Greatest Common Factor of 6103/674, 3749/6905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6103/674, 3749/6905

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 6103/674,3749/6905

Given fractions are 6103/674,3749/6905

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 6103,3749

Greatest Common Factor of Numerators i.e. GCF of 6103,3749 is 1 .

LCM of Denominators means LCM of 674,6905 as per the given fractions.

LCM of 674,6905 is 4653970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6103,3749

GCF of Fractions 6103/674,3749/6905 is 1/4653970

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

Greatest Common Factor of 6103,3749 By Matching Biggest Common Factor Method

Greatest Common Factor of 6103,3749 By Matching Biggest Common Factor Method

Factors of 6103

List of positive integer factors of 6103 that divides 6103 without a remainder.

1,17,359,6103

Factors of 3749

List of positive integer factors of 3749 that divides 3749 without a remainder.

1,23,163,3749

Greatest Common Factor

We found the factors 6103,3749 . The biggest common factor number is the GCF number.
So the greatest common factor 6103,3749 is 1.

Lets's calculate LCM of 674,6905

Given numbers has no common factors except 1. So, there LCM is their product i.e 4653970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4653970

Therefore, the GCF of Fractions 6103/674,3749/6905 is 1/4653970

Least Common Multiple of 674,6905 with GCF Formula

Least Common Multiple of 674,6905 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 674,6905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,6905) = 1

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

GCF(674,6905) x common factors =1 x 1 = 1

LCM(674,6905) = ( 674 × 6905 ) / 1

LCM(674,6905) = 4653970 / 1

LCM(674,6905) = 4653970


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 6103/674, 3749/6905

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 6103/674, 3749/6905?

Answer: GCF of Numerators as per given numbers 6103/674, 3749/6905 is

GCF of Numerators i.e. for 6103,3749 is 1

LCM of denominators i.e. for 674,6905 is 4653970.

Thus, GCF of Fractions is 1/4653970.Finally, GCF of Fractions for 6103/674, 3749/6905 is 1/4653970.