Greatest Common Factor of 1085/199, 7760/4478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1085/199, 7760/4478

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 1085/199,7760/4478

Given fractions are 1085/199,7760/4478

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 1085,7760

Greatest Common Factor of Numerators i.e. GCF of 1085,7760 is 5 .

LCM of Denominators means LCM of 199,4478 as per the given fractions.

LCM of 199,4478 is 891122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1085,7760

GCF of Fractions 1085/199,7760/4478 is 5/891122

5 1085, 7760
217, 1552

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

Greatest Common Factor of 1085,7760 By Matching Biggest Common Factor Method

Greatest Common Factor of 1085,7760 By Matching Biggest Common Factor Method

Factors of 1085

List of positive integer factors of 1085 that divides 1085 without a remainder.

1,5,7,31,35,155,217,1085

Factors of 7760

List of positive integer factors of 7760 that divides 7760 without a remainder.

1,2,4,5,8,10,16,20,40,80,97,194,388,485,776,970,1552,1940,3880,7760

Greatest Common Factor

We found the factors 1085,7760 . The biggest common factor number is the GCF number.
So the greatest common factor 1085,7760 is 5.

Lets's calculate LCM of 199,4478

Given numbers has no common factors except 1. So, there LCM is their product i.e 891122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/891122

Therefore, the GCF of Fractions 1085/199,7760/4478 is 5/891122

Least Common Multiple of 199,4478 with GCF Formula

Least Common Multiple of 199,4478 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 199,4478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,4478) = 1

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

GCF(199,4478) x common factors =1 x 1 = 1

LCM(199,4478) = ( 199 × 4478 ) / 1

LCM(199,4478) = 891122 / 1

LCM(199,4478) = 891122


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 1085/199, 7760/4478

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 1085/199, 7760/4478?

Answer: GCF of Numerators as per given numbers 1085/199, 7760/4478 is

GCF of Numerators i.e. for 1085,7760 is 5

LCM of denominators i.e. for 199,4478 is 891122.

Thus, GCF of Fractions is 5/891122.Finally, GCF of Fractions for 1085/199, 7760/4478 is 5/891122.