Greatest Common Factor of 411/58, 7800/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 411/58, 7800/550

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 411/58,7800/550

Given fractions are 411/58,7800/550

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 411,7800

Greatest Common Factor of Numerators i.e. GCF of 411,7800 is 3 .

LCM of Denominators means LCM of 58,550 as per the given fractions.

LCM of 58,550 is 15950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 411,7800

GCF of Fractions 411/58,7800/550 is 3/15950

3 411, 7800
137, 2600

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 411,7800 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,7800 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 7800

List of positive integer factors of 7800 that divides 7800 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800

Greatest Common Factor

We found the factors 411,7800 . The biggest common factor number is the GCF number.
So the greatest common factor 411,7800 is 3.

Lets's calculate LCM of 58,550

2 58, 550
29, 275

∴ So the LCM of the given numbers is 2 x 29 x 275 = 15950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15950

Therefore, the GCF of Fractions 411/58,7800/550 is 3/15950

Least Common Multiple of 58,550 with GCF Formula

Least Common Multiple of 58,550 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 58,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,550) = 2

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

GCF(58,550) x common factors =2 x 1 = 2

LCM(58,550) = ( 58 × 550 ) / 2

LCM(58,550) = 31900 / 2

LCM(58,550) = 15950


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 411/58, 7800/550

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 411/58, 7800/550?

Answer: GCF of Numerators as per given numbers 411/58, 7800/550 is

GCF of Numerators i.e. for 411,7800 is 3

LCM of denominators i.e. for 58,550 is 15950.

Thus, GCF of Fractions is 3/15950.Finally, GCF of Fractions for 411/58, 7800/550 is 3/15950.