Greatest Common Factor of 1220/810, 2297/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1220/810, 2297/848

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 1220/810,2297/848

Given fractions are 1220/810,2297/848

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 1220,2297

Greatest Common Factor of Numerators i.e. GCF of 1220,2297 is 1 .

LCM of Denominators means LCM of 810,848 as per the given fractions.

LCM of 810,848 is 343440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1220,2297

GCF of Fractions 1220/810,2297/848 is 1/343440

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

Greatest Common Factor of 1220,2297 By Matching Biggest Common Factor Method

Greatest Common Factor of 1220,2297 By Matching Biggest Common Factor Method

Factors of 1220

List of positive integer factors of 1220 that divides 1220 without a remainder.

1,2,4,5,10,20,61,122,244,305,610,1220

Factors of 2297

List of positive integer factors of 2297 that divides 2297 without a remainder.

1,2297

Greatest Common Factor

We found the factors 1220,2297 . The biggest common factor number is the GCF number.
So the greatest common factor 1220,2297 is 1.

Lets's calculate LCM of 810,848

2 810, 848
405, 424

∴ So the LCM of the given numbers is 2 x 405 x 424 = 343440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343440

Therefore, the GCF of Fractions 1220/810,2297/848 is 1/343440

Least Common Multiple of 810,848 with GCF Formula

Least Common Multiple of 810,848 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 810,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,848) = 2

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

GCF(810,848) x common factors =2 x 1 = 2

LCM(810,848) = ( 810 × 848 ) / 2

LCM(810,848) = 686880 / 2

LCM(810,848) = 343440


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 1220/810, 2297/848

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 1220/810, 2297/848?

Answer: GCF of Numerators as per given numbers 1220/810, 2297/848 is

GCF of Numerators i.e. for 1220,2297 is 1

LCM of denominators i.e. for 810,848 is 343440.

Thus, GCF of Fractions is 1/343440.Finally, GCF of Fractions for 1220/810, 2297/848 is 1/343440.