Greatest Common Factor of 2200/505, 6755/9175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2200/505, 6755/9175

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 2200/505,6755/9175

Given fractions are 2200/505,6755/9175

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 2200,6755

Greatest Common Factor of Numerators i.e. GCF of 2200,6755 is 5 .

LCM of Denominators means LCM of 505,9175 as per the given fractions.

LCM of 505,9175 is 926675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2200,6755

GCF of Fractions 2200/505,6755/9175 is 5/926675

5 2200, 6755
440, 1351

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2200,6755 By Matching Biggest Common Factor Method

Greatest Common Factor of 2200,6755 By Matching Biggest Common Factor Method

Factors of 2200

List of positive integer factors of 2200 that divides 2200 without a remainder.

1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200

Factors of 6755

List of positive integer factors of 6755 that divides 6755 without a remainder.

1,5,7,35,193,965,1351,6755

Greatest Common Factor

We found the factors 2200,6755 . The biggest common factor number is the GCF number.
So the greatest common factor 2200,6755 is 5.

Lets's calculate LCM of 505,9175

5 505, 9175
101, 1835

∴ So the LCM of the given numbers is 5 x 101 x 1835 = 926675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/926675

Therefore, the GCF of Fractions 2200/505,6755/9175 is 5/926675

Least Common Multiple of 505,9175 with GCF Formula

Least Common Multiple of 505,9175 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 505,9175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,9175) = 5

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

GCF(505,9175) x common factors =5 x 1 = 5

LCM(505,9175) = ( 505 × 9175 ) / 5

LCM(505,9175) = 4633375 / 5

LCM(505,9175) = 926675


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 2200/505, 6755/9175

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 2200/505, 6755/9175?

Answer: GCF of Numerators as per given numbers 2200/505, 6755/9175 is

GCF of Numerators i.e. for 2200,6755 is 5

LCM of denominators i.e. for 505,9175 is 926675.

Thus, GCF of Fractions is 5/926675.Finally, GCF of Fractions for 2200/505, 6755/9175 is 5/926675.