Greatest Common Factor of 6161/719, 1760/5009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6161/719, 1760/5009

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 6161/719,1760/5009

Given fractions are 6161/719,1760/5009

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 6161,1760

Greatest Common Factor of Numerators i.e. GCF of 6161,1760 is 1 .

LCM of Denominators means LCM of 719,5009 as per the given fractions.

LCM of 719,5009 is 3601471 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6161,1760

GCF of Fractions 6161/719,1760/5009 is 1/3601471

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

Greatest Common Factor of 6161,1760 By Matching Biggest Common Factor Method

Greatest Common Factor of 6161,1760 By Matching Biggest Common Factor Method

Factors of 6161

List of positive integer factors of 6161 that divides 6161 without a remainder.

1,61,101,6161

Factors of 1760

List of positive integer factors of 1760 that divides 1760 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,80,88,110,160,176,220,352,440,880,1760

Greatest Common Factor

We found the factors 6161,1760 . The biggest common factor number is the GCF number.
So the greatest common factor 6161,1760 is 1.

Lets's calculate LCM of 719,5009

Given numbers has no common factors except 1. So, there LCM is their product i.e 3601471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3601471

Therefore, the GCF of Fractions 6161/719,1760/5009 is 1/3601471

Least Common Multiple of 719,5009 with GCF Formula

Least Common Multiple of 719,5009 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 719,5009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,5009) = 1

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

GCF(719,5009) x common factors =1 x 1 = 1

LCM(719,5009) = ( 719 × 5009 ) / 1

LCM(719,5009) = 3601471 / 1

LCM(719,5009) = 3601471


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 6161/719, 1760/5009

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 6161/719, 1760/5009?

Answer: GCF of Numerators as per given numbers 6161/719, 1760/5009 is

GCF of Numerators i.e. for 6161,1760 is 1

LCM of denominators i.e. for 719,5009 is 3601471.

Thus, GCF of Fractions is 1/3601471.Finally, GCF of Fractions for 6161/719, 1760/5009 is 1/3601471.