Greatest Common Factor of 8250/671, 3870/6785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8250/671, 3870/6785

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 8250/671,3870/6785

Given fractions are 8250/671,3870/6785

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 8250,3870

Greatest Common Factor of Numerators i.e. GCF of 8250,3870 is 30 .

LCM of Denominators means LCM of 671,6785 as per the given fractions.

LCM of 671,6785 is 4552735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8250,3870

GCF of Fractions 8250/671,3870/6785 is 30/4552735

2 8250, 3870
3 4125, 1935
5 1375, 645
275, 129

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 8250,3870 By Matching Biggest Common Factor Method

Greatest Common Factor of 8250,3870 By Matching Biggest Common Factor Method

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

Factors of 3870

List of positive integer factors of 3870 that divides 3870 without a remainder.

1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870

Greatest Common Factor

We found the factors 8250,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 8250,3870 is 30.

Lets's calculate LCM of 671,6785

Given numbers has no common factors except 1. So, there LCM is their product i.e 4552735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/4552735

Therefore, the GCF of Fractions 8250/671,3870/6785 is 30/4552735

Least Common Multiple of 671,6785 with GCF Formula

Least Common Multiple of 671,6785 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 671,6785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,6785) = 1

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

GCF(671,6785) x common factors =1 x 1 = 1

LCM(671,6785) = ( 671 × 6785 ) / 1

LCM(671,6785) = 4552735 / 1

LCM(671,6785) = 4552735


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 8250/671, 3870/6785

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 8250/671, 3870/6785?

Answer: GCF of Numerators as per given numbers 8250/671, 3870/6785 is

GCF of Numerators i.e. for 8250,3870 is 30

LCM of denominators i.e. for 671,6785 is 4552735.

Thus, GCF of Fractions is 30/4552735.Finally, GCF of Fractions for 8250/671, 3870/6785 is 30/4552735.