Greatest Common Factor of 5579/969, 3705/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5579/969, 3705/511

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 5579/969,3705/511

Given fractions are 5579/969,3705/511

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 5579,3705

Greatest Common Factor of Numerators i.e. GCF of 5579,3705 is 1 .

LCM of Denominators means LCM of 969,511 as per the given fractions.

LCM of 969,511 is 495159 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5579,3705

GCF of Fractions 5579/969,3705/511 is 1/495159

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

Greatest Common Factor of 5579,3705 By Matching Biggest Common Factor Method

Greatest Common Factor of 5579,3705 By Matching Biggest Common Factor Method

Factors of 5579

List of positive integer factors of 5579 that divides 5579 without a remainder.

1,7,797,5579

Factors of 3705

List of positive integer factors of 3705 that divides 3705 without a remainder.

1,3,5,13,15,19,39,57,65,95,195,247,285,741,1235,3705

Greatest Common Factor

We found the factors 5579,3705 . The biggest common factor number is the GCF number.
So the greatest common factor 5579,3705 is 1.

Lets's calculate LCM of 969,511

Given numbers has no common factors except 1. So, there LCM is their product i.e 495159

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/495159

Therefore, the GCF of Fractions 5579/969,3705/511 is 1/495159

Least Common Multiple of 969,511 with GCF Formula

Least Common Multiple of 969,511 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 969,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,511) = 1

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

GCF(969,511) x common factors =1 x 1 = 1

LCM(969,511) = ( 969 × 511 ) / 1

LCM(969,511) = 495159 / 1

LCM(969,511) = 495159


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 5579/969, 3705/511

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 5579/969, 3705/511?

Answer: GCF of Numerators as per given numbers 5579/969, 3705/511 is

GCF of Numerators i.e. for 5579,3705 is 1

LCM of denominators i.e. for 969,511 is 495159.

Thus, GCF of Fractions is 1/495159.Finally, GCF of Fractions for 5579/969, 3705/511 is 1/495159.