Greatest Common Factor of 4777/812, 5030/2240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4777/812, 5030/2240

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 4777/812,5030/2240

Given fractions are 4777/812,5030/2240

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 4777,5030

Greatest Common Factor of Numerators i.e. GCF of 4777,5030 is 1 .

LCM of Denominators means LCM of 812,2240 as per the given fractions.

LCM of 812,2240 is 64960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4777,5030

GCF of Fractions 4777/812,5030/2240 is 1/64960

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4777,5030 By Matching Biggest Common Factor Method

Greatest Common Factor of 4777,5030 By Matching Biggest Common Factor Method

Factors of 4777

List of positive integer factors of 4777 that divides 4777 without a remainder.

1,17,281,4777

Factors of 5030

List of positive integer factors of 5030 that divides 5030 without a remainder.

1,2,5,10,503,1006,2515,5030

Greatest Common Factor

We found the factors 4777,5030 . The biggest common factor number is the GCF number.
So the greatest common factor 4777,5030 is 1.

Lets's calculate LCM of 812,2240

2 812, 2240
2 406, 1120
7 203, 560
29, 80

∴ So the LCM of the given numbers is 2 x 2 x 7 x 29 x 80 = 64960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64960

Therefore, the GCF of Fractions 4777/812,5030/2240 is 1/64960

Least Common Multiple of 812,2240 with GCF Formula

Least Common Multiple of 812,2240 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 812,2240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,2240) = 28

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

GCF(812,2240) x common factors =28 x 1 = 28

LCM(812,2240) = ( 812 × 2240 ) / 28

LCM(812,2240) = 1818880 / 28

LCM(812,2240) = 64960


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 4777/812, 5030/2240

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 4777/812, 5030/2240?

Answer: GCF of Numerators as per given numbers 4777/812, 5030/2240 is

GCF of Numerators i.e. for 4777,5030 is 1

LCM of denominators i.e. for 812,2240 is 64960.

Thus, GCF of Fractions is 1/64960.Finally, GCF of Fractions for 4777/812, 5030/2240 is 1/64960.