCF of 4896,6988 is 4 .

LCM of Denominators means LCM of 457,4909 as per the given fractions.

LCM of 457,4909 is 2243413 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4896,6988

GCF of Fractions 4896/457,6988/4909 is 4/2243413

2 4896, 6988
2 2448, 3494
1224, 1747

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

Greatest Common Factor of 4896,6988 By Matching Biggest Common Factor Method

Greatest Common Factor of 4896,6988 By Matching Biggest Common Factor Method

Factors of 4896

List of positive integer factors of 4896 that divides 4896 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,68,72,96,102,136,144,153,204,272,288,306,408,544,612,816,1224,1632,2448,4896

Factors of 6988

List of positive integer factors of 6988 that divides 6988 without a remainder.

1,2,4,1747,3494,6988

Greatest Common Factor

We found the factors 4896,6988 . The biggest common factor number is the GCF number.
So the greatest common factor 4896,6988 is 4.

Lets's calculate LCM of 457,4909

Given numbers has no common factors except 1. So, there LCM is their product i.e 2243413

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2243413

Therefore, the GCF of Fractions 4896/457,6988/4909 is 4/2243413

Least Common Multiple of 457,4909 with GCF Formula

Least Common Multiple of 457,4909 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 457,4909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,4909) = 1

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

GCF(457,4909) x common factors =1 x 1 = 1

LCM(457,4909) = ( 457 × 4909 ) / 1

LCM(457,4909) = 2243413 / 1

LCM(457,4909) = 2243413


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 4896/457, 6988/4909

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 4896/457, 6988/4909?

Answer: GCF of Numerators as per given numbers 4896/457, 6988/4909 is

GCF of Numerators i.e. for 4896,6988 is 4

LCM of denominators i.e. for 457,4909 is 2243413.

Thus, GCF of Fractions is 4/2243413.Finally, GCF of Fractions for 4896/457, 6988/4909 is 4/2243413.