Greatest Common Factor of 220/8700, 247/8300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 220/8700, 247/8300

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 220/8700,247/8300

Given fractions are 220/8700,247/8300

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 220,247

Greatest Common Factor of Numerators i.e. GCF of 220,247 is 1 .

LCM of Denominators means LCM of 8700,8300 as per the given fractions.

LCM of 8700,8300 is 722100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 220,247

GCF of Fractions 220/8700,247/8300 is 1/722100

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

Greatest Common Factor of 220,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,247 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 220,247 . The biggest common factor number is the GCF number.
So the greatest common factor 220,247 is 1.

Lets's calculate LCM of 8700,8300

2 8700, 8300
2 4350, 4150
5 2175, 2075
5 435, 415
87, 83

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 87 x 83 = 722100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/722100

Therefore, the GCF of Fractions 220/8700,247/8300 is 1/722100

Least Common Multiple of 8700,8300 with GCF Formula

Least Common Multiple of 8700,8300 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 8700,8300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8700,8300) = 100

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

GCF(8700,8300) x common factors =100 x 1 = 100

LCM(8700,8300) = ( 8700 × 8300 ) / 100

LCM(8700,8300) = 72210000 / 100

LCM(8700,8300) = 722100


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 220/8700, 247/8300

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 220/8700, 247/8300?

Answer: GCF of Numerators as per given numbers 220/8700, 247/8300 is

GCF of Numerators i.e. for 220,247 is 1

LCM of denominators i.e. for 8700,8300 is 722100.

Thus, GCF of Fractions is 1/722100.Finally, GCF of Fractions for 220/8700, 247/8300 is 1/722100.