Greatest Common Factor of 822/780, 4260/4550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 822/780, 4260/4550

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 822/780,4260/4550

Given fractions are 822/780,4260/4550

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 822,4260

Greatest Common Factor of Numerators i.e. GCF of 822,4260 is 6 .

LCM of Denominators means LCM of 780,4550 as per the given fractions.

LCM of 780,4550 is 27300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 822,4260

GCF of Fractions 822/780,4260/4550 is 6/27300

2 822, 4260
3 411, 2130
137, 710

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 822,4260 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,4260 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 4260

List of positive integer factors of 4260 that divides 4260 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,71,142,213,284,355,426,710,852,1065,1420,2130,4260

Greatest Common Factor

We found the factors 822,4260 . The biggest common factor number is the GCF number.
So the greatest common factor 822,4260 is 6.

Lets's calculate LCM of 780,4550

2 780, 4550
5 390, 2275
13 78, 455
6, 35

∴ So the LCM of the given numbers is 2 x 5 x 13 x 6 x 35 = 27300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/27300

Therefore, the GCF of Fractions 822/780,4260/4550 is 6/27300

Least Common Multiple of 780,4550 with GCF Formula

Least Common Multiple of 780,4550 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 780,4550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,4550) = 130

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

GCF(780,4550) x common factors =130 x 1 = 130

LCM(780,4550) = ( 780 × 4550 ) / 130

LCM(780,4550) = 3549000 / 130

LCM(780,4550) = 27300


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 822/780, 4260/4550

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 822/780, 4260/4550?

Answer: GCF of Numerators as per given numbers 822/780, 4260/4550 is

GCF of Numerators i.e. for 822,4260 is 6

LCM of denominators i.e. for 780,4550 is 27300.

Thus, GCF of Fractions is 6/27300.Finally, GCF of Fractions for 822/780, 4260/4550 is 6/27300.