Greatest Common Factor of 2830/55, 9782/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2830/55, 9782/109

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 2830/55,9782/109

Given fractions are 2830/55,9782/109

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 2830,9782

Greatest Common Factor of Numerators i.e. GCF of 2830,9782 is 2 .

LCM of Denominators means LCM of 55,109 as per the given fractions.

LCM of 55,109 is 5995 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2830,9782

GCF of Fractions 2830/55,9782/109 is 2/5995

2 2830, 9782
1415, 4891

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

Greatest Common Factor of 2830,9782 By Matching Biggest Common Factor Method

Greatest Common Factor of 2830,9782 By Matching Biggest Common Factor Method

Factors of 2830

List of positive integer factors of 2830 that divides 2830 without a remainder.

1,2,5,10,283,566,1415,2830

Factors of 9782

List of positive integer factors of 9782 that divides 9782 without a remainder.

1,2,67,73,134,146,4891,9782

Greatest Common Factor

We found the factors 2830,9782 . The biggest common factor number is the GCF number.
So the greatest common factor 2830,9782 is 2.

Lets's calculate LCM of 55,109

Given numbers has no common factors except 1. So, there LCM is their product i.e 5995

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5995

Therefore, the GCF of Fractions 2830/55,9782/109 is 2/5995

Least Common Multiple of 55,109 with GCF Formula

Least Common Multiple of 55,109 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 55,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,109) = 1

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

GCF(55,109) x common factors =1 x 1 = 1

LCM(55,109) = ( 55 × 109 ) / 1

LCM(55,109) = 5995 / 1

LCM(55,109) = 5995


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 2830/55, 9782/109

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 2830/55, 9782/109?

Answer: GCF of Numerators as per given numbers 2830/55, 9782/109 is

GCF of Numerators i.e. for 2830,9782 is 2

LCM of denominators i.e. for 55,109 is 5995.

Thus, GCF of Fractions is 2/5995.Finally, GCF of Fractions for 2830/55, 9782/109 is 2/5995.