Greatest Common Factor of 3667/77, 2850/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3667/77, 2850/880

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 3667/77,2850/880

Given fractions are 3667/77,2850/880

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 3667,2850

Greatest Common Factor of Numerators i.e. GCF of 3667,2850 is 19 .

LCM of Denominators means LCM of 77,880 as per the given fractions.

LCM of 77,880 is 6160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3667,2850

GCF of Fractions 3667/77,2850/880 is 19/6160

19 3667, 2850
193, 150

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 3667,2850 By Matching Biggest Common Factor Method

Greatest Common Factor of 3667,2850 By Matching Biggest Common Factor Method

Factors of 3667

List of positive integer factors of 3667 that divides 3667 without a remainder.

1,19,193,3667

Factors of 2850

List of positive integer factors of 2850 that divides 2850 without a remainder.

1,2,3,5,6,10,15,19,25,30,38,50,57,75,95,114,150,190,285,475,570,950,1425,2850

Greatest Common Factor

We found the factors 3667,2850 . The biggest common factor number is the GCF number.
So the greatest common factor 3667,2850 is 19.

Lets's calculate LCM of 77,880

11 77, 880
7, 80

∴ So the LCM of the given numbers is 11 x 7 x 80 = 6160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/6160

Therefore, the GCF of Fractions 3667/77,2850/880 is 19/6160

Least Common Multiple of 77,880 with GCF Formula

Least Common Multiple of 77,880 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 77,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,880) = 11

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

GCF(77,880) x common factors =11 x 1 = 11

LCM(77,880) = ( 77 × 880 ) / 11

LCM(77,880) = 67760 / 11

LCM(77,880) = 6160


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 3667/77, 2850/880

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 3667/77, 2850/880?

Answer: GCF of Numerators as per given numbers 3667/77, 2850/880 is

GCF of Numerators i.e. for 3667,2850 is 19

LCM of denominators i.e. for 77,880 is 6160.

Thus, GCF of Fractions is 19/6160.Finally, GCF of Fractions for 3667/77, 2850/880 is 19/6160.