Greatest Common Factor of 8669/770, 8250/3100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8669/770, 8250/3100

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 8669/770,8250/3100

Given fractions are 8669/770,8250/3100

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 8669,8250

Greatest Common Factor of Numerators i.e. GCF of 8669,8250 is 1 .

LCM of Denominators means LCM of 770,3100 as per the given fractions.

LCM of 770,3100 is 238700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8669,8250

GCF of Fractions 8669/770,8250/3100 is 1/238700

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

Greatest Common Factor of 8669,8250 By Matching Biggest Common Factor Method

Greatest Common Factor of 8669,8250 By Matching Biggest Common Factor Method

Factors of 8669

List of positive integer factors of 8669 that divides 8669 without a remainder.

1,8669

Factors of 8250

List of positive integer factors of 8250 that divides 8250 without a remainder.

1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250

Greatest Common Factor

We found the factors 8669,8250 . The biggest common factor number is the GCF number.
So the greatest common factor 8669,8250 is 1.

Lets's calculate LCM of 770,3100

2 770, 3100
5 385, 1550
77, 310

∴ So the LCM of the given numbers is 2 x 5 x 77 x 310 = 238700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238700

Therefore, the GCF of Fractions 8669/770,8250/3100 is 1/238700

Least Common Multiple of 770,3100 with GCF Formula

Least Common Multiple of 770,3100 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 770,3100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,3100) = 10

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

GCF(770,3100) x common factors =10 x 1 = 10

LCM(770,3100) = ( 770 × 3100 ) / 10

LCM(770,3100) = 2387000 / 10

LCM(770,3100) = 238700


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 8669/770, 8250/3100

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 8669/770, 8250/3100?

Answer: GCF of Numerators as per given numbers 8669/770, 8250/3100 is

GCF of Numerators i.e. for 8669,8250 is 1

LCM of denominators i.e. for 770,3100 is 238700.

Thus, GCF of Fractions is 1/238700.Finally, GCF of Fractions for 8669/770, 8250/3100 is 1/238700.